File: history-management.lisp

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; ACL2 Version 3.1 -- A Computational Logic for Applicative Common Lisp
; Copyright (C) 2006  University of Texas at Austin

; This version of ACL2 is a descendent of ACL2 Version 1.9, Copyright
; (C) 1997 Computational Logic, Inc.  See the documentation topic NOTE-2-0.

; This program is free software; you can redistribute it and/or modify
; it under the terms of the GNU General Public License as published by
; the Free Software Foundation; either version 2 of the License, or
; (at your option) any later version.

; This program is distributed in the hope that it will be useful,
; but WITHOUT ANY WARRANTY; without even the implied warranty of
; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
; GNU General Public License for more details.

; You should have received a copy of the GNU General Public License
; along with this program; if not, write to the Free Software
; Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.

; Written by:  Matt Kaufmann               and J Strother Moore
; email:       Kaufmann@cs.utexas.edu      and Moore@cs.utexas.edu
; Department of Computer Sciences
; University of Texas at Austin
; Austin, TX 78712-1188 U.S.A.

(in-package "ACL2")

; Section:  Proof Trees

; A goal tree is a structure of the following form, with the fields indicated
; below.  We put the two non-changing fields at the end; note:

#|
ACL2 p>:sbt 4

The Binary Trees with Four Tips
2.000  ((2 . 2) 2 . 2)
2.250  (1 2 3 . 3)
|#

(defrec goal-tree (children processor cl-id . fanout) nil)

; Cl-id is a clause-id record for the name of the goal.

; Children is a list of goal trees or else a positive integer.  In the latter
; case, this positive integer indicates the remaining number of children for
; which to build goal trees.

; Fanout is the original number of children.

; Processor is one of the processors from *preprocess-clause-ledge* (except for
; settled-down-clause, which has no use here), except that we have two special
; annotations and two "fictitious" processors.

; Instead of push-clause, we use (push-clause name), where name is the
; clause-id of the clause pushed (e.g., the clause-id corresponding to "*1").
; Except:  (push-clause cl-id name :REVERT) is used when we are reverting to
; the original goal, and in this case, cl-id always corresponds to *1; also,
; (push-clause cl-id name :ABORT) is used when the proof is aborted by
; push-clause.

; Instead of a processor pr, we may have (pr :forced), which indicates that
; this processor forced assumptions (but remember, some of those might get
; proved during the final clean-up phase).  When we enter the next forcing
; round, we will add a list of new goals created by that forcing, e.g., (pr
; :forced clause-id_1 ... clause-id_n).  As we go along we may prune some of
; those away.

; Finally, occasionally the top-level node in a goal-tree is "fictitious", such
; as the one for "[1]Goal" if the first forcing round presented more than one
; forced goal, and such as any goal to be proved by induction.  In that case,
; we use one of the keyword labels :INDUCT or :FORCING-ROUND.  We may allow
; lists headed by such keywords, e.g. if we want to say what induction scheme
; is being used.

; A proof tree is simply a non-empty list of goal trees.  The "current" goal
; tree is the CAR of the current proof tree.

; There is always a current proof tree, (@ proof-tree), except when we are
; inhibiting proof-tree output or are not yet in a proof.  The current goal in
; a proof is always the first one associated with the first subtree of the
; current goal-tree that has a non-nil final CDR, via a left-to-right
; depth-first traversal of that tree.  We keep the proof tree pruned, trimming
; away proved subgoals and their children.

; The proof tree is printed to the screen, enclosed in #\n\<0 ... #\n\>.  We
; start with # because that seems like a rare character, and we want to leave
; emacs as unburdened as possible in its use of string-matching.  And, we put a
; newline in front of \ because in ordinary PRINT-like (as opposed to
; PRINC-like) printing, as done by the prover, \ is always quoted and hence
; would not appear in a sequence such as <newline>\?, where ? is any character
; besides \.  Naturally, this output can be inhibited, simply by putting
; 'proof-tree on the state global variable inhibit-output-lst.  Mike Smith has
; built, and we have modified, a "filter" tool for redirecting such output in a
; nice form to appropriate emacs buffers.  People who do not want to use the
; emacs facility should probably inhibit proof-tree output using
; :stop-proof-tree.

(defmacro initialize-from-alist (&rest alist)

; Note that we do not override existing values of the indicated state global
; variables, in order to support start-proof-tree-fn appropriately.  See the
; comment in initialize-proof-tree.

  (if (null alist)
      'state
    `(cond ((boundp-global ',(caar alist) state)
            (initialize-from-alist ,@(cdr alist)))
           (t
            (pprogn (f-put-global ',(caar alist) ,(cdar alist) state)
                    (initialize-from-alist ,@(cdr alist)))))))

(deflabel proof-tree
  :doc
  ":Doc-Section Proof-tree

  proof tree displays~/

  A view of ACL2 proofs may be obtained by way of ``proof tree
  displays.''  The emacs environment is easily customized to provide
  window-based proof tree displays that assist in traversing and
  making sense of the proof transcript; ~pl[proof-tree-emacs].
  Proof tree displays may be turned on with the command ~c[:]~ilc[start-proof-tree]
  and may be turned off with the command ~c[:]~ilc[stop-proof-tree];
  ~pl[start-proof-tree] and ~pl[stop-proof-tree].~/

  Here is an example of a proof tree display, with comments.  Lines
  marked with ``c'' are considered ``checkpoints,'' i.e., goals whose
  scrutiny may be of particular value.
  ~bv[]
  ( DEFTHM PLUS-TREE-DEL ...)    ;currently proving PLUS-TREE-DEL
     1 Goal preprocess   ;\"Goal\" creates 1 subgoal by preprocessing
     2 |  Goal' simp     ;\"Goal'\" creates 2 subgoals by simplification
  c  0 |  |  Subgoal 2 PUSH *1   ;\"Subgoal 2\" pushes \"*1\" for INDUCT
  ++++++++++++++++++++++++++++++ ;first pass thru waterfall completed
  c  6 *1 INDUCT                 ;Proof by induction of \"*1\" has
       |  <5 more subgoals>      ; created 6 top-level subgoals.  At
                                 ; this point, one of those 6 has been
                                 ; proved, and 5 remain to be proved.
                                 ; We are currently working on the
                                 ; first of those 5 remaining goals.
  ~ev[]
  ~l[proof-tree-examples] for many examples that contain proof
  tree displays.  But first, we summarize the kinds of lines that may
  appear in a proof tree display.  The simplest form of a proof tree
  display is a header showing the current event, followed by list of
  lines, each having one of the following forms.
  ~bv[]
      n <goal> <process> ...
  ~ev[]
  Says that the indicated goal created ~c[n] subgoals using the
  indicated process.  Here ``...'' refers to possible additional
  information.
  ~bv[]
  c   n <goal> <process> ...
  ~ev[]
  As above, but calls attention to the fact that this goal is a
  ``checkpoint'' in the sense that it may be of particular interest.
  Some displays may overwrite ``c'' with ``>'' to indicate the current
  checkpoint being shown in the proof transcript.
  ~bv[]
       |  <goal> ...
       |  |  <k subgoals>
  ~ev[]
  Indicates that the goal just above this line, which is pointed to
  by the rightmost vertical bar (``|''), has ~c[k] subgoals, none of which
  have yet been processed.
  ~bv[]
       |  <goal> ...
       |  |  <k more subgoals>
  ~ev[]
  As above, except that some subgoals have already been processed.
  ~bv[]
  ++++++++++++++++++++++++++++++
  ~ev[]
  Separates successive passes through the ``waterfall''.  Thus, this
  ``fencepost'' mark indicates the start of a new proof by induction
  or of a new forcing round.

  ~l[proof-tree-examples] for detailed examples.  To learn how to
  turn off proof tree displays or to turn them back on again,
  ~pl[stop-proof-tree] and ~pl[start-proof-tree],
  respectively. ~l[checkpoint-forced-goals] to learn how to mark
  goals as checkpoints that ~il[force] the creation of goals in forcing
  rounds.  Finally, ~pl[proof-tree-details] for some points not
  covered elsewhere.")

(deflabel proof-tree-emacs
  :doc
  ":Doc-Section Proof-tree

  using emacs with proof trees~/

  Within emacs, proof trees provide a sort of structure for the linear
  proof transcript output by the ACL2 prover.  Below we explain how to
  get proof trees set up in your emacs environment.~/

  To get started you add a single autoload form to your .emacs file and
  then issue the corresponding M-x command.  The file
  ~c[emacs/emacs-acl2.el] under the ACL2 distribution contains everything
  you need to get started, and more.  Alternatively put the following
  into your ~c[.emacs] file, first replacing `~c[v2-x]' in order to point
  to the current ACL2 release.
  ~bv[]
  (setq *acl2-interface-dir*
        \"/projects/acl2/v2-x/acl2-sources/interface/emacs/\")

  (autoload 'start-proof-tree
    (concat *acl2-interface-dir* \"top-start-shell-acl2\")
    \"Enable proof tree logging in a prooftree buffer.\"
    t)
  ~ev[]
  Once the above is taken care of, then to start using proof trees you
  do two things.  In emacs, evaluate:
  ~bv[]
     M-x start-proof-tree
  ~ev[]
  Also, in your ACL2, evaluate
  ~bv[]
    :start-proof-tree
  ~ev[]
  If you want to turn off proof trees, evaluate this in emacs
  ~bv[]
     M-x stop-proof-tree
  ~ev[]
  and evaluate this in your ACL2 session:
  ~bv[]
    :stop-proof-tree
  ~ev[]
  When you do ~c[meta-x start-proof-tree] for the first time in your emacs
  session, you will be prompted for some information.  You can avoid the
  prompt by putting the following in your ~c[.emacs] file.  The defaults are
  as shown, but you can of course change them.
  ~bv[]
   (setq *acl2-proof-tree-height* 17)
   (setq *checkpoint-recenter-line* 3)
   (setq *mfm-buffer* \"*shell*\")
  ~ev[]
  Proof tree support has been tested in Emacs 18, 19, and 20 as well as
  in Lemacs 19.

  Once you start proof trees (meta-x start-proof-tree), you will have
  defined the following key bindings.
  ~bv[]
     C-z z               Previous C-z key binding
     C-z c               Go to checkpoint
     C-z s               Suspend proof tree
     C-z r               Resume proof tree
     C-z a               Mfm abort secondary buffer
     C-z g               Goto subgoal
     C-z h               help
     C-z ?               help
  ~ev[]
  Ordinary emacs help describes these in more detail; for example, you
  can start with:
  ~bv[]
    C-h k C-z h
  ~ev[]
  Also ~pl[proof-tree-bindings] for that additional documentation.

  The file ~c[interface/emacs/README.doc] discusses an extension of ACL2
  proof trees that allows the mouse to be used with menus.  That
  extension may well work, but it is no longer supported.  The basic
  proof tree interface, however, is supported and is what is described
  in detail elsewhere; ~pl[proof-tree].  Thanks to Mike Smith for
  his major role in providing emacs support for proof trees.")

(deflabel proof-tree-bindings
  :doc
  ":Doc-Section Proof-tree-emacs

  using emacs with proof trees~/

  The key bindings set up when you start proof trees are shown below.
  ~l[proof-tree-emacs] for how to get started with proof trees.~/

  ~bv[]
     C-z h               help
     C-z ?               help
  ~ev[]
  Provides information about proof-tree/checkpoint tool.
  Use `C-h d' to get more detailed information for specific functions.

  ~bv[]
     C-z c               Go to checkpoint
  ~ev[]
  Go to a checkpoint, as displayed in the \"prooftree\" buffer with
  the character ~c[c] in the first column.  With non-zero prefix
  argument:  move the point in the ACL2 buffer (emacs variable
  ~c[*mfm-buffer*]) to the first checkpoint displayed in the \"prooftree\"
  buffer, suspend the proof tree (see ~c[suspend-proof-tree]), and move the
  cursor below that checkpoint in the \"prooftree\" buffer.  Without a
  prefix argument, go to the first checkpoint named below the point in
  the \"prooftree\" buffer (or if there is none, to the first
  checkpoint).  Note however that unless the proof tree is suspended or
  the ACL2 proof is complete or interrupted, the cursor will be
  generally be at the bottom of the \"prooftree\" buffer each time it is
  modified, which causes the first checkpoint to be the one that is
  found.

  If the prefix argument is 0, move to the first checkpoint but do not
  keep suspended.

  ~bv[]
     C-z g               Goto subgoal
  ~ev[]
  Go to the specified subgoal in the ACL2 buffer (emacs variable
  ~c[*mfm-buffer*]) that lies closest to the end of that buffer -- except if
  the current buffer is \"prooftree\" when this command is invoked, the
  subgoal is the one from the proof whose tree is displayed in that
  buffer.  A default is obtained, when possible, from the current line
  of the current buffer.
  
  ~bv[]
     C-z r               Resume proof tree
  ~ev[]
  Resume original proof tree display, re-creating buffer
  \"prooftree\" if necessary.  See also ~c[suspend-proof-tree].  With prefix
  argument:  push the mark, do not modify the windows, and move point to
  end of ~c[*mfm-buffer*].

  ~bv[]
     C-z s               Suspend proof tree
  ~ev[]
  Freeze the contents of the \"prooftree\" buffer, until
  ~c[resume-proof-tree] is invoked.  Unlike ~c[stop-proof-tree], the only effect
  of ~c[suspend-proof-tree] is to stop putting characters into the
  \"prooftree\" buffer; in particular, strings destined for that buffer
  continue ~sc[not] to be put into the primary buffer, which is the value of
  the emacs variable ~c[*mfm-buffer*].")

(deflabel proof-tree-examples
  :doc
  ":Doc-Section Proof-tree

  proof tree example~/

  ~l[proof-tree] for an introduction to proof trees, and for a
  list of related topics.  Here we present a detailed example followed
  by a shorter example that illustrates proof by induction.~/

  Consider the ~il[guard] proof for the definition of a function
  ~c[cancel_equal_plus]; the body of this definition is of no importance
  here.  The first proof tree display is:
  ~bv[]
  ( DEFUN CANCEL_EQUAL_PLUS ...)
    18 Goal preprocess
       |  <18 subgoals>
  ~ev[]
  This is to be read as follows.
  ~bq[]
   At this stage of the proof we have encountered the top-level goal,
   named \"Goal\", which generated 18 subgoals using the
   ``preprocess'' process.  We have not yet begun to work on those
   subgoals.
  ~eq[]
  The corresponding message from the ordinary prover output is:
  ~bq[]
   By case analysis we reduce the conjecture to the following 18
   conjectures.
  ~eq[]
  Note that the field just before the name of the goal (~c[\"Goal\"]),
  which here contains the number 18, indicates the number of cases
  (children) created by the goal using the indicated process.  This
  number will remain unchanged as long as this goal is displayed.

  The next proof tree display is:
  ~bv[]
  ( DEFUN CANCEL_EQUAL_PLUS ...)
    18 Goal preprocess
     1 |  Subgoal 18 simp
       |  |  <1 subgoal>
       |  <17 more subgoals>
  ~ev[]
  which indicates that at this point, the prover has used the
  simplification (``simp'') process on Subgoal 18 to create one
  subgoal (``<1 subgoal>'').  The vertical bar (``|'') below ``Subgoal
  18'', accompanied by the line below it, signifies that there are 17
  siblings of Subgoal 18 that remain to be processed.

  The next proof tree displayed is:
  ~bv[]
  ( DEFUN CANCEL_EQUAL_PLUS ...)
    18 Goal preprocess
     1 |  Subgoal 18 simp
  c  2 |  |  Subgoal 18' ELIM
       |  |  |  <2 subgoals>
       |  <17 more subgoals>
  ~ev[]
  Let us focus on the fourth line of this display:
  ~bv[]
  c  2 |  |  Subgoal 18' ELIM
  ~ev[]
  The ``c'' field marks this goal as a ``checkpoint'', i.e., a goal
  worthy of careful scrutiny.  In fact, any goal that creates children
  by a process other than ``preprocess'' or ``simp'' is marked as a
  checkpoint.  In this case, the destructor-elimination (``~il[ELIM]'')
  process has been used to create subgoals of this goal.  The
  indentation shows that this goal, Subgoal 18', is a child of Subgoal
  18.  The number ``2'' indicates that 2 subgoals have been created
  (by ~il[ELIM]).  Note that this information is consistent with the line
  just below it, which says ``<2 subgoals>''.

  Finally, the last line of this proof tree display,
  ~bv[]
       |  <17 more subgoals>
  ~ev[]
  is connected by vertical bars (``|'') up to the string
  ~c[\"Subgoal 18\"], which suggests that there are 17 immediate
  subgoals of Goal remaining to process after Subgoal 18.  Note that
  this line is indented one level from the second line, which is the
  line for the goal named ~c[\"Goal\"].  The display is intended to
  suggest that the subgoals of Goal that remain to be proved consist
  of Subgoal 18 together with 17 more subgoals.

  The next proof tree display differs from the previous one only in
  that now, Subgoal 18' has only one more subgoal to be processed.
  ~bv[]
  ( DEFUN CANCEL_EQUAL_PLUS ...)
    18 Goal preprocess
     1 |  Subgoal 18 simp
  c  2 |  |  Subgoal 18' ELIM
       |  |  |  <1 more subgoal>
       |  <17 more subgoals>
  ~ev[]
  Note that the word ``more'' in ``<1 more subgoal>'' tells us that
  there was originally more than one subgoal of Subgoal 18.  In fact
  that information already follows from the line above, which (as
  previously explained) says that Subgoal 18' originally created 2
  subgoals.

  The next proof tree display occurs when the prover completes the
  proof of that ``1 more subgoal'' referred to above.
  ~bv[]
  ( DEFUN CANCEL_EQUAL_PLUS ...)
    18 Goal preprocess
       |  <17 more subgoals>
  ~ev[]
  Then, Subgoal 17 is processed and creates one subgoal, by
  simplification:
  ~bv[]
  ( DEFUN CANCEL_EQUAL_PLUS ...)
    18 Goal preprocess
     1 |  Subgoal 17 simp
       |  |  <1 subgoal>
       |  <16 more subgoals>
  ~ev[]
  ... and so on.

  Later in the proof one might find the following successive proof
  tree displays.
  ~bv[]
  ( DEFUN CANCEL_EQUAL_PLUS ...)
    18 Goal preprocess
       |  <9 more subgoals>

  ( DEFUN CANCEL_EQUAL_PLUS ...)

    18 Goal preprocess
     0 |  Subgoal 9 simp (FORCED)
       |  <8 more subgoals>
  ~ev[]
  These displays tell us that Subgoal 9 simplified to ~c[t] (note that
  the ``0'' shows clearly that no subgoals were created), but that
  some rule's hypotheses were ~il[force]d.  Although this goal is not
  checkpointed (i.e., no ``c'' appears on the left margin), one can
  cause such goals to be checkpointed;
  ~pl[checkpoint-forced-goals].

  In fact, the proof tree displayed at the end of the ``main proof''
  (the 0-th forcing round) is as follows.
  ~bv[]
  ( DEFUN CANCEL_EQUAL_PLUS ...)
    18 Goal preprocess
     0 |  Subgoal 9 simp (FORCED)
     0 |  Subgoal 8 simp (FORCED)
     0 |  Subgoal 7 simp (FORCED)
     0 |  Subgoal 6 simp (FORCED)
     0 |  Subgoal 4 simp (FORCED)
     0 |  Subgoal 3 simp (FORCED)
  ~ev[]
  This is followed by the following proof tree display at the start
  of the forcing round.
  ~bv[]
    18 Goal preprocess
     0 |  Subgoal 9 simp (FORCED [1]Subgoal 4)
     0 |  Subgoal 8 simp (FORCED [1]Subgoal 6)
     0 |  Subgoal 7 simp (FORCED [1]Subgoal 1)
     0 |  Subgoal 6 simp (FORCED [1]Subgoal 3)
     0 |  Subgoal 4 simp (FORCED [1]Subgoal 5)
     0 |  Subgoal 3 simp (FORCED [1]Subgoal 2)
  ++++++++++++++++++++++++++++++
     6 [1]Goal FORCING-ROUND
     2 |  [1]Subgoal 6 preprocess
       |  |  <2 subgoals>
       |  <5 more subgoals>
  ~ev[]
  This display shows which goals to ``blame'' for the existence of
  each goal in the forcing round.  For example, Subgoal 9 is to blame
  for the creation of [1]Subgoal 4.

  Actually, there is no real goal named ~c[\"[1~]Goal\"].  However, the
  line
  ~bv[]
     6 [1]Goal FORCING-ROUND
  ~ev[]
  appears in the proof tree display to suggest a ``parent'' of the
  six top-level goals in that forcing round.  As usual, the numeric
  field before the goal name contains the original number of children
  of that (virtual, in this case) goal ~-[] in this case, 6.

  In our example proof, Subgoal 6 eventually gets proved, without
  doing any further forcing.  At that point, the proof tree display
  looks as follows.
  ~bv[]
  ( DEFUN CANCEL_EQUAL_PLUS ...)
    18 Goal preprocess
     0 |  Subgoal 9 simp (FORCED [1]Subgoal 4)
     0 |  Subgoal 7 simp (FORCED [1]Subgoal 1)
     0 |  Subgoal 6 simp (FORCED [1]Subgoal 3)
     0 |  Subgoal 4 simp (FORCED [1]Subgoal 5)
     0 |  Subgoal 3 simp (FORCED [1]Subgoal 2)
  ++++++++++++++++++++++++++++++
     6 [1]Goal FORCING-ROUND
       |  <5 more subgoals>
  ~ev[]
  Notice that the line for Subgoal 8,
  ~bv[]
     0 |  Subgoal 8 simp (FORCED [1]Subgoal 6)
  ~ev[]
  no longer appears.  That is because the goal [1]Subgoal 6 has been
  proved, along with all its children; and hence, the proof of Subgoal
  8 no longer depends on any further reasoning.

  The final two proof tree displays in our example are as follows.
  ~bv[]
  ( DEFUN CANCEL_EQUAL_PLUS ...)
    18 Goal preprocess
     0 |  Subgoal 7 simp (FORCED [1]Subgoal 1)
  ++++++++++++++++++++++++++++++
     6 [1]Goal FORCING-ROUND
     2 |  [1]Subgoal 1 preprocess
     1 |  |  [1]Subgoal 1.1 preprocess
     1 |  |  |  [1]Subgoal 1.1' simp
  c  3 |  |  |  |  [1]Subgoal 1.1'' ELIM
       |  |  |  |  |  <1 more subgoal>

  ( DEFUN CANCEL_EQUAL_PLUS ...)
  <<PROOF TREE IS EMPTY>>
  ~ev[]
  The explanation for the empty proof tree is simple:  once
  [1]Subgoal 1.1.1 was proved, nothing further remained to be proved.
  In fact, the much sought-after ``Q.E.D.'' appeared shortly after the
  final proof tree was displayed.

  Let us conclude with a final, brief example that illustrates proof
  by induction.  Partway through the proof one might come across the
  following proof tree display.
  ~bv[]
  ( DEFTHM PLUS-TREE-DEL ...)
     1 Goal preprocess
     2 |  Goal' simp
  c  0 |  |  Subgoal 2 PUSH *1
       |  |  <1 more subgoal>
  ~ev[]
  This display says that in the attempt to prove a theorem called
  ~c[plus-tree-del], preprocessing created the only child Goal' from Goal,
  and Goal' simplified to two subgoals.  Subgoal 2 is immediately
  pushed for proof by induction, under the name ``*1''.  In fact if
  Subgoal 1 simplifies to ~c[t], then we see the following successive
  proof tree displays after the one shown above.
  ~bv[]
  ( DEFTHM PLUS-TREE-DEL ...)
     1 Goal preprocess
     2 |  Goal' simp
  c  0 |  |  Subgoal 2 PUSH *1

  ( DEFTHM PLUS-TREE-DEL ...)
     1 Goal preprocess
     2 |  Goal' simp
  c  0 |  |  Subgoal 2 PUSH *1
  ++++++++++++++++++++++++++++++
  c  6 *1 INDUCT
       |  <5 more subgoals>
  ~ev[]
  The separator ``+++++...'' says that we are beginning another trip
  through the waterfall.  In fact this trip is for a proof by
  induction (as opposed to a forcing round), as indicated by the word
  ``INDUCT''.  Apparently *1.6 was proved immediately, because it was
  not even displayed; a goal is only displayed when there is some work
  left to do either on it or on some goal that it brought (perhaps
  indirectly) into existence.

  Once a proof by induction is completed, the ``PUSH'' line that
  refers to that proof is eliminated (``pruned'').  So for example,
  when the present proof by induction is completed, the line
  ~bv[]
  c  0 |  |  Subgoal 2 PUSH *1
  ~ev[]
  is eliminated, which in fact causes the lines above it to be
  eliminated (since they no longer refer to unproved children).
  Hence, at that point one might expect to see:
  ~bv[]
  ( DEFTHM PLUS-TREE-DEL ...)
  <<PROOF TREE IS EMPTY>>
  ~ev[]
  However, if the proof by induction of *1 necessitates further
  proofs by induction or a forcing round, then this ``pruning'' will
  not yet be done.")

(defun start-proof-tree-fn (remove-inhibit-p state)

; Note that we do not override existing values of the indicated state global
; variables.  See the comment in initialize-proof-tree.

  (pprogn
   (initialize-from-alist
    (proof-tree . nil)
    (proof-tree-indent . "|  ")
    (proof-tree-buffer-width . (fmt-soft-right-margin state))
    (checkpoint-forced-goals . nil)
    (checkpoint-processors .

; We have removed preprocess-clause and simplify-clause because they are
; clearly not checkpoint processors; settled-down-clause, because it shouldn't
; come up anyhow; and :forcing-round, which should not be included unless
; special provision is made for forcing rounds that do not start with this
; marker.  Note that :induct is not a real processor, but rather will be a
; marker pointing to the start of the inductive proof of a pushed goal (in
; particular, to the induction scheme).

                           '(eliminate-destructors-clause
                             fertilize-clause
                             generalize-clause
                             eliminate-irrelevance-clause
                             push-clause
                             :induct)))
   (if remove-inhibit-p
       (f-put-global 'inhibit-output-lst 
                     (remove1-eq 'proof-tree
                                 (f-get-global 'inhibit-output-lst state))
                     state)
     state)))

#+acl2-loop-only
(defmacro start-proof-tree ()

  ":Doc-Section Proof-tree

  start displaying proof trees during proofs~/

  Also ~pl[proof-tree] and ~pl[stop-proof-tree].  Note that
  ~c[:start-proof-tree] works by removing ~c[']~ilc[proof-tree] from the
  ~c[inhibit-output-lst]; ~pl[set-inhibit-output-lst].~/

  Proof tree displays are explained in the documentation for
  ~il[proof-tree].  ~c[:start-proof-tree] causes proof tree display to be
  turned on, once it has been turned off by ~c[:]~ilc[stop-proof-tree].

  Do not attempt to invoke ~c[start-proof-tree] during an interrupt in the
  middle of a proof."

  '(pprogn (start-proof-tree-fn t state)
           (fms "Proof tree output is now enabled.  Note that ~
                 :START-PROOF-TREE works by removing 'proof-tree from ~
                 the inhibit-output-lst; see :DOC ~
                 set-inhibit-output-lst.~%"
                nil
                (standard-co state)
                state
                nil)
           (value :invisible)))

#-acl2-loop-only
(defmacro start-proof-tree ()
  '(let ((state *the-live-state*))
     (fms "IT IS ILLEGAL to invoke (START-PROOF-TREE) from raw Lisp.  Please ~
           first enter the ACL2 command loop with (LP)."
          nil
          (proofs-co state)
          state
          nil)
     (values)))

(defmacro checkpoint-forced-goals (val)

  ":Doc-Section Proof-tree

  Cause forcing goals to be checkpointed in proof trees~/
  ~bv[]
  Example forms:
  (checkpoint-forced-goals t)
  (checkpoint-forced-goals nil)
  ~ev[]
  Also ~pl[proof-tree].~/

  By default, goals are not marked as checkpoints by a proof tree
  display (as described elsewhere; ~pl[proof-tree])
  merely because they ~il[force] some hypotheses, thus possibly
  contributing to a forcing round.  However, some users may want such
  behavior, which will occur once the command ~c[(checkpoint-forced-goals]
  ~c[t]) has been executed.  To return to the default behavior, use the
  command ~c[(checkpoint-forced-goals nil)]."

  `(pprogn (f-put-global 'checkpoint-forced-goals ',val state)
           (value ',val)))

(defun stop-proof-tree-fn (state)
  (f-put-global 'inhibit-output-lst 
                (add-to-set-eq 'proof-tree
                               (f-get-global 'inhibit-output-lst state))
                state))

(defmacro stop-proof-tree ()

  ":Doc-Section Proof-tree

  stop displaying proof trees during proofs~/

  Also ~pl[proof-tree] and ~pl[start-proof-tree].  Note that
  ~c[:stop-proof-tree] works by adding ~c[']~ilc[proof-tree] to the
  ~c[inhibit-output-lst]; ~pl[set-inhibit-output-lst].~/

  Proof tree displays are explained in the documentation for
  ~il[proof-tree].  ~c[:Stop-proof-tree] causes proof tree display to be
  turned off.

  It is permissible to submit the form ~c[(stop-proof-tree)] during a
  break.  Thus, you can actually turn off proof tree display in the
  middle of a proof by interrupting ACL2 and submitting the form
  ~c[(stop-proof-tree)] in raw Lisp."

  '(pprogn (stop-proof-tree-fn state)
           (fms "Proof tree output is now inhibited.  Note that ~
                 :STOP-PROOF-TREE works by adding 'proof-tree to the ~
                 inhibit-output-lst; see :DOC set-inhibit-output-lst.~%"
                nil
                (standard-co state)
                state
                nil)
           (value :invisible)))

(deflabel proof-tree-details
  :doc
  ":Doc-Section Proof-tree

  proof tree details not covered elsewhere~/

  ~l[proof-tree] for an introduction to proof trees, and for a
  list of related topics.  Here we present some details not covered
  elsewhere.~/

  1.  When proof tree display is enabled (because the command
  ~c[:]~ilc[stop-proof-tree] has not been executed, or has been superseded by a
  later ~c[:]~ilc[start-proof-tree] command), then time summaries will include
  the time for proof tree display.  This time includes the time spent
  computing with proof trees, such as the pruning process described
  briefly above.  Even when proof trees are not displayed, such as
  when their display is turned off in the middle of a proof, this time
  will be printed if it is not 0.

  2.  When a goal is given a ~c[:bye] in a proof (~pl[hints]), it is
  treated for the purpose of proof tree display just as though it had
  been proved.

  3.  Several ~il[state] global variables affect proof tree display.
  ~c[(@ proof-tree-indent)] is initially the string ~c[\"| \"]:  it is
  the string that is laid down the appropriate number of times to
  effect indentation.  ~c[(@ proof-tree-buffer-width)] is initially the
  value of ~c[(fmt-soft-right-margin state)], and is used to prevent
  printing of the annotation ``(~il[force]d ...)'' in any greater column
  than this value.  However, ~c[(assign proof-tree-buffer-width nil)]
  to avoid any such suppression.  Finally,
  ~c[(@ checkpoint-processors)] is a list of processors from the
  constant list ~c[*preprocess-clause-ledge*], together with
  ~c[:induct].  You may remove elements of ~c[(@ checkpoint-processors)]
  to limit which processes are considered checkpoints.

  4.  When ~c[:]~ilc[otf-flg] is not set to ~c[t] in a proof, and the prover then
  decides to revert to the original goal and prove it by induction,
  the proof tree display will reflect this fact as shown here:
  ~bv[]
  c  0 |  |  Subgoal 2 PUSH (reverting)
  ~ev[]
  5.  ~ilc[Proof-tree] display is turned off during calls of
  ~ilc[certify-book].

  6. The usual ~il[failure] message is printed as part of the prooftree
  display when a proof has failed.")

(mutual-recursion

(defun insert-into-goal-tree (cl-id processor n goal-tree)

; Updates the indicated goal-tree by adding a new goal tree build from cl-id,
; processor, and n, in place of the first integer "children" field of a subgoal
; in a left-to-right depth-first traversal of the goal-tree.  However, returns
; nil if it does not find such a place; similarly for
; insert-into-goal-tree-lst.

; Note that n should be nil or a (strictly) positive integer.  Also note that
; goal-tree doesn't matter (hence, it may be nil) when cl-id is
; *initial-clause-id*.

  (cond
   ((equal cl-id *initial-clause-id*)
    (make goal-tree
          :cl-id cl-id
          :processor processor
          :children n
          :fanout (or n 0)))
   (t
    (let ((new-children (insert-into-goal-tree-lst
                         cl-id processor n
                         (access goal-tree goal-tree :children))))
      (and new-children
           (change goal-tree goal-tree
                   :children new-children))))))

(defun insert-into-goal-tree-lst (cl-id processor n goal-tree-lst)
  (cond
   ((consp goal-tree-lst)
    (let ((new-child (insert-into-goal-tree
                      cl-id processor n (car goal-tree-lst))))
      (if new-child
          (cons new-child (cdr goal-tree-lst))
        (let ((rest-children (insert-into-goal-tree-lst
                              cl-id processor n (cdr goal-tree-lst))))
          (if rest-children
              (cons (car goal-tree-lst) rest-children)
            nil)))))
   ((integerp goal-tree-lst)
    (cons (make goal-tree
                :cl-id cl-id
                :processor processor
                :children n
                :fanout (or n 0))
          (if (= goal-tree-lst 1)
              nil
            (1- goal-tree-lst))))
   (t nil)))

)

(defun set-difference-equal-changedp (l1 l2)

; Like set-difference-equal, but returns (mv changedp lst) where lst is the set
; difference and changedp is t iff the set difference is not equal to l1.

  (declare (xargs :guard (and (true-listp l1)
                              (true-listp l2))))
  (cond ((endp l1) (mv nil nil))
        (t (mv-let (changedp lst)
                   (set-difference-equal-changedp (cdr l1) l2)
                   (cond
                    ((member-equal (car l1) l2)
                     (mv t lst))
                    (changedp (mv t (cons (car l1) lst)))
                    (t (mv nil l1)))))))

(mutual-recursion

(defun prune-goal-tree (forcing-round dead-clause-ids goal-tree)

; Removes all proved goals from a goal tree, where all dead-clause-ids are
; considered proved.  Actually returns two values:  a new goal tree (or nil),
; and a new (extended) list of dead-clause-ids.

; The handling of forced goals is kind of delicate.  For the current goal tree,
; all forced goals are considered unproved.  After that, we prune away all
; dead-clause-ids from the list of clause-ids to "blame", and if there's nobody
; left to blame, we consider the goal proved.  So, we enter this function with
; forcing-round set to nil for the current goal (the CAR of the proof-tree).  However,
; for other goals we set forcing-round to nil, and in that case no goal has any
; children -- all that matters is the forced goals.

; Goals with processor (push-clause id . x) are handled similarly to forced
; goals, except that we know that there is a unique child.

; Note that a non-nil final cdr prevents a goal from being considered proved
; (unless its clause-id is dead, which shouldn't happen), which is appropriate.

  (let* ((processor (access goal-tree goal-tree :processor))
         (cl-id (access goal-tree goal-tree :cl-id))
         (goal-forcing-round (access clause-id cl-id :forcing-round)))
    (cond ((member-equal cl-id dead-clause-ids)
           (mv (er hard 'prune-goal-tree
                   "Surprise!  We didn't think this case could occur.")
               dead-clause-ids))
          ((and (not (= forcing-round goal-forcing-round))

; So, current goal is from a previous forcing round.

                (consp processor)
                (eq (cadr processor) :forced))
           (mv-let
            (changedp forced-clause-ids) 
            (set-difference-equal-changedp (cddr processor) dead-clause-ids)
            (cond
             ((null forced-clause-ids)
              (mv nil (cons cl-id dead-clause-ids)))

; Notice that the current goal tree may have children, even though this goal is
; from an earlier forcing round, because it may have generated children that
; themselves did some forcing.

             (t
              (mv-let
               (children new-dead-clause-ids)
               (prune-goal-tree-lst
                forcing-round
                dead-clause-ids
                (access goal-tree goal-tree :children))
               (cond
                (changedp
                 (mv (change goal-tree goal-tree
                             :processor
                             (list* (car processor) :forced forced-clause-ids)
                             :children children)
                     new-dead-clause-ids))
                (t (mv (change goal-tree goal-tree
                               :children children)
                       new-dead-clause-ids))))))))
          ((and (consp processor)
                (eq (car processor) 'push-clause))
           (if (member-equal (cadr processor) dead-clause-ids)
               (mv nil (cons cl-id dead-clause-ids))
             (mv goal-tree dead-clause-ids)))
          (t
           (mv-let (children new-dead-clause-ids)
                   (prune-goal-tree-lst forcing-round
                                        dead-clause-ids
                                        (access goal-tree goal-tree :children))
                   (cond
                    ((or children

; Note that the following test implies that we're in the current forcing round,
; and hence "decoration" has not yet been done.

                         (and (consp processor)
                              (eq (cadr processor) :forced)))
                     (mv (change goal-tree goal-tree
                                 :children children)
                         new-dead-clause-ids))
                    (t (mv nil (cons cl-id new-dead-clause-ids)))))))))

;;;;**** Consider making prune-goal-tree-lst a sort of "no-change loser".
(defun prune-goal-tree-lst (forcing-round dead-clause-ids goal-tree-lst)
  (cond
   ((consp goal-tree-lst)
    (mv-let (x new-dead-clause-ids)
            (prune-goal-tree forcing-round dead-clause-ids (car goal-tree-lst))
            (if x
                (mv-let (rst newer-dead-clause-ids)
                        (prune-goal-tree-lst
                         forcing-round new-dead-clause-ids (cdr goal-tree-lst))
                        (mv (cons x rst)
                            newer-dead-clause-ids))
              (prune-goal-tree-lst
               forcing-round new-dead-clause-ids (cdr goal-tree-lst)))))
   (t (mv goal-tree-lst dead-clause-ids))))

)

(defun prune-proof-tree (forcing-round dead-clause-ids proof-tree)
  (if (null proof-tree)
      nil
    (mv-let (new-goal-tree new-dead-clause-ids)
            (prune-goal-tree forcing-round dead-clause-ids (car proof-tree))
            (if new-goal-tree
                (cons new-goal-tree
                      (prune-proof-tree forcing-round new-dead-clause-ids (cdr proof-tree)))
              (prune-proof-tree forcing-round
                                new-dead-clause-ids
                                (cdr proof-tree))))))

(defun print-string-repeat (increment level col channel state)
  (declare (type (signed-byte 29) col level))
  (the2s
   (signed-byte 29)
   (if (= level 0)
       (mv col state)
     (mv-letc (col state)
              (fmt1 "~s0"
                    (list (cons #\0 increment))
                    col channel state nil)
              (print-string-repeat increment (1-f level) col channel state)))))

(defconst *format-proc-alist*
  '((apply-top-hints-clause . "use/by/cases")
    (preprocess-clause . "preprocess")
    (simplify-clause . "simp")
    ;;settled-down-clause
    (eliminate-destructors-clause . "ELIM")
    (fertilize-clause . "FERT")
    (generalize-clause . "GEN")
    (eliminate-irrelevance-clause . "IRREL")
    ;;push-clause
    ))

(defun format-forced-subgoals (clause-ids col max-col channel state)
  (cond
   ((null clause-ids)
    (princ$ ")" channel state))
   (t (let ((goal-name (string-for-tilde-@-clause-id-phrase (car clause-ids))))
        (if (or (null max-col)

; We must leave room for final " ...)" if there are more goals, in addition to
; the space, the goal name, and the comma.  Otherwise, we need room for the
; space and the right paren.

                (if (null (cdr clause-ids))
                    (<= (+ 2 col (length goal-name)) max-col)
                  (<= (+ 7 col (length goal-name)) max-col)))
            (mv-let (col state)
                    (fmt1 " ~s0~#1~[~/,~]"
                          (list (cons #\0 goal-name)
                                (cons #\1 clause-ids))
                          col channel state nil)
                    (format-forced-subgoals
                     (cdr clause-ids) col max-col channel state))
          (princ$ " ...)" channel state))))))

(defun format-processor (col goal-tree channel state)
  (let ((proc (access goal-tree goal-tree :processor)))
    (cond
     ((consp proc)
      (cond
       ((eq (car proc) 'push-clause)
        (mv-let
         (col state)
         (fmt1 "~s0 ~@1"
               (list (cons #\0 "PUSH")
                     (cons #\1
                           (cond
                            ((eq (caddr proc) :REVERT)
                             "(reverting)")
                            ((eq (caddr proc) :ABORT)
                             "*ABORTING*")
                            (t
                             (tilde-@-pool-name-phrase
                              (access clause-id
                                      (cadr proc) 
                                      :forcing-round)
                              (access clause-id
                                      (cadr proc) 
                                      :pool-lst))))))
               col channel state nil)
         (declare (ignore col))
         state))
       ((eq (cadr proc) :forced)
        (mv-let (col state)
                (fmt1 "~s0 (FORCED"

; Note that (car proc) is in *format-proc-alist*, because neither push-clause
; nor either of the "fake" processors (:INDUCT, :FORCING-ROUND) forces in the
; creation of subgoals.

                      (list (cons #\0 (cdr (assoc-eq (car proc)
                                                     *format-proc-alist*))))
                      col channel state nil)
                (format-forced-subgoals
                 (cddr proc) col
                 (f-get-global 'proof-tree-buffer-width state)
                 channel state)))
       (t (let ((err (er hard 'format-processor
                         "Unexpected shape for goal-tree processor, ~x0"
                         proc)))
            (declare (ignore err))
            state))))
     (t (princ$ (or (cdr (assoc-eq proc *format-proc-alist*))
                    proc)
                channel state)))))

(mutual-recursion

(defun format-goal-tree-lst
  (goal-tree-lst level fanout increment checkpoints
                 checkpoint-forced-goals channel state)
  (cond
   ((null goal-tree-lst)
    state)
   ((atom goal-tree-lst)
    (mv-let (col state)
            (pprogn (princ$ "     " channel state)
                    (print-string-repeat
                     increment
                     (the-fixnum! level 'format-goal-tree-lst)
                     5 channel state))
            (mv-let (col state)
                    (fmt1 "<~x0 ~#1~[~/more ~]subgoal~#2~[~/s~]>~%"
                          (list (cons #\0 goal-tree-lst)
                                (cons #\1 (if (= fanout goal-tree-lst) 0 1))
                                (cons #\2 (if (eql goal-tree-lst 1)
                                              0
                                            1)))
                          col channel state nil)
                    (declare (ignore col))
                    state)))
   (t
    (pprogn
     (format-goal-tree
      (car goal-tree-lst) level increment checkpoints
      checkpoint-forced-goals channel state)
     (format-goal-tree-lst
      (cdr goal-tree-lst) level fanout increment checkpoints
      checkpoint-forced-goals channel state)))))

(defun format-goal-tree (goal-tree level increment checkpoints
                                   checkpoint-forced-goals channel state)
  (let* ((cl-id (access goal-tree goal-tree :cl-id))
         (pool-lst (access clause-id cl-id :pool-lst))
         (fanout (access goal-tree goal-tree :fanout))
         (raw-processor (access goal-tree goal-tree :processor))
         (processor (if (atom raw-processor)
                        raw-processor
                      (car raw-processor))))
    (mv-letc
     (col state)
     (pprogn (mv-letc
              (col state)
              (fmt1 "~#0~[c~/ ~]~c1 "
                    (list (cons #\0 (if (or (member-eq processor checkpoints)
                                            (and checkpoint-forced-goals
                                                 (consp raw-processor)
                                                 (eq (cadr raw-processor)
                                                     :forced)))
                                        0
                                      1))
                          (cons #\1 (cons fanout 3)))
                    0 channel state nil)
              (print-string-repeat increment
                                   (the-fixnum! level 'format-goal-tree)
                                   col channel state)))
     (mv-letc
      (col state)
      (if (and (null (access clause-id cl-id :case-lst))
               (= (access clause-id cl-id :primes) 0)
               pool-lst)
          (fmt1 "~@0 "
                (list (cons #\0 (tilde-@-pool-name-phrase
                                 (access clause-id cl-id :forcing-round)
                                 pool-lst)))
                col channel state nil)
        (fmt1 "~@0 "
              (list (cons #\0 (tilde-@-clause-id-phrase cl-id)))
              col channel state nil))
      (pprogn
       (format-processor col goal-tree channel state)
       (pprogn
        (newline channel state)
        (format-goal-tree-lst
         (access goal-tree goal-tree :children)
         (1+ level) fanout increment checkpoints checkpoint-forced-goals
         channel state)))))))

)

(defun format-proof-tree (proof-tree increment checkpoints
                                     checkpoint-forced-goals channel state)

; proof-tree is reversed here

  (if (null proof-tree)
      state
    (pprogn (format-goal-tree
             (car proof-tree) 0 increment checkpoints
             checkpoint-forced-goals channel state)
            (if (null (cdr proof-tree))
                state
              (mv-let (col state)
                      (fmt1 "++++++++++++++++++++++++++++++~%"
                            (list (cons #\0 increment))
                            0 channel state nil)
                      (declare (ignore col))
                      state))
            (format-proof-tree
             (cdr proof-tree) increment checkpoints
             checkpoint-forced-goals channel state))))

(defun print-proof-tree1 (ctx channel state)
  (let ((proof-tree (f-get-global 'proof-tree state)))
    (if (null proof-tree)
        (if (and (consp ctx) (eq (car ctx) :failed))
            state
          (princ$ "Q.E.D." channel state))
      (format-proof-tree (reverse proof-tree)
                         (f-get-global 'proof-tree-indent state)
                         (f-get-global 'checkpoint-processors state)
                         (f-get-global 'checkpoint-forced-goals state)
                         channel
                         state))))

(defconst *proof-failure-string*
  "******** FAILED ********  See :DOC failure  ******** FAILED ********~%")

(defun print-proof-tree-ctx (ctx channel state)
  (let* ((failed-p (and (consp ctx) (eq (car ctx) :failed)))
         (actual-ctx (if failed-p (cdr ctx) ctx)))
    (mv-let
     (erp val state)
     (state-global-let*
      ((fmt-hard-right-margin 1000)
       (fmt-soft-right-margin 1000))

; We need the event name to fit on a single line, hence the state-global-let*
; above.

      (mv-let (col state)
              (fmt-ctx actual-ctx 0 channel state)
              (mv-let (col state)
                      (fmt1 "~|~@0"
                            (list (cons #\0
                                        (if failed-p *proof-failure-string* "")))
                            col channel state nil)
                      (declare (ignore col))
                      (value nil))))
     (declare (ignore erp val))
     state)))

(defconst *proof-tree-start-delimiter* "#<\\<0")

(defconst *proof-tree-end-delimiter* "#>\\>")

(defun print-proof-tree (state)

; WARNING: Every call of print-proof-tree should be underneath some call of the
; form (io? ...).  We thus avoid enclosing the body below with (io? proof-tree
; ...).

  (let ((chan (proofs-co state))
        (ctx (f-get-global 'proof-tree-ctx state)))
    (pprogn
     (if (f-get-global 'window-interfacep state)
         state
       (mv-let (col state)
               (fmt1 "~s0"
                     (list (cons #\0 *proof-tree-start-delimiter*))
                     0 chan state nil)
               (declare (ignore col)) ;print-proof-tree-ctx starts with newline
               state))
     (print-proof-tree-ctx ctx chan state)
     (print-proof-tree1 ctx chan state)
     (if (f-get-global 'window-interfacep state)
         state
       (mv-let (col state)
               (fmt1! "~s0"
                      (list (cons #\0 *proof-tree-end-delimiter*))
                      0 chan state nil)
               (declare (ignore col))
               state)))))

; Logical Names

; Logical names are names introduced by the event macros listed in
; *primitive-event-macros*, e.g., they are the names of functions,
; macros, theorems, packages, etc.  Logical names have two main uses
; in this system.  The first is in theory expressions, where logical
; names are used to denote times in the past, i.e., "Give me the list
; of all rules enabled when nm was introduced."  The second is in the
; various keyword commands available to the user to enquire about his
; current state, i.e., "Show me the history around the time nmwas
; introduced."

; The latter use involves the much more sophisticated notion of
; commands as well as that of events.  We will deal with it later.

; We make special provisions to support the mapping from a logical
; name to the world at the time that name was introduced.  At the
; conclusion of the processing of an event, we set the 'global-value
; of 'event-landmark to an "event tuple."  This happens in stop-event.
; Among other things, an event tuple lists the names introduced by the
; event.  The successive settings of 'event-landmark are all visible
; on the world and thus effectively divide the world up into "event
; blocks."  Because the setting of 'event-landmark is the last thing
; we do for an event, the world at the termination of a given event is
; the world whose car is the appropriate event tuple.  So one way to
; find the world is scan down the current world, looking for the
; appropriate event landmark.

; This however is slow, because often the world is not in physical
; memory and must be paged in.  We therefore have worked out a scheme
; to support the faster lookup of names.  We could have stored the
; appropriate world on the property list of each symbolic name.  We
; did not want to do this because it might cause consternation when a
; user looked at the properties.  So we instead associate a unique
; nonnegative integer with each event and provide a mapping from those
; "absolute event numbers" to worlds.  We store the absolute event
; number of each symbolic name on the property list of the name (in
; stop-event).  The only other logical names are the strings that name
; packages.  We find them by searching through the world.

(defun logical-namep (name wrld)

; Returns non-nil if name is a logical name, i.e., a symbolic or
; string name introduced by an event, or the keyword :here meaning the
; most recent event.

  (cond ((symbolp name)
         (cond ((eq name :here) (not (null wrld)))
               (t (getprop name 'absolute-event-number nil
                           'current-acl2-world wrld))))
        ((and (stringp name)
              (find-non-hidden-package-entry
               name (global-val 'known-package-alist wrld)))
         t)
        (t nil)))

(defun logical-name-type (name wrld quietp)

; Given a logical-namep we determine what sort of logical object it is.

  (cond ((stringp name) 'package)
        ((function-symbolp name wrld) 'function)
        ((getprop name 'macro-body nil 'current-acl2-world wrld) 'macro)
        ((getprop name 'const nil 'current-acl2-world wrld) 'const)
        ((getprop name 'theorem nil 'current-acl2-world wrld) 'theorem)
        ((not (eq (getprop name 'theory t 'current-acl2-world wrld) t))
         'theory)
        ((getprop name 'label nil 'current-acl2-world wrld) 'label)
        ((getprop name 'stobj nil 'current-acl2-world wrld)

; Warning: Non-stobjs can have the stobj property, so do not move this cond
; clause upward!

         'stobj)
        ((getprop name 'stobj-live-var nil 'current-acl2-world wrld)
         'stobj-live-var)
        (quietp nil)
        (t (er hard 'logical-name-type
               "~x0 is evidently a logical name but of undetermined type."
               name))))

(defun logical-name-type-string (typ)
  (case typ
        (package "package")
        (function "function")
        (macro "macro")
        (const "constant")
        (stobj "single-threaded object")
        (stobj-live-var "single-threaded object holder")
        (theorem "theorem")
        (theory "theory")
        (label "label")
        (t (symbol-name typ))))

; Event Tuples

; Every time an event occurs we store a new 'global-value for the
; variable 'event-landmark in stop-event.  The value of
; 'event-landmark is an "event tuple."  Abstractly, an event tuple
; contains the following fields:

; n:     the absolute event number
; d:     the embedded event depth (the number of events containing the event)
; form:  the form evaluated that created the event.  (This is often a form
;        typed by the user but might have been a form generated by a macro.
;        The form may be a call of a primitive event macro, e.g., defthm, 
;        or may be itself a macro call, e.g., prove-lemma.)
; type:  the name of the primitive event macro we normally use, e.g., 
;        defthm, defuns, etc.
; namex: the name or names of the functions, rules, etc., introduced by
;        the event.  This may be a single object, e.g., 'APP, or "MY-PKG",
;        or may be a true list of objects, e.g., '(F1 F2 F3) as in the case
;        of a mutually recursive clique.  0 (zero) denotes the empty list of
;        names.  The unusual event enter-boot-strap-mode has a namex containing
;        both symbols and strings.
; symbol-class:
;        One of nil, :program, :ideal, or :compliant-common-lisp, indicating
;        the symbol-class of the namex.  (All names in the namex have the same
;        symbol-class.)

; All event tuples are constructed by make-event-tuple, below.  By searching
; for all calls of that function you will ascertain all possible event types
; and namex combinations.  You will find the main call in add-event-landmark,
; which is used to store an event landmark in the world.  There is another call
; in primordial-world-globals, where the bogus initial value of the
; 'event-landmark 'global-value is created with namex 0 and event type nil.
; Add-event-landmark is called in install-event, which is the standard (only)
; way to finish off an ACL2 event.  If you search for calls of install-event
; you will find the normal combinations of event types and namex.  There are
; two other calls of add-event-landmark.  One, in in primordial-world where it
; is called to create the enter-boot-strap-mode event type landmark with namex
; consisting of the primitive functions and known packages.  The other, in
; end-prehistoric-world, creates the exit-boot-strap-mode event type landmark
; with namex 0.

; As of this writing the complete list of type and namex pairs
; is shown below, but the algorithm described above will generate
; it for you if you wish to verify this.

;               type                namex
;           enter-boot-strap-mode    *see below
;           verify-guards            0 (no names introduced)
;           defun                    fn
;           defuns                   (fn1 ... fnk)
;           defaxiom                 name
;           defthm                   name
;           defconst                 name
;           defstobj                 (name the-live-var fn1 ... fnk)
;           defmacro                 name
;           defpkg                   "name"
;           deflabel                 name
;           deftheory                name
;           in-theory                0 (no name introduced)
;           in-arithmetic-theory     0 (no name introduced)
;           push-untouchable         0
;           remove-untouchable       0
;           reset-prehistory         0
;           set-body                 0 (no name introduced)
;           table                    0 (no name introduced)
;           encapsulate              (fn1 ... fnk) - constrained fns
;           include-book             "name"
;           exit-boot-strap-mode     0

; *Enter-boot-strap-mode introduces the names in *primitive-formals-
; and-guards* and *initial-known-package-alist*.  So its namex is a
; proper list containing both symbols and strings.

; To save space we do not actually represent each event tuple as a 6-tuple but
; have several different forms.  The design of our forms makes the following
; assumptions, aimed at minimizing the number of conses in average usage.  (1)
; Most events are not inside other events, i.e., d is often 0.  (2) Most events
; use the standard ACL2 event macros, e.g., defun and defthm rather than user
; macros, e.g., DEFN and PROVE-LEMMA.  (3) Most events are introduced with the
; :program symbol-class.  This last assumption is just the simple observation
; that until ACL2 is reclassified from :program to :logic, the ACL2
; system code will outweigh any application.

(defun signature-fns (signatures)

; Assuming that signatures has been approved by chk-signatures, we
; return a list of the functions signed.  Before we added signatures
; of the form ((fn * * STATE) => *) this was just strip-cars.
; Signatures is a list of elements, each of which is either of the
; form ((fn ...) => val) or of the form (fn ...).

  (cond ((endp signatures) nil)
        ((consp (car (car signatures)))
         (cons (car (car (car signatures)))
               (signature-fns (cdr signatures))))
        (t (cons (car (car signatures))
                 (signature-fns (cdr signatures))))))

(defun make-event-tuple (n d form ev-type namex symbol-class)

; Concretely, an event tuple is always a cons. Its car is either an integer,
; denoting n and an implicit d=0, or else is the pair (n . d).  Its cadr is
; either a symbol, denoting its type and signalling that the cdr is the form,
; the symbol-class is :program and that the namex can be recovered from the
; form, or else the cadr is the pair (ev-type namex . symbol-class) signalling
; that the form is the cddr.

; In what we expect is the normal case, where d is 0 and the form is one of our
; standard ACL2 event macros, this concrete representation costs one cons.  If
; d is 0 but the user has his own event macros, it costs 3 conses.

; Warning: If we change the convention that n is the car of a concrete event
; tuple if the car is an integer, then change the default value given getprop
; in max-absolute-event-number.

  (cons (if (= d 0) n (cons n d))
        (if (and (eq symbol-class :program)
                 (consp form)
                 (or (eq (car form) ev-type)
                     (and (eq ev-type 'defuns)
                          (eq (car form) 'mutual-recursion)))
                 (equal namex
                        (case (car form)
                              (defuns (strip-cars (cdr form)))
                              (mutual-recursion (strip-cadrs (cdr form)))
                              ((verify-guards in-theory
                                              in-arithmetic-theory
                                              push-untouchable
                                              remove-untouchable
                                              reset-prehistory
                                              set-body
                                              table)
                               0)
                              (encapsulate (signature-fns (cadr form)))
                              (otherwise (cadr form)))))
            form
          (cons (cons ev-type
                      (cons namex symbol-class))
                form))))

(defun access-event-tuple-depth (x)
  (if (integerp (car x)) 0 (cdar x)))

(defun access-event-tuple-type (x)
  (cond ((symbolp (cdr x)) ;eviscerated event
         nil)
        ((symbolp (cadr x))
         (if (eq (cadr x) 'mutual-recursion)
             'defuns
           (cadr x)))
        (t (caadr x))))

(defun access-event-tuple-namex (x)

; Note that namex might be 0, a single name, or a list of names.  Included in
; the last case is the possibility of the list being nil (as from an
; encapsulate event introducing no constrained functions).

  (cond
   ((symbolp (cdr x)) ;eviscerated event
    nil)
   ((symbolp (cadr x))
    (case (cadr x)
          (defuns (strip-cars (cddr x)))
          (mutual-recursion (strip-cadrs (cddr x)))
          ((verify-guards in-theory
                          in-arithmetic-theory
                          push-untouchable remove-untouchable reset-prehistory
                          set-body table)
           0)
          (encapsulate (signature-fns (caddr x)))
          (t (caddr x))))
   (t (cadadr x))))

(defun access-event-tuple-form (x)
  (if (symbolp (cadr x))
      (cdr x)
    (cddr x)))

(defun access-event-tuple-symbol-class (x)
  (if (symbolp (cadr x))
      :program
    (cddadr x)))

; Command Tuples

; When LD has executed a world-changing form, it stores a "command
; tuple" as the new 'global-value of 'command-landmark.  These
; landmarks divide the world up into "command blocks" and each command
; block contains one or or event blocks.  Command blocks are important
; when the user queries the system about his current state, wishes to
; undo, etc.  Commands are enumerated sequentially from 0 with
; "absolute command numbers."

; We define command tuples in a way analogous to event tuples, although
; commands are much simpler because their characteristics (except for the
; actual form typed in, the current default-defun-mode and the number) are
; inherited from the event tuples in the block.  We must store the current
; default-defun-mode so that we can offer to redo :program functions after
; ubt.  (A function is offered for redoing if its defun-mode is :program.  But
; the function is redone by executing the command that created it.  The command
; may recreate many functions and specify a :mode for each.  We must
; re-execute the command with the same default-defun-mode we did last to be sure
; that the functions it creates have the same defun-mode as last time.)

(defun make-command-tuple (n defun-mode form last-make-event-expansion)

; Defun-Mode is generally the default-defun-mode of the world in which this
; command is being executed.  But there are two possible exceptions.  See
; add-command-tuple.

; We assume that most commands are executed with defun-mode :program.  So we
; optimize our representation of command tuples accordingly.  No form that
; creates a function can have a keyword as its car.

; If form is an embedded event form, then last-make-event-expansion is nil
; unless form contains a call of make-event whose :check-expansion field is not
; a cons, in which case last-make-event-expansion is the result of removing all
; make-event calls from form.

  (list* n
         (if (eq defun-mode :program)
             form
           (cons defun-mode form))
         last-make-event-expansion))

(defun access-command-tuple-number (x)

; Warning: If we change the convention that the absolute command
; number is the car of the tuple, change the default value given
; getprop in max-absolute-command-number!

 (car x))

(defun access-command-tuple-defun-mode (x)
  (if (keywordp (caadr x))
      (caadr x)
    :program))

(defun access-command-tuple-form (x)
  (if (keywordp (caadr x)) (cdadr x) (cadr x)))

(defun access-command-tuple-last-make-event-expansion (x)
  (cddr x))

(defun access-event-tuple-number (x)

; Warning: If we change the convention that n is (car x) when (car x)
; is an integerp, then change the default value given getprop in
; max-absolute-event-number.

  (if (integerp (car x)) (car x) (caar x)))

; Absolute Event and Command Numbers

(defun max-absolute-event-number (wrld)

; This is the maximum absolute event number in use at the moment.  It
; is just the number found in the most recently completed event
; landmark.  We initialize the event-landmark with number -1 (see
; primordial-world-globals) so that next-absolute-event-number returns
; 0 the first time.

  (access-event-tuple-number (global-val 'event-landmark wrld)))

(defun next-absolute-event-number (wrld)
  (1+ (max-absolute-event-number wrld)))

(defun max-absolute-command-number (wrld)

; This is the largest absolute command number in use in wrld.  We
; initialize it to -1 (see primordial-world-globals) so that
; next-absolute-command-number works.

  (access-command-tuple-number (global-val 'command-landmark wrld)))

(defun next-absolute-command-number (wrld)
  (1+ (max-absolute-command-number wrld)))

; Scanning to find Landmarks

(defun scan-to-event (wrld)

; We roll back wrld to the first (list order traversal) event landmark
; on it.

  (cond ((null wrld) wrld)
        ((and (eq (caar wrld) 'event-landmark)
              (eq (cadar wrld) 'global-value))
         wrld)
        (t (scan-to-event (cdr wrld)))))

(defun scan-to-command (wrld)

; Scan to the next binding of 'command-landmark.

  (cond ((null wrld) nil)
        ((and (eq (caar wrld) 'command-landmark)
              (eq (cadar wrld) 'global-value))
         wrld)
        (t (scan-to-command (cdr wrld)))))

(defun scan-to-landmark-number (flg n wrld)

; We scan down wrld looking for a binding of 'event-landmark with n as
; its number or 'command-landmark with n as its number, depending on
; whether flg is 'event-landmark or 'command-landmark.

  #+acl2-metering
  (setq meter-maid-cnt (1+ meter-maid-cnt))
  (cond ((null wrld)
         (er hard 'scan-to-landmark-number
             "We have scanned the world looking for absolute ~
              ~#0~[event~/command~] number ~x1 and failed to find it. ~
               There are two likely errors.  Either ~#0~[an event~/a ~
              command~] with that number was never stored or the ~
              index has somehow given us a tail in the past rather ~
              than the future of the target world."
             (if (equal flg 'event-landmark) 0 1)
             n))
        ((and (eq (caar wrld) flg)
              (eq (cadar wrld) 'global-value)
              (= n (if (eq flg 'event-landmark)
                       (access-event-tuple-number (cddar wrld))
                       (access-command-tuple-number (cddar wrld)))))
         #+acl2-metering
         (meter-maid 'scan-to-landmark-number 500 flg n)
         wrld)
        (t (scan-to-landmark-number flg n (cdr wrld)))))

; The Event and Command Indices

; How do we convert an absolute event number into the world created by
; that event?  The direct way to do this is to search the world for
; the appropriate binding of 'event-landmark.  To avoid much of this
; search, we keep a map from some absolute event numbers to the
; corresponding tails of world.

; Rather than store an entry for each event number we will store one
; for every 10th.  Actually, *event-index-interval* determines the
; frequency.  This is a completely arbitrary decision.  A typical :ppe
; or :ubt will request a tail within 5 event of a saved one, on the
; average.  At 8 properties per event (the bootstrap right now is
; running 7.4 properties per event), that's about 40 tuples, each of
; the form (name prop . val).  We will always look at name and
; sometimes (1/8 of the time) look at prop and the car of val, which
; says we'll need to swap in about 40+40+1/8(40 + 40) = 90 conses.  We
; have no idea how much this costs (and without arguments about
; locality, it might be as bad as 90 pages!), but it seems little
; enough.  In any case, this analysis suggests that the decision to
; save every nth world will lead to swapping in only 9n conses.

; Assuming that a big proof development costs 3000 events (that's
; about the size of the Piton proof) and that the initial bootstrap is
; about 2000 (right now it is around 1700), we imagine that we will be
; dealing with 5000 events.  So our map from event numbers to
; tails of world will contain about 500 entries.  Of interest here is
; the choice of representation for that map.

; The requirement is that it be a map from the consecutive positive
; integers to tails of world (or nil for integers not yet claimed).
; It should operate comfortably with 500 entries.  It will be the
; value of the world global, 'event-index, and every time we add a
; new entry (i.e., every 10 events), we will rebind that global.
; Thus, by the time the table has 500 entries we will also be holding
; onto the 499 old versions of the table as well.

; Three representations came immediately to mind: a linear array, an
; association list, and a balanced binary tree.  A fourth was invented
; to solve the problem.  We discuss all four here.

; Linear Array.  If the event-index is an array then it will be
; extremely efficient to "search".  We will have to grow the array as
; we go, as we do in load-theory-into-enabled-structure.  So by the
; time the array has 500 entries the underlying Common Lisp array will
; probably contain around 750 words.  The alist version of the array
; will be of length 500 (ignoring the :HEADER) and consume 1000
; conses.  So in all we'll have about 1750 words tied up in this
; structure.  Old versions of the table will share the alist
; representation and cost little.  However, we imagine keeping only
; one Common Lisp array object and it will always hold the compressed
; version of the latest index.  So old versions of the index will be
; "out of date" and will have to be recompressed upon recovery from a
; :ubt, as done by recompress-global-enabled-structure.  This
; complicates the array representation and we have decided to dismiss
; it.

; Alist.  If the event-index is an alist it will typically be 500
; long and contain 1000 conses which are all perfectly shared with old
; copies.  Adding new entries is very fast, i.e., 2 conses.  Lookup is
; relatively slow: .004 seconds, average with an alist of size 500.
; For comparison purposes, we imagine the following scenario: The user
; starts with a world containing 2000 bootstrap events.  He adds
; another 3000 events of his own.  Every event, however, provokes
; him to do 10 :ppes to look at old definitions.  (We are purposefully
; biasing the scenario toward fast lookup times.)  Given the
; convention of saving every 10th tail of world in the index, the
; scenario becomes: The user starts with a index containing 200
; entries.  He grows it to 500 entries.  However, between each growth
; step he inspects 100 entries spread more or less evenly throughout
; the interval.  If the index is represented by an alist, how long
; does this scenario take?  Answer: 77 seconds (running AKCL on a Sun
; 360 with 20Mb).

; Balanced Binary Tree.  We have done an extensive study of the use of
; balanced binary trees (bbts) for this application.  Using bbts, the
; scenario above requires only 13 seconds.  However, bbts use a lot
; more space.  In particular, the bbt for 500 entries consumes 2000
; conses (compared to the alist's 1000 conses).  Worse, the bbt for
; 500 shares little of the structure for 499, while the alist shares
; it all.  (We did our best with structure sharing between successive
; bbts, it's just that rebalancing the tree after an addition
; frequently destroys the possibility for sharing.  Of the 2000 conses
; in the 500 entry bbt, 1028 are new and the rest are shared with the
; 499 bbt.)  In particular, to keep all 500 of the bbts will cost us
; 156,000 conses.  By contrast, the entire world after a bootstrap
; currently costs about 418,000 conses.

; So we need a representation that shares structure and yet is
; efficiently accessed.  Why are alists so slow?  Because we have to
; stop at every entry and ask "is this the one?"  But that is silly
; because we know that if we're looking for 2453 and we see 3000 then
; we have to skip down 547.  That is, our values are all associated
; with consecutive integer indices and the alist is ordered.  But we
; could just use a positional indexing scheme.

; Zap Table.  A zap table is a linear list of values indexed by
; 0-based positions STARTING FROM THE RIGHT.  To enable us to count
; from the right we include, as the first element in the list, the
; maximum index.  For example, the zap table that maps each of the
; integers from 0 to 9 to itself is: (9 9 8 7 6 5 4 3 2 1 0).  To add
; a new (10th) value to the table, we increment the car by 1 and cons
; the new value to the cdr.  Thus, we spend two conses per entry and
; share all other structure.  To fetch the ith entry we compute how
; far down the list it is with arithmetic and then retrieve it with
; nth.  To our great delight this scheme carries out our scenario in
; 13 seconds, as fast as balanced binary trees, but shares as much
; structure as alists.  This is the method we use.

(defun add-to-zap-table (val zt)

; Given a zap table, zt, that associates values to the indices
; 0 to n, we extend the table to associate val to n+1.

  (cond ((null zt) (list 0 val))
        (t (cons (1+ (car zt)) (cons val (cdr zt))))))

(defun fetch-from-zap-table (n zt)

; Retrieve the value associated with n in the zap table zt, or
; nil if there is no such association.

  (cond ((null zt) nil)
        ((> n (car zt)) nil)
        (t (nth (- (car zt) n) (cdr zt)))))

; These 7 lines of code took 3 days to write -- because we first
; implemented balanced binary trees and did the experiments described
; above.

; Using zap tables we'll keep an index mapping absolute event numbers
; to tails of world.  We'll also keep such an index for commands typed
; by the user at the top-level of the ld loop.  The following two
; constants determine how often we save events and commands in their
; respective indices.

(defconst *event-index-interval* 10)
(defconst *command-index-interval* 10)

(defun update-world-index (flg wrld)

; Flg is either 'COMMAND or 'EVENT and indicates which of the two
; indices we are to update.

; In the comments below, we assume flg is 'EVENT.

; This function is called every time we successfully complete the
; processing of an event.  We here decide if it is appropriate
; to save a pointer to the resulting world, wrld.  If so, we update
; the event-index.  If not, we do nothing.  Our current algorithm
; is to save every *event-index-interval*th world.  That is, if
; *event-index-interval* is 10 then we save the worlds whose
; max-absolute-event-numbers are 0, 10, 20, etc., into slots 0, 1, 2,
; etc. of the index.

  (cond
   ((eq flg 'EVENT)
    (let ((n (max-absolute-event-number wrld)))
      (cond ((= (mod n *event-index-interval*) 0)
             (let ((event-index (global-val 'event-index wrld)))

; Things will get very confused if we ever miss a multiple of "10."
; For example, if some bug in the system causes us never to call this
; function on a world with absolute-event-number 10, say, then the
; next multiple we do call it on, e.g., 20, will be stored in the
; slot for 10 and things will be royally screwed.  So just to be
; rugged we will confirm the correspondence between what we think
; we're adding and where it will go.

               (cond ((= (floor n *event-index-interval*)
                         (if (null event-index)
                             0
                             (1+ (car event-index))))
                      (global-set 'event-index
                                  (add-to-zap-table wrld event-index)
                                  wrld))
                     (t (er hard 'update-world-index
                            "The event-index and the maximum absolute ~
                             event number have gotten out of sync!  ~
                             In particular, the next available index ~
                             is ~x0 but the world has event number ~
                             ~x1, which requires index ~x2."
                            (if (null event-index)
                                0
                                (1+ (car event-index)))
                            n
                            (floor n *event-index-interval*))))))
            (t wrld))))
   (t
    (let ((n (max-absolute-command-number wrld)))
      (cond ((= (mod n *command-index-interval*) 0)
             (let ((command-index (global-val 'command-index wrld)))
               (cond ((= (floor n *command-index-interval*)
                         (if (null command-index)
                             0
                             (1+ (car command-index))))
                      (global-set 'command-index
                                  (add-to-zap-table wrld command-index)
                                  wrld))
                     (t (er hard 'update-world-index
                            "The command-index and the maximum ~
                             absolute command number have gotten out ~
                             of sync!  In particular, the next ~
                             available index is ~x0 but the world has ~
                             command number ~x1, which requires index ~
                             ~x2."
                            (if (null command-index)
                                0
                                (1+ (car command-index)))
                            n
                            (floor n *command-index-interval*))))))
            (t wrld))))))

(defun lookup-world-index1 (n interval index wrld)

; Let index be a zap table that maps the integers 0 to k to worlds.
; Instead of numbering those worlds 0, 1, 2, ..., number them 0,
; 1*interval, 2*interval, etc.  So for example, if interval is 10 then
; the worlds are effectively numbered 0, 10, 20, ...  Now n is some
; world number (but not necessarily a multiple of interval).  We wish
; to find the nearest world in the index that is in the future of the
; world numbered by n.  

; For example, if n is 2543 and interval is 10, then we will look for
; world 2550, which will be found in the table at 255.  Of course, the
; table might not contain an entry for 255 yet, in which case we return
; wrld.

  (let ((i (floor (+ n (1- interval))
                  interval)))
    (cond ((or (null index)
               (> i (car index)))
           wrld)
          (t (fetch-from-zap-table i index)))))

(defun lookup-world-index (flg n wrld)

; This is the general-purpose function that takes an arbitrary
; absolute command or event number (flg is 'COMMAND or 'EVENT) and
; returns the world that starts with the indicated number.

  (cond ((eq flg 'event)
         (let ((n (min (max-absolute-event-number wrld)
                       (max n 0))))
           (scan-to-landmark-number 'event-landmark
                                    n
                                    (lookup-world-index1
                                     n
                                     *event-index-interval*
                                     (global-val 'event-index wrld)
                                     wrld))))
        (t
         (let ((n (min (max-absolute-command-number wrld)
                       (max n 0))))
           (scan-to-landmark-number 'command-landmark
                                    n
                                    (lookup-world-index1
                                     n
                                     *command-index-interval*
                                     (global-val 'command-index wrld)
                                     wrld))))))

; Maintaining the Invariants Associated with Logical Names and Events

(defun store-absolute-event-number (namex n wrld)

; Associated with each symbolic logical name is the
; 'absolute-event-number.  This function is responsible for storing
; that property.  Namex is either 0, denoting the empty set, an atom,
; denoting the singleton set containing that atom, or a true-list of
; atoms denoting the corresponding set.

  (cond ((equal namex 0)
         wrld)
        ((atom namex)

; If namex is "MY-PKG" we act as though it were the empty list.

         (cond ((symbolp namex)
                (putprop namex 'absolute-event-number n wrld))
               (t wrld)))
        (t (store-absolute-event-number
            (or (cdr namex) 0)
            n
            (if (stringp (car namex))
                wrld
                (putprop (car namex) 'absolute-event-number n wrld))))))

(defun the-namex-symbol-class1 (lst wrld symbol-class1)
  (cond ((null lst) symbol-class1)
        ((stringp (car lst))
         (the-namex-symbol-class1 (cdr lst) wrld symbol-class1))
        (t (let ((symbol-class2 (symbol-class (car lst) wrld)))
             (cond ((eq symbol-class1 nil)
                    (the-namex-symbol-class1 (cdr lst) wrld symbol-class2))
                   ((eq symbol-class2 nil)
                    (the-namex-symbol-class1 (cdr lst) wrld symbol-class1))
                   ((eq symbol-class1 symbol-class2)
                    (the-namex-symbol-class1 (cdr lst) wrld symbol-class1))
                   (t (er hard 'the-namex-symbol-class
                          "The symbolp elements of the namex argument ~
                           to add-event-landmark are all supposed to ~
                           have the same symbol-class, but the first ~
                           one we found with a symbol-class had class ~
                           ~x0 and now we've found another with ~
                           symbol-class ~x1.  The list of elements, ~
                           starting with the one that has ~
                           symbol-class ~x0 is ~x2."
                          symbol-class2 symbol-class1 lst)))))))

(defun the-namex-symbol-class (namex wrld)
  (cond ((equal namex 0) nil)
        ((atom namex)
         (cond ((symbolp namex)
                (symbol-class namex wrld))
               (t nil)))
        (t (the-namex-symbol-class1 namex wrld nil))))

(defun add-event-landmark (form ev-type namex wrld)

; We use a let* below and a succession of worlds just to make clear
; the order in which we store the various properties.  We update the
; world index before putting the current landmark on it.  This
; effectively adds the previous landmark to the index if it was a
; multiple of our interval.  We do this just so that the
; event-landmark we are about to lay down is truly the last thing we
; do.  Reflection on this issue leads to the conclusion that it is not
; really important whether the index entry is inside or outside of the
; landmark, in the case of event-landmarks.

  (let* ((n (next-absolute-event-number wrld))
         (wrld1 (store-absolute-event-number namex n wrld))
         (wrld2 (update-world-index 'event wrld1))
         (wrld3 
           (global-set 'event-landmark
                       (make-event-tuple n
                                         (length (global-val
                                                  'embedded-event-lst
                                                  wrld))
                                         form
                                         ev-type
                                         namex
                                         (the-namex-symbol-class namex wrld2))
                       wrld2)))
    wrld3))

; Decoding Logical Names

(defun scan-to-defpkg (name wrld)

; We wish to give meaning to stringp logical names such as "MY-PKG".  We do it
; in an inefficient way: we scan the whole world looking for an event tuple of
; type DEFPKG and namex name.  We know that name is a known package and that it
; is not one in *initial-known-package-alist*.

  (cond ((null wrld) nil)
        ((and (eq (caar wrld) 'event-landmark)
              (eq (cadar wrld) 'global-value)
              (eq (access-event-tuple-type (cddar wrld)) 'DEFPKG)
              (equal name (access-event-tuple-namex (cddar wrld))))
         wrld)
        (t (scan-to-defpkg name (cdr wrld)))))

(defun scan-to-include-book (full-book-name wrld)

; We wish to give meaning to stringp logical names such as "arith".  We
; do it in an inefficient way: we scan the whole world looking for an event
; tuple of type INCLUDE-BOOK and namex full-book-name.

  (cond ((null wrld) nil)
        ((and (eq (caar wrld) 'event-landmark)
              (eq (cadar wrld) 'global-value)
              (eq (access-event-tuple-type (cddar wrld)) 'include-book)
              (equal full-book-name (access-event-tuple-namex (cddar wrld))))
         wrld)
        (t (scan-to-include-book full-book-name (cdr wrld)))))

(defun assoc-equal-cadr (x alist)
  (cond ((null alist) nil)
        ((equal x (cadr (car alist))) (car alist))
        (t (assoc-equal-cadr x (cdr alist)))))

(defun multiple-assoc-terminal-substringp1 (x i alist)
  (cond ((null alist) nil)
        ((terminal-substringp x (caar alist) i (1- (length (caar alist))))
         (cons (car alist) (multiple-assoc-terminal-substringp1 x i (cdr alist))))
        (t (multiple-assoc-terminal-substringp1 x i (cdr alist)))))

(defun multiple-assoc-terminal-substringp (x alist)

; X and the keys of the alist are presumed to be strings.  This function
; compares x to the successive keys in the alist, succeeding on any key that
; contains x as a terminal substring.  Unlike assoc, we return the list of all
; pairs in the alist with matching keys.

  (multiple-assoc-terminal-substringp1 x (1- (length x)) alist))

(defun possibly-add-lisp-extension (str)

; String is a string.  If str ends in .lisp, return it.  Otherwise, tack .lisp
; onto the end and return that.

  (let ((len (length str)))
    (cond
     ((and (> len 5)
           (eql (char str (- len 5)) #\.)
           (eql (char str (- len 4)) #\l)
           (eql (char str (- len 3)) #\i)
           (eql (char str (- len 2)) #\s)
           (eql (char str (- len 1)) #\p))
      str)
     (t (string-append str ".lisp")))))

(defun decode-logical-name (name wrld)

; Given a logical name, i.e., a symbol with an 'absolute-event-number property
; or a string naming a defpkg or include-book, we return the tail of wrld
; starting with the introductory event.  We return nil if name is illegal.

  (cond
   ((symbolp name)
    (cond ((eq name :here)
           (scan-to-event wrld))
          (t
           (let ((n (getprop name 'absolute-event-number nil
                             'current-acl2-world wrld)))
             (cond ((null n) nil)
                   (t (lookup-world-index 'event n wrld)))))))
   ((stringp name)

; Name may be a package name or a book name.

    (cond
     ((find-non-hidden-package-entry name
                                     (global-val 'known-package-alist wrld))
      (cond ((find-package-entry name *initial-known-package-alist*)

; These names are not DEFPKGd and so won't be found in a scan.  They
; are introduced by absolute event number 0.

             (lookup-world-index 'event 0 wrld))
            (t (scan-to-defpkg name wrld))))
     (t (let ((hits (multiple-assoc-terminal-substringp
                     (possibly-add-lisp-extension name)
                     (global-val 'include-book-alist wrld))))

; Hits is a subset of the include-book-alist.  The form of each
; element is (full-book-name user-book-name familiar-name
; cert-annotations . ev-lst-chk-sum).

          (cond
           ((and hits (null (cdr hits)))
            (scan-to-include-book (car (car hits)) wrld))
           (t nil))))))
   (t nil)))

(defun er-decode-logical-name (name wrld ctx state)

; Like decode-logical-name but causes an error rather than returning nil.

  (let ((wrld1 (decode-logical-name name wrld)))
    (cond
     ((null wrld1)
      (let ((hits (and (stringp name)
                       (not (find-non-hidden-package-entry
                             name
                             (global-val 'known-package-alist wrld)))
                       (multiple-assoc-terminal-substringp
                        (possibly-add-lisp-extension name)
                        (global-val 'include-book-alist wrld)))))

; Hits is a subset of the include-book-alist.  The form of each
; element is (full-book-name user-book-name familiar-name
; cert-annotations . ev-lst-chk-sum).

        (cond
         ((and hits (cdr hits))
          (er soft ctx
              "More than one book matches the name ~x0, in particular ~&1.  We ~
               therefore consider ~x0 not to be a logical name and insist ~
               that you use an unambiguous form of it.  See :DOC logical-name."
              name
              (strip-cars hits)))
         (t (er soft ctx
                "The object ~x0 is not a logical name.  See :DOC logical-name."
                name)))))
     (t (value wrld1)))))

(defun renew-lemmas (fn lemmas)

; We copy lemmas, which is a list of rewrite rules, deleting those whose
; runes have fn as their base symbol.  These are, we believe, all and only
; the rules stored by the event which introduced fn.

  (cond ((null lemmas) nil)
        ((eq (base-symbol (access rewrite-rule (car lemmas) :rune)) fn)
         (renew-lemmas fn (cdr lemmas)))
        (t (cons (car lemmas) (renew-lemmas fn (cdr lemmas))))))

(defun renew-name/erase (name old-getprops wrld)

; Name is a symbol, old-getprops is the list returned by getprops on name,
; i.e., an alist dotting properties to values.  We map over that list and
; "unbind" every property of name in wrld.  We do not touch 'GLOBAL-VALUE
; because that is not a property affected by an event (consider what would
; happen if the user defined and then redefined COMMAND-LANDMARK).  Similarly,
; we do not touch 'table-alist or 'table-guard.  See the list of properties
; specially excepted by new-namep.

  (cond
   ((null old-getprops) wrld)
   (t (renew-name/erase
       name
       (cdr old-getprops)
       (if (member-eq (caar old-getprops)
                      '(global-value table-alist table-guard))
           wrld
           (putprop name
                    (caar old-getprops)
                    *acl2-property-unbound*
                    wrld))))))

;; RAG - Hmmm, this code assumes it knows all of the properties stored
;; on a function symbol.  Sad.  I added 'CLASSICALP to the list.

(defun renew-name/overwrite (name old-getprops wrld)

; Name is a function symbol, old-getprops is the list returned by getprops
; on name, i.e., an alist dotting properties to values.  We map over that
; list and "unbind" those properties of name in wrld that were stored by
; the event introducing name.

; Note: Even when the ld-redefinition-action specifies :overwrite we
; sometimes change it to :erase (see maybe-coerce-overwrite-to-erase).
; Thus, this function is actually only called on function symbols, not
; constants or stobjs or stobj-live-vars.  The erase version, above,
; is called on those redefinable non-functions.

  (cond
   ((null old-getprops) wrld)
   ((eq (caar old-getprops) 'redefined)
    (renew-name/overwrite
     name
     (cdr old-getprops)
     wrld))
   ((member-eq (caar old-getprops)
               '(FORMALS
                 STOBJS-IN
                 STOBJS-OUT
                 SYMBOL-CLASS
                 NON-EXECUTABLEP
                 LEVEL-NO
                 QUICK-BLOCK-INFO
                 PRIMITIVE-RECURSIVE-DEFUNP
                 CONSTRAINEDP
                 #+:non-standard-analysis CLASSICALP
                 DEF-BODIES
                 NTH-UPDATE-REWRITER-TARGETP
                 INDUCTION-MACHINE
                 JUSTIFICATION
                 UNNORMALIZED-BODY
                 CONTROLLER-ALIST
                 CONSTRAINT-LST
                 RECURSIVEP
                 TYPE-PRESCRIPTIONS
                 GUARD
                 ABSOLUTE-EVENT-NUMBER

; Note: If you delete RUNIC-MAPPING-PAIRS from this list you must reconsider
; functions like current-theory-fn which assume that if a name has the
; REDEFINED property then its runic-mapping-pairs has been set to
; *acl2-property-unbound*.

                 RUNIC-MAPPING-PAIRS

; This property is stored by defstobj on all supporting functions.

                 STOBJ-FUNCTION))

; The properties above are stored by the defun, constrain or defstobj
; that introduced name and we erase them.

    (renew-name/overwrite
     name
     (cdr old-getprops)
     (putprop name
              (caar old-getprops)
              *acl2-property-unbound*
              wrld)))
   ((eq (caar old-getprops) 'lemmas)

; We erase from the lemmas property just those rules stored by the introductory event.

    (renew-name/overwrite
     name
     (cdr old-getprops)
     (putprop name
              'lemmas
              (renew-lemmas name
                            (getprop name 'lemmas nil 'current-acl2-world wrld))
              wrld)))
   ((member-eq (caar old-getprops)

; As of this writing, the property in question must be one of the following:

               '(GLOBAL-VALUE
                 LABEL
                 LINEAR-LEMMAS
                 FORWARD-CHAINING-RULES
                 ELIMINATE-DESTRUCTORS-RULE
                 COARSENINGS
                 CONGRUENCES
                 INDUCTION-RULES
                 THEOREM
                 DEFCHOOSE-AXIOM
                 UNTRANSLATED-THEOREM
                 CLASSES
                 CONST
                 THEORY
                 TABLE-GUARD
                 TABLE-ALIST
                 MACRO-BODY
                 MACRO-ARGS))

; and these are not created by the introductory event of name (which must have
; been a defun or constrain) and hence are left untouched here.

    (renew-name/overwrite
     name
     (cdr old-getprops)
     wrld))
   (t
    (illegal 'renew-name/overwrite
             "We thought we knew all the properties stored by events ~
              introducing redefinable function names, but we don't know about ~
              the property ~x0."
             (list (cons #\0 (caar old-getprops)))))))

(defun renew-name (name renewal-mode wrld)

; We make it sort of appear as though name is sort of new in wrld.  Ah, to be
; young again...  We possibly erase all properties of name (depending on the
; renewal-mode, which must be :erase, :overwrite or :reclassifying-overwrite),
; and we put a 'redefined property on name.  Note that we always put the
; 'redefined property, even if name already has that property with that value,
; because one of our interests in this property is in stop-event, which uses it
; to identify which names have been redefined in this event.

; The value of the 'redefined property is (renewal-mode . old-sig),
; where old-sig is either the internal form signature of name if name
; is function and is otherwise nil.

; By storing the renewal-mode we make it possible to recover exactly how the
; final world was obtained from the initial one.  For purposes of renewal, we
; treat renewal-mode :reclassifying-overwrite as :overwrite; the only
; difference is that we store the :reclassifying-overwrite in the 'redefined
; property.  The only time :reclassifying-overwrite is the renewal-mode is when
; a :program function is being reclassified to an identical-defp :logic
; function.

  (putprop name 'redefined
           (cons renewal-mode
                 (cond ((and (symbolp name)
                             (function-symbolp name wrld))
                        (list name
                              (formals name wrld)
                              (stobjs-in name wrld)
                              (stobjs-out name wrld)))
                       (t nil)))
           (cond
            ((eq renewal-mode :erase)
             (renew-name/erase name
                               (getprops name 'current-acl2-world wrld)
                               wrld))
            ((or (eq renewal-mode :overwrite)
                 (eq renewal-mode :reclassifying-overwrite))
             (renew-name/overwrite name
                                   (getprops name 'current-acl2-world wrld)
                                   wrld))
            (t wrld))))

(defun renew-names (names renewal-mode wrld)
  (cond ((endp names) wrld)
        (t (renew-names (cdr names)
                        renewal-mode
                        (renew-name (car names) renewal-mode wrld)))))

(defun collect-redefined-alist (wrld ans)

; We return an alist that pairs names with their 'redefined
; properties, for all redefined names in down to the next
; event-landmark except those redefined in the
; :reclassifying-overwrite mode.  A typical entry in the final alist
; is thus (name :mode . old-sig) where :mode is either :erase or
; :overwrite.  If name was previously defined as a function, old-sig
; is the internal form signature of that function; otherwise old-sig
; is nil.

  (cond ((or (null wrld)
             (and (eq (caar wrld) 'event-landmark)
                  (eq (cadar wrld) 'global-value)))
         ans)
        ((and (eq (cadar wrld) 'redefined)
              (consp (cddar wrld))
              (not (eq (car (cddar wrld)) :reclassifying-overwrite)))
         (collect-redefined-alist
          (cdr wrld)
          (cons (cons (caar wrld) (cddar wrld)) ans)))
        (t (collect-redefined-alist (cdr wrld) ans))))

(defun scrunch-eq (lst)
  (cond ((null lst) nil)
        ((member-eq (car lst) (cdr lst)) (scrunch-eq (cdr lst)))
        (t (cons (car lst) (scrunch-eq (cdr lst))))))

(defun print-redefinition-warning (wrld ctx state)

; If the 'ld-redefinition-action of state says we should :warn and some names
; were redefined, then we print a warning.  See :DOC ld-redefinition-action.
; Note that if the action specifies :warn and a system function is
; redefined, then a query is made.  Provided the user approves, the system
; function is redefined and then this warning is printed because the action
; says :warn.  This is a bit odd since we try, in general, to avoid warning
; if we have querried.  But we don't want to have to determine now if the
; redefined names are system functions, so we warn regardless.

  (cond
   ((warning-disabled-p "Redef")
    state)
   ((let ((act (f-get-global 'ld-redefinition-action state)))
      (and (consp act)
           (or (eq (car act) :warn)
               (eq (car act) :warn!))))
    (let ((redefs
           (scrunch-eq
            (reverse
             (strip-cars
              (collect-redefined-alist
               (cond ((and (consp wrld)
                           (eq (caar wrld) 'event-landmark)
                           (eq (cadar wrld) 'global-value))
                      (cdr wrld))
                     (t (er hard 'print-redefinition-warning
                            "This function is supposed to be called on a world ~
                             that starts at an event landmark, but this world ~
                             starts with (~x0 ~x1 . val)."
                            (caar wrld)
                            (cadar wrld))))
               nil))))))
      (cond (redefs
             (warning$ ctx ("Redef") "~&0 redefined.~%" redefs))
            (t state))))
   (t state)))

(defun initialize-summary-accumulators (state)

; This function is the standard way to start an ACL2 event.  We push a 0 onto
; each of the timers, thus protecting the times accumulated by any superior
; (e.g., an encapsulate) and initializing an accumulator for this event.  The
; accumulated times AND warnings are printed by print-time-summary.

  #+(and (not acl2-loop-only) acl2-rewrite-meter) ; for stats on rewriter depth
  (setq *rewrite-depth-max* 0)

  (pprogn (push-timer 'other-time 0 state)
          (push-timer 'prove-time 0 state)
          (push-timer 'print-time 0 state)
          (push-timer 'proof-tree-time 0 state)
          (push-warning-frame state)
          (f-put-global 'accumulated-ttree nil state)
          (f-put-global 'proof-tree-ctx nil state)
          (f-put-global 'saved-output-reversed nil state)
          (mv-let (x state)
                  (main-timer state)
                  (declare (ignore x))
                  state)))

(defun print-warnings-summary (channel state)
  (mv-let
   (warnings state)
   (pop-warning-frame t state)
   (io? summary nil state
        (channel warnings)
        (mv-let
         (col state)
         (fmt1 "Warnings:  ~*0~%"
               (list (cons #\0
                           (list "None" "~s*" "~s* and " "~s*, "
                                 warnings)))
               0 channel state nil)
         (declare (ignore col))
         state))))

(defun print-time-summary (channel state)

; Print the time line, e.g.,

;Time:  0.15 seconds (prove: 0.00, print: 0.02, other: 0.13)

; assuming that the cursor is at the left margin.

; Once upon a time we considered extending fmt so that it knew how to
; print timers.  However, fmt needs to know which column it is left in
; and returns that to the user.  Thus, if fmt printed a timer (at
; least in the most convenient way) the user could detect the number
; of digits in it.  So we are doing it this way.

  (let ((skip-proof-tree-time
         (and (member-eq 'proof-tree (f-get-global 'inhibit-output-lst state))
              (= (car (get-timer 'proof-tree-time state)) 0))))
    (io? summary nil state
         (channel skip-proof-tree-time)
         (pprogn
          (princ$ "Time:  " channel state)
          (push-timer 'total-time 0 state)
          (add-timers 'total-time 'prove-time state)
          (add-timers 'total-time 'print-time state)
          (add-timers 'total-time 'proof-tree-time state)
          (add-timers 'total-time 'other-time state)
          (print-timer 'total-time channel state)
          (pop-timer 'total-time nil state)
          (princ$ " seconds (prove: " channel state)
          (print-timer 'prove-time channel state)
          (princ$ ", print: " channel state)
          (print-timer 'print-time channel state)
          (if skip-proof-tree-time
              state
            (pprogn (princ$ ", proof tree: " channel state)
                    (print-timer 'proof-tree-time channel state)))
          (princ$ ", other: " channel state)
          (print-timer 'other-time channel state)
          (princ$ ")" channel state)
          (newline channel state)
          (pop-timer 'prove-time t state)
          (pop-timer 'print-time t state)
          (pop-timer 'proof-tree-time t state)
          (pop-timer 'other-time t state)))))

; The following function, all-runes-in-ttree, is typically used by
; each event function to recover the supporting runes from a ttree.

(defun all-runes-in-lmi (lmi wrld ans)

; When we collect all the runes "in" lmi we actually expand symbolic lmis,
; e.g., ASSOC-OF-APP, to the list of all runes based on that symbol.

  (cond ((symbolp lmi)
         (union-equal (strip-cdrs (getprop lmi 'runic-mapping-pairs nil
                                           'current-acl2-world wrld))
                      ans))
        ((or (eq (car lmi) :instance)
             (eq (car lmi) :functional-instance))
         (all-runes-in-lmi (cadr lmi) wrld ans))
        ((eq (car lmi) :theorem) ans)
        (t (add-to-set-equal lmi ans))))

(defun all-runes-in-lmi-lst (lmi-lst wrld ans)
  (cond ((null lmi-lst) ans)
        (t (all-runes-in-lmi-lst (cdr lmi-lst) wrld
                                 (all-runes-in-lmi (car lmi-lst) wrld ans)))))

(defun all-runes-in-var-to-runes-alist (alist ans)
  (cond ((null alist) ans)
        (t (all-runes-in-var-to-runes-alist
            (cdr alist)
            (union-equal (cdr (car alist)) ans)))))

(mutual-recursion

(defun all-runes-in-elim-sequence (elim-sequence ans)

; Elim-sequence is a list of elements, each of which is of the form
; (rune rhs lhs alist restricted-vars var-to-runes-alist ttree)
;  0    1   2   3     4               5                  6

  (cond ((null elim-sequence) ans)
        (t (all-runes-in-elim-sequence
            (cdr elim-sequence)
            (all-runes-in-ttree (nth 6 (car elim-sequence))
                                (all-runes-in-var-to-runes-alist
                                 (nth 5 (car elim-sequence))
                                 (add-to-set-equal (nth 0 (car elim-sequence))
                                                   ans)))))))

(defun all-runes-in-ttree (ttree ans)

; Ttree is any ttree produced by this system.  We sweep it collecting into ans
; every rune in it.  

  (cond
   ((null ttree) ans)
   ((symbolp (caar ttree))
    (all-runes-in-ttree
     (cdr ttree)
     (let ((val (cdar ttree)))

; Val is the value of the tag.  Below we enumerate all possible tags.  For each
; we document the shape of val and then process it for runes. 

       (case
        (caar ttree)
        (lemma                        ;;; Shape:  rune
         (add-to-set-equal val ans))
        (:by                          ;;; Shape: (lmi-lst thm-cl-set constraint-cl k)
         ;;(all-runes-in-lmi-lst (car val) wrld ans)

; As of this writing, there aren't any runes in an lmi list that are
; being treated as runes.  Imagine proving a lemma that is then
; supplied in a :use hint.  It shouldn't matter, from the point of
; view of tracking RUNES, whether that lemma created a rewrite rule that
; is currently disabled or whether that lemma has :rule-classes nil.

         ans)
        (:bye                         ;;; Shape: (name . cl), where name is a
                                    ;;; "new" name, not the name of something used.
         ans)
        (:use                         ;;; Shape: ((lmi-lst (hyp1 ...) cl k) . n)
         ;;(all-runes-in-lmi-lst (car (car val)) wrld ans)

; See comment for the :by case above.

         ans)
        (:cases                       ;;; Shape: ((term1 ... termn) . clauses)
         ans)
        (preprocess-ttree             ;;; Shape: ttree
         (all-runes-in-ttree val ans))
        (assumption                   ;;; Shape: term
         ans)
        (pt                           ;;; Shape: parent tree - just numbers
         ans)
        (fc-derivation                ;;; Shape: fc-deriviation record
         (add-to-set-equal (access fc-derivation val :rune)
                           (all-runes-in-ttree (access fc-derivation val :ttree)
                                               ans)))
        (find-equational-poly         ;;; Shape: (poly1 . poly2)
         (all-runes-in-ttree (access poly (car val) :ttree)
                             (all-runes-in-ttree (access poly (cdr val) :ttree)
                                                 ans)))
        (variables                    ;;; Shape: var-lst
         ans)
        (elim-sequence                ;;; Shape: ((rune rhs lhs alist 
                                    ;;;          restricted-vars
                                    ;;;          var-to-runes-alist
                                    ;;;          ttree) ...)
         (all-runes-in-elim-sequence val ans))
        ((literal                     ;;; Shape: term
          hyp-phrase                  ;;;        tilde-@ phrase
          equiv                       ;;;        equiv relation
          bullet                      ;;;        term
          target                      ;;;        term
          cross-fert-flg              ;;;        boolean flg
          delete-lit-flg              ;;;        boolean flg
          clause-id)                  ;;;        clause-id
         ans)
        ((terms                       ;;; Shape: list of terms
          restricted-vars)            ;;;        list of vars
         ans)
        (var-to-runes-alist           ;;; Shape: (...(var . (rune1 ...))...)
         (all-runes-in-var-to-runes-alist val ans))
        (ts-ttree                     ;;; Shape: ttree
         (all-runes-in-ttree val ans))
        ((irrelevant-lits             ;;; Shape: clause
          clause)                     ;;;        clause
         ans)
        (hidden-preprocess-clause     ;;; Shape: t
         ans)
        (abort-cause                  ;;; Shape: symbol
         ans)
        (accumulated-into-state       ;;; Shape: t
         ans)
        (bddnote                      ;;; Shape: bddnote

; A bddnote has a ttree in it.  However, whenever a bddnote is put into a given
; ttree, the ttree from that bddnote is also added to the same given ttree.
; So, we don't really think of a bddnote as containing a "ttree" per se, but
; rather, a sort of data structure that is isomorphic to a ttree.

         ans)
        (case-limit                    ;;; Shape: t
         ans)
        (sr-limit                      ;;; Shape: t
         ans)
        (otherwise (er hard 'all-runes-in-ttree
                       "This function must know every possible tag so that it ~
                        can recover the runes used in a ttree.  The unknown ~
                        tag ~x0, whose value is ~x1, has just been encountered."
                       (caar ttree)
                       (cdar ttree)))))))
   (t (all-runes-in-ttree (cdr ttree)
                          (all-runes-in-ttree (car ttree) ans)))))
)

(defun rune-< (x y)
  (cond
   ((eq (car x) (car y))
    (symbol-< (cadr x) (cadr y)))
   ((symbol-< (car x) (car y))
    t)
   (t
    nil)))

(defun merge-runes (l1 l2)
  (cond ((null l1) l2)
        ((null l2) l1)
        ((rune-< (car l1) (car l2))
         (cons (car l1) (merge-runes (cdr l1) l2)))
        (t (cons (car l2) (merge-runes l1 (cdr l2))))))

(defun merge-sort-runes (l)
  (cond ((null (cdr l)) l)
        (t (merge-runes (merge-sort-runes (evens l))
                        (merge-sort-runes (odds l))))))

(defun print-rules-summary (channel state)
  (let ((runes (merge-sort-runes
                (all-runes-in-ttree
                 (f-get-global 'accumulated-ttree state)
                 nil))))
    (mv-let (col state)
      (io? summary nil (mv col state)
           (channel runes)
           (fmt1 "Rules: ~y0~|"
                 (list (cons #\0 runes))
                 0 channel state nil)
           :default-bindings ((col 0)))
      (declare (ignore col))
      (pprogn (f-put-global 'accumulated-ttree nil state)

; Since we've already printed the appropriate rules, there is no need to print
; them again the next time we want to print rules.  That is why we set the
; accumulated-ttree to nil here.  If we ever want certify-book, say, to be able
; to print rules when it fails, then we should use a stack of ttrees rather
; than a single accumulated-ttree.

              state))))

#+acl2-rewrite-meter
(defun merge-cdr-> (l1 l2)
  (cond ((null l1) l2)
        ((null l2) l1)
        ((> (cdr (car l1)) (cdr (car l2)))
         (cons (car l1) (merge-cdr-> (cdr l1) l2)))
        (t (cons (car l2) (merge-cdr-> l1 (cdr l2))))))

#+acl2-rewrite-meter
(defun merge-sort-cdr-> (l)
  (cond ((null (cdr l)) l)
        (t (merge-cdr-> (merge-sort-cdr-> (evens l))
                        (merge-sort-cdr-> (odds l))))))

(defun print-summary (erp noop-flg ctx state)

; This function prints the Summary paragraph.  Part of that paragraph includes
; the timers.  Time accumulated before entry to this function is charged to
; 'other-time.  We then pop the timers, adding their accumulations to the newly
; exposed time.  This has the effect of charging superior events for the time
; used by their inferiors.

; If erp is t, the "event" caused an error and we do not scan for redefined
; names but we do print the failure string.  If noop-flg is t then the
; installed world did not get changed by the "event" (e.g., the "event" was
; redundant or was not really an event but was something like a call of (thm
; ...)) and we do not scan the most recent event block for redefined names.

  #+(and (not acl2-loop-only) acl2-rewrite-meter) ; for stats on rewriter depth
  (cond ((atom ctx))
        ((symbolp (cdr ctx))
         (cond ((not (eql *rewrite-depth-max* 0))
                (setq *rewrite-depth-alist*
                      (cons (cons (intern (symbol-name (cdr ctx)) "ACL2")

; We intern into the ACL2 package so that our tools can read this alist back in
; without needing a DEFPKG to be executed first.  The name is really all we
; care about here anyhow; all we would do with it is to search for it in the
; indicated file.

                                  *rewrite-depth-max*)
                            *rewrite-depth-alist*))
                (setq *rewrite-depth-max* 0))))
        ((eq (car ctx) 'certify-book)
         (let* ((bookname (extend-pathname
                           (f-get-global 'connected-book-directory state)
                           (cdr ctx)
                           (os (w state))))
                (filename (concatenate 'string bookname ".lisp")))
           (with-open-file (str filename
                                :direction :output
                                :if-exists :rename-and-delete)
                           (format str
                                   "~s~%"
                                   (cons filename
                                         (merge-sort-cdr-> *rewrite-depth-alist*)))))
         (setq *rewrite-depth-alist* nil)))

  (let ((channel (proofs-co state))
        (wrld (w state)))
    (cond
     ((or (ld-skip-proofsp state)
          (output-ignored-p 'summary state))
      (pprogn (increment-timer 'other-time state)
              (if (or erp noop-flg)
                  state
                (print-redefinition-warning wrld ctx state))
              (pop-timer 'prove-time t state)
              (pop-timer 'print-time t state)
              (pop-timer 'proof-tree-time t state)
              (pop-timer 'other-time t state)
              (mv-let (warnings state)
                      (pop-warning-frame nil state)
                      (declare (ignore warnings))
                      state)))
     (t

; Even if 'summary is inhibited, we still use io? below, and inside some
; functions below, because of its window hacking and saved-output functions.

      (pprogn
       (increment-timer 'other-time state)
       (if (or erp noop-flg)
           state
         (print-redefinition-warning wrld ctx state))
       (io? summary nil state
            (ctx channel)
            (mv-let
              (col state)
              (fmt "Summary~%Form:  " nil channel state nil)
              (mv-let
                (col state)
                (fmt-ctx ctx col channel state)
                (declare (ignore col))
                (newline channel state))))
       (print-rules-summary channel state) ; Call of io? is inside
       (pprogn (print-warnings-summary channel state)
               (print-time-summary channel state))
       (cond (erp
              (pprogn
               (io? summary nil state
                    (channel)
                    (fms *proof-failure-string* nil channel state nil))
               (cond
                ((f-get-global 'proof-tree state)
                 (io? proof-tree nil state
                      (ctx)
                      (pprogn (f-put-global 'proof-tree-ctx
                                            (cons :failed ctx)
                                            state)
                              (print-proof-tree state))))
                (t state))))
             (t state))
       (f-put-global 'proof-tree nil state))))))

(defmacro with-ctx-summarized (ctx body)

; A typical use of this macro by an event creating function is:
; (with-ctx-summarized (cons 'defun name)
;   (er-progn ... 
;             (er-let* (... (v form) ...)
;             (install-event ...))))

; If body changes the installed world then the new world must end with an
; event-landmark (we cause an error otherwise).  The segment of the new world
; back to the previous event-landmark is scanned for redefined names and an
; appropriate warning message is printed, as per ld-redefinition-action.

; The most obvious way to satisfy this restriction on world is for each
; branch through body to (a) stop with stop-redundant-event, (b) signal an
; error, or (c) conclude with install-event.  Two of our current uses of this
; macro do not follow so simple a paradigm.  In include-book-fn we add many
; events (in process-embedded-events) but we do conclude with an install-event
; which couldn't possibly redefine any names because no names are defined in
; the segment from the last embedded event to the landmark for the include-book
; itself.  In certify-book-fn we conclude with an include-book-fn.  So in both
; of those cases the scan for redefined names ends quickly (without going into
; the names possibly redefined in the embedded events) and finds nothing to
; report.

; This macro initializes the timers for an event and then executes the supplied
; body, which should return an error triple.  Whether an error is signalled or
; not, the macro prints the summary and then pass the error triple on up.  The
; stats must be available from the state.  In particular, we print redefinition
; warnings that are recovered from the currently installed world in state and
; we print the runes from 'accumulated-ttree.

  `(let ((ctx ,ctx)
         (wrld0 (w state)))
     (pprogn (initialize-summary-accumulators state)
             (mv-let
              (erp val state)
              (state-global-let*
               ((proof-tree-ctx nil)
                (saved-output-p t)
                (print-base 10))
               (mv-let (erp val state)
                       (pprogn
                        (push-io-record
                         :ctx
                         (list 'mv-let
                               '(col state)
                               '(fmt "Output replay for: "
                                     nil (standard-co state) state nil)
                               (list 'mv-let
                                     '(col state)
                                     (list 'fmt-ctx
                                           (list 'quote ,ctx)
                                           'col
                                           '(standard-co state)
                                           'state)
                                     '(declare (ignore col))
                                     '(newline (standard-co state) state)))
                         state)
                        ,body)
                       (pprogn (print-summary erp
                                              (equal wrld0 (w state))
                                              ctx state)
                               (mv erp val state))))

; In the case of a compound event such as encapsulate, we do not want to save
; io? forms for proof replay that were generated after a failed proof attempt.
; Otherwise, if we do not set the value of 'saved-output-p below to nil, then
; replay from an encapsulate with a failed defthm will pop warnings more often
; than pushing them (resulting in an error from pop-warning-frame).  This
; failure (without setting 'saved-output-p below) happens because the pushes
; are only from io? forms saved inside the defthm, yet we were saving the
; pops from the enclosing encapsulate.

              (pprogn (f-put-global 'saved-output-p nil state)
                      (mv erp val state))))))

(defun supply-cddr-for-lst (name lst)

; Replace each element (a b . c) of lst by (a b . name).

  (cond
   ((endp lst) nil)
   (t (cons (list* (caar lst) (cadar lst) name)
            (supply-cddr-for-lst name (cdr lst))))))

(defun proved-functional-instances-from-tagged-objects (name lst)

; Returns a list of entries of the form (constraint-event-name restricted-alist
; . name).  Lst is a list of values generated by calls

; (cdr (assoc-eq key (access prove-spec-var pspv :hint-settings)))

; where key is :use or :by, where each member of lst is a value returned by
; translate-use-hint and translate-by-hint:

; (list x0 x1 x2 x3 x4 new-entries)

; although in the case of :by, this value could be an atom.

  (cond
   ((null lst) nil)
   ((atom (cdr (car lst)))
    (proved-functional-instances-from-tagged-objects name (cdr lst)))
   (t (append (supply-cddr-for-lst name (nth 5 (car lst)))
              (proved-functional-instances-from-tagged-objects
               name (cdr lst))))))

#|

Statistical and related information related to image size.

Here is some information collected while first creating a small version near
the completion of Version 1.8.

At one point we had the following size statistic, using GCL 2.0:

-rwxrwxr-x  1 kaufmann 13473876 May  1 11:27 small-saved_acl2

We were able to account for nearly all of this 13.5 megabytes by the following
reckoning.  Some associated code follows.

 3.2    Raw GCL 2.0
 2.9    Additional space from loading ACL2 object files
        [note:  not much more than Nqthm, less than Pc-Nqthm!]
 3.7    Conses (327648) from (count-objects (w state)), less those that
        are from constants: (* 12 (- 327648 (- 21040 145))).  Note:
        36,236 = (length (w state))
 0.9    Extra conses (72888) generated by (get sym *CURRENT-ACL2-WORLD-KEY*);
        see code below.  The first few such numbers, in order, are:
        ((4207 . EVENT-LANDMARK) (3806 . COMMAND-LANDMARK)
         (3734 . CLTL-COMMAND) (424 . EVENT-INDEX) (384 . COMMAND-INDEX)
         (103 . PC-COMMAND-TABLE) (76 . PRIN1-WITH-SLASHES1) (75 . NTH)
         (74 . NONCONSTRUCTIVE-AXIOM-NAMES) (72 . UPDATE-NTH))
 0.3    Extra conses (23380) generated on symbol-plists; see code below
 0.9    Mystery conses, (- 5.8 (+ 3.7 0.9 0.3)).  Where does 5.8 come from?
        It's (* SYSTEM:LISP-PAGESIZE (- 1617 200)), where 1617 is the number
        of cons pages in the ACL2 image and 200 is the number in an image
        obtained by loading the .o files.
 0.7    Extra cell space, other than cons, over the image obtained from .o
        files only (including string, fixnum, ..., arrays for enabled
        structures and type-set tables, ...):
        (* SYSTEM:LISP-PAGESIZE
           (- (+ 34 162 1 2 73 6 20)
              (+  3  74 1 1 27 6 18)))
 0.4    Other extra space, which is probably NOT related to TMP1.o space
        (because presumably that space doesn't show up in (room)):
        (* SYSTEM:LISP-PAGESIZE
           (- (+ 6 107)
              (+ 1 11)))
 0.4    TMP1.o size calculated by:  (- 12195924 11823188), the difference
        in sizes of two images built using (acl2::load-acl2 t) followed by
        (initialize-acl2 nil nil t), but using a patch the second time that
        avoided loading TMP1.o.
---
13.4    Total

NOTE:  From

ACL2>(length (w state))
36351

we suspect that it would not be easy to significantly reduce the figure from
(count-objects (w state)) above.

Some relevant code:

;;;;;;;;;;;;;;; count.lisp

(eval-when (load)
           (si::allocate 'fixnum 100)))

(defvar *monitor-count* nil)

(defvar *string-count*
  (make-array$ '(1) :initial-element (the fixnum 0) :element-type 'fixnum))

(defvar *cons-count*
  (make-array$ '(1) :initial-element (the fixnum 0) :element-type 'fixnum))

(defvar *count-hash-table*
  (make-hash-table :test 'eq :size 500000))

(defun increment-string-count (len)
  (declare (type fixnum len))
  (cond ((and *monitor-count*
              (= (the fixnum
                   (logand (the fixnum (aref *string-count* 0))
                           (the fixnum 4095)))
                 0))
         (format t "String count: ~s" (aref *string-count* 0))))
  (setf (aref (the (array fixnum (1)) *string-count*)
              0)
        (the fixnum (1+ (the fixnum
                             (+ (the fixnum len)
                                (the fixnum (aref *string-count* 0)))))))
  t)

(defun increment-cons-count ()
  (cond ((and *monitor-count*
              (= (the fixnum
                   (logand (the fixnum (aref *cons-count* 0))
                           (the fixnum 4095)))
                 0))
         (format t "Cons count: ~s" (aref *cons-count* 0))))
  (setf (aref (the (array fixnum (1)) *cons-count*)
              0)
        (the fixnum (+ 1 (the fixnum (aref *cons-count* 0)))))
  t)

(defvar *acl2-strings*)

(defun count-objects1 (x)
  (cond
   ((consp x)
    (cond
     ((gethash x *count-hash-table*)
      nil)
     (t
      (increment-cons-count)
      (setf (gethash x *count-hash-table*) t)
      (count-objects1 (car x))
      (count-objects1 (cdr x)))))
   ((stringp x)
    (or (gethash x *count-hash-table*)
        (progn (increment-string-count (the fixnum (length x)))
               (setq *acl2-strings* (cons x *acl2-strings*))
               (setf (gethash x *count-hash-table*) t))))))

(defun count-objects (x &optional clear)
  (setq *acl2-strings* nil)
  (setf (aref *cons-count* 0) 0)
  (setf (aref *string-count* 0) 0)
  (when clear
    (clrhash *count-hash-table*))
  (count-objects1 x)
  (list 'cons-count (aref *cons-count* 0)
        'string-count (aref *string-count* 0)))

;;;;;;;;;;;;;;; end of count.lisp

(compile
 (defun extra-count (&aux ans)
   ;;  (count-objects (w state)) already done
   (do-symbols (sym "ACL2")
     (let ((temp (get sym *CURRENT-ACL2-WORLD-KEY*)))
       (cond (temp
              (let ((count (count-objects temp)))
                (cond
                 (count (push (cons sym count) ans))))))))
   ans))

(progn (setq new-alist
             (stable-sort
              (sloop::sloop for x in (extra-count)
                            collect (cons (caddr x) (car x)))
              (function (lambda (x y) (> (car x) (car y))))))
       17)

(sloop::sloop for x in new-alist
              sum (car x))

ACL2>(take 10 new-alist)
((4207 . EVENT-LANDMARK) (3806 . COMMAND-LANDMARK)
 (3734 . CLTL-COMMAND) (424 . EVENT-INDEX) (384 . COMMAND-INDEX)
 (103 . PC-COMMAND-TABLE) (76 . PRIN1-WITH-SLASHES1) (75 . NTH)
 (74 . NONCONSTRUCTIVE-AXIOM-NAMES) (72 . UPDATE-NTH))

ACL2>(length new-alist)
3835

Note that the symbol-plists also take up space.

(compile
 (defun more-count (&aux ans)
   ;;  (count-objects (w state)) already done
   (do-symbols (sym "ACL2")
     (let ((temp (symbol-plist sym)))
       (cond (temp
              (let ((count (count-objects temp)))
                (cond
                 (count (push (cons (cadr count) sym) ans))))))))
   ans))

(progn (setq more-alist
             (stable-sort
              (more-count)
              (function (lambda (x y) (> (car x) (car y))))))
       17)

ACL2>(car more-alist)
(180 . AREF)

ACL2>(sloop::sloop for x in more-alist sum (car x))
[lots of GCs]
38657
[Note:  Was 7607 using LISP package in raw GCL.]

Note:  There are 3835 symbols for which ACL2 causes at least two conses on
their symbol-plist, in the following sense.

(let ((temp 0))
       (do-symbols (x "ACL2")
         (when (get x *CURRENT-ACL2-WORLD-KEY*)
           (setq temp (1+ temp))))
       temp)

But that still leaves (- 38657 (+ 7607 (* 2 3835))) = 23380 conses not
accounted for.  That's 281K of memory for "phantom" symbol-plist conses?

Consider just those conses in (w state) other than 'const conses, since (except
for the cell used to extend (w state)) these are part of the load image.

(compile (defun foo ()
           (let ((temp (sloop::sloop for trip in (w state)
                               when (eq (cadr trip) 'const)
                               collect trip)))
             (list (length temp) (count-objects temp)))))
(foo)
-->
(145 (CONS-COUNT 21040 STRING-COUNT 5468))

End of statistical and related information related to image size.

|#

(defun add-command-landmark (defun-mode form last-make-event-expansion wrld)

; As with add-event-landmark above, we first update the world index
; and then add the command-landmark.  However, here it is crucial that
; the index be inside the landmark, i.e., that the landmark happen
; last.  Suppose we put the landmark down first and then added the
; index for that landmark.  If we later did a :ubt of the subsequent
; command, we would kill the index entry.  No harm would come then.
; But n commands later we would find the index out of sync with the
; maximum command number.  The problem is that :ubt keys on
; 'command-landmark and we ought to keep them outside everything else.

; The function maybe-add-command-landmark, which ld-loop uses to add
; command-landmarks in response to user commands, relies upon the fact
; that well-formed worlds always contain a command-landmark as their
; first element.

; Defun-Mode is generally the default-defun-mode of the world in which this
; form is being executed.  But there are two possible exceptions.  When we add
; the command landmarks for enter-boot-strap-mode and exit-boot-strap-mode we
; just use the defun-mode :logic.  That happens to be correct for
; exit-boot-strap-mode, but is wrong for enter-boot-strap-mode, which today is
; being executed with default-defun-mode :program.  But it is irrelevant
; because neither of those two commands are sensitive to the
; default-defun-mode.

  (global-set 'command-landmark
              (make-command-tuple
               (next-absolute-command-number wrld)
               defun-mode
               form
               last-make-event-expansion)
              (update-world-index 'command wrld)))

(defun find-longest-common-retraction1 (wrld1 wrld2)
  (cond ((equal wrld1 wrld2) wrld1)
        (t (find-longest-common-retraction1
            (scan-to-command (cdr wrld1))
            (scan-to-command (cdr wrld2))))))

(defun find-longest-common-retraction1-event (wrld1 wrld2)
  (cond ((equal wrld1 wrld2) wrld1)
        (t (find-longest-common-retraction1
            (scan-to-event (cdr wrld1))
            (scan-to-event (cdr wrld2))))))

(defun find-longest-common-retraction (event-p wrld1 wrld2)

; Wrld1 and wrld2 are two worlds.  We find and return a wrld3 that
; concludes with a command-landmark such that both wrld1 and wrld2 are
; extensions of wrld3.  Of course, nil would do, but we find the
; longest.

  (cond
   (event-p
    (let* ((n (min (max-absolute-event-number wrld1)
                   (max-absolute-event-number wrld2))))
      (find-longest-common-retraction1-event
       (scan-to-landmark-number 'event-landmark n wrld1)
       (scan-to-landmark-number 'event-landmark n wrld2))))
   (t
    (let* ((n (min (max-absolute-command-number wrld1)
                   (max-absolute-command-number wrld2))))
      (find-longest-common-retraction1
       (scan-to-landmark-number 'command-landmark n wrld1)
       (scan-to-landmark-number 'command-landmark n wrld2))))))

(defun install-global-enabled-structure (wrld state)
  (cond
   ((null wrld) ; see initial call of set-w in enter-boot-strap-mode
    state)
   (t
    (let* ((augmented-theory (global-val 'current-theory-augmented wrld))
           (ens (f-get-global 'global-enabled-structure state))
           (theory-array (access enabled-structure ens :theory-array))
           (current-theory-index (global-val 'current-theory-index wrld))
           (eq-theories (equal augmented-theory (cdr theory-array))))
      (cond ((and eq-theories
                  (eql current-theory-index
                       (access enabled-structure ens :index-of-last-enabling)))
             state)
            ((and eq-theories
                  (< current-theory-index
                     (car (dimensions (access enabled-structure ens
                                              :array-name)
                                      theory-array))))
             (f-put-global 'global-enabled-structure
                           (change enabled-structure ens
                                   :index-of-last-enabling
                                   current-theory-index)
                           state))
            (t
             (mv-let (erp new-ens state)
                     (load-theory-into-enabled-structure
                      :no-check augmented-theory t
                      ens nil current-theory-index wrld
                      'irrelevant-ctx state)
                     (assert$ (null erp)
                              (f-put-global 'global-enabled-structure
                                            new-ens
                                            state)))))))))

(defun set-w (flg wrld state)

; Ctx is ignored unless we are extending the current ACL2 world, in which case
; if ctx is not nil, there will be a check on the new theory from a call of
; maybe-warn-about-theory.

; This is the only way in ACL2 (as opposed to raw Common Lisp) to
; install wrld as the current-acl2-world.  Flg must be either
; 'extension or 'retraction.  Logically speaking, all this function
; does is set the state global value of 'current-acl2-world in state
; to be wrld and possibly set current-package to "ACL2".  Practically,
; speaking however, it installs wrld on the symbol-plists in Common
; Lisp.  However, wrld must be an extension or retraction, as
; indicated, of the currently installed ACL2 world.

; Statement of Policy regarding Erroneous Events and 
; Current ACL2 World Installation:

; Any event which causes an error must leave the current-acl2-world of
; state unchanged.  That is, if you extend the world in an event, you
; must revert on error back to the original world.  Once upon a time
; we enforced this rule in LD, simply by reverting the world on every
; erroneous command.  But then we made that behavior conditional on
; the LD special ld-error-triples.  If ld-error-triples is nil, then
; (mv t nil state) is not treated as an error by LD.  Hence, an
; erroneous DEFUN, say, evaluated with ld-error-triples nil, does not
; cause LD to revert.  Therefore, DEFUN must manage the reversion
; itself.

  #+acl2-loop-only
  (declare (xargs :guard
                  (and (or (eq flg 'extension)
                           (eq flg 'retraction))
                       (worldp wrld)
                       (known-package-alistp
                        (getprop 'known-package-alist 'global-value nil
                                 'current-acl2-world
                                 wrld))
                       (symbol-alistp
                        (getprop 'acl2-defaults-table 'table-alist nil
                                 'current-acl2-world
                                 wrld))
                       (state-p state))))

  #+acl2-loop-only
  (pprogn
   (f-put-global 'current-acl2-world

; Here comes a slimy trick to avoid compiler warnings.

                 (prog2$ flg wrld)
                 state)
   (install-global-enabled-structure wrld state)
   (cond ((find-non-hidden-package-entry (current-package state)
                                         (known-package-alist state))
          state)
         (t (f-put-global 'current-package "ACL2" state))))
  #-acl2-loop-only
  (cond ((live-state-p state)
         (cond ((and *wormholep*
                     (not (eq wrld (w *the-live-state*))))
                (push-wormhole-undo-formi 'cloaked-set-w! (w *the-live-state*)
                                          nil)))
         (cond ((eq flg 'extension)
                (extend-world1 'current-acl2-world wrld)
                state)
               (t
                (retract-world1 'current-acl2-world wrld)
                state)))
        (t (f-put-global 'current-acl2-world wrld state)
           (install-global-enabled-structure wrld state)
           (cond ((find-non-hidden-package-entry (current-package state)
                                                 (known-package-alist state))
                  state)
                 (t (f-put-global 'current-package "ACL2" state))))))

(defun set-w! (wrld state)

; This function makes wrld the current-acl2-world, but doesn't require
; that wrld be either an 'extension or a 'retraction of the current
; one.  Note that any two worlds, wrld1 and wrld2, can be related by a
; retraction followed by an extension: retract wrld1 back to the first
; point at which it is a tail of wrld2, and then extend that world to
; wrld2.  That is what we do.

  (let ((w (w state)))
    (cond ((equal wrld w)
           state)
          (t
           (pprogn (set-w 'retraction
                          (find-longest-common-retraction

; It is important to use events rather than commands here when certifying or
; including a book.  Otherwise, when make-event expansion extends the world, we
; will have to revert back to the beginning of the most recent top-level
; command and install the world from there.  With a large number of such
; make-event forms, such quadratic behavior could be unfortunate.  And, the
; file books/make-event/stobj-test.lisp illustrates that if after make-event
; expansion we revert to the beginning of the book being certified, we could
; lose the setting of a stobj in that expansion.

                           (or (f-get-global 'certify-book-info state)
                               (global-val 'include-book-path w))
                           wrld
                           w)
                          state)
                   (set-w 'extension
                          wrld
                          state))))))

(defmacro revert-world-on-error (form)

; With this macro we can write (revert-world-on-error &) and if &
; causes an error the world will appear unchanged (because we revert
; back to the world of the initial state).  The local variable used to
; save the old world is a long ugly name only because we prohibit its
; use in ,form.  (Historical Note: Before the introduction of
; acl2-unwind-protect we had to use raw lisp to handle this and the
; handling of that special variable was very subtle.  Now it is just
; an ordinary local of the let.)

  `(let ((revert-world-on-error-temp (w state)))
     (acl2-unwind-protect
      "revert-world-on-error"
      (check-vars-not-free (revert-world-on-error-temp) ,form)
      (set-w! revert-world-on-error-temp state)
      state)))

(defun chk-theory-expr-value1 (lst wrld expr macro-aliases ctx state)

; A theory expression must evaluate to a common theory, i.e., a
; truelist of rule name designators.  A rule name designator, recall,
; is something we can interpret as a set of runes and includes runes
; themselves and the base symbols of runes, such as APP and
; ASSOC-OF-APP.  We already have a predicate for this concept:
; theoryp.  This checker checks for theoryp but with better error
; reporting.

  (cond ((atom lst)
         (cond ((null lst)
                (value nil))
               (t (er soft ctx
                      "The value of the alleged theory expression ~x0 ~
                       is not a true list and, hence, is not a legal ~
                       theory value.  In particular, the final ~
                       non-consp cdr is the atom ~x1.  See :DOC theories."
                      expr lst))))
        ((rule-name-designatorp (car lst) macro-aliases wrld)
         (chk-theory-expr-value1 (cdr lst) wrld expr macro-aliases ctx
                                 state))
        (t (er soft ctx
               "The value of the alleged theory expression ~x0 ~
                includes the element ~x1, which we do not know how to ~
                interpret as a rule name.  See :DOC theories and :DOC ~
                rune."
               expr (car lst)))))

(defun chk-theory-expr-value (lst wrld expr ctx state)

; This checker ensures that expr, whose value is lst, evaluated to a theoryp.
; Starting after Version_3.0.1 we no longer check the theory-invariant table,
; because the ens is not yet available at this point.

  (chk-theory-expr-value1 lst wrld expr (macro-aliases wrld) ctx state))

(defun theory-fn-translated-callp (x)

; We return t or nil.  If t, then we know that the term x evaluates to a runic
; theory.  See also theory-fn-callp.

  (and (nvariablep x)
       (not (fquotep x))
       (member-eq (car x)
                  '(current-theory-fn
                    e/d-fn
                    executable-counterpart-theory-fn
                    function-theory-fn
                    intersection-theories-fn
                    set-difference-theories-fn
                    theory-fn
                    union-theories-fn
                    universal-theory-fn))
       t))

(defun eval-theory-expr (expr ctx wrld state)

; returns a runic theory

  (cond ((equal expr '(current-theory :here))
         (mv-let (erp val latches)
                 (ev '(current-theory-fn ':here world)
                     (list (cons 'world wrld))
                     state nil nil)
                 (declare (ignore latches))
                 (mv erp val state)))
        (t (er-let*
            ((trans-ans
              (state-global-let*
               ((guard-checking-on t) ; see the Essay on Guard Checking
                ;;; (safe-mode t) ; !! experimental deletion
                )
               (simple-translate-and-eval
                expr
                (list (cons 'world wrld))
                nil
                "A theory expression" ctx wrld state))))

; Trans-ans is (term . val).

            (cond ((theory-fn-translated-callp (car trans-ans))
                   (value (cdr trans-ans)))
                  (t
                   (er-progn
                    (chk-theory-expr-value (cdr trans-ans) wrld expr ctx state)
                    (value (runic-theory (cdr trans-ans) wrld)))))))))

(defun append-strip-cdrs (x y)

; This is (append (strip-cdrs x) y).

  (cond ((null x) y)
        (t (cons (cdr (car x)) (append-strip-cdrs (cdr x) y)))))

(defun no-rune-based-on (runes symbols)
  (cond ((null runes) t)
        ((member-eq (base-symbol (car runes)) symbols)
         nil)
        (t (no-rune-based-on (cdr runes) symbols))))

(defun revappend-delete-runes-based-on-symbols1 (runes symbols ans)

; We delete from runes all those with base-symbols listed in symbols
; and accumulate them in reverse order onto ans.

  (cond ((null runes) ans)
        ((member-eq (base-symbol (car runes)) symbols)
         (revappend-delete-runes-based-on-symbols1 (cdr runes) symbols ans))
        (t (revappend-delete-runes-based-on-symbols1 (cdr runes)
                                                     symbols
                                                     (cons (car runes) ans)))))

(defun revappend-delete-runes-based-on-symbols (runes symbols ans)

; In computing the useful theories we will make use of previously stored values
; of those theories.  However, those stored values might contain "runes" that
; are no longer runes because of redefinition.  The following function is used
; to delete from those non-runes, based on the redefined base symbols.

; This function returns the result of appending the reverse of ans to the
; result of removing runes based on symbols from the given list of runes.  It
; should return a runic theory.

  (cond ((or (null symbols) (no-rune-based-on runes symbols))

; This case is not only a time optimization, but it also allows sharing.  For
; example, runes could be the 'current-theory, and in this case we will just be
; extending that theory.

         (revappend ans runes))
        (t (reverse
            (revappend-delete-runes-based-on-symbols1 runes symbols ans)))))

(defun current-theory1 (lst ans redefined)

; Lst is a cdr of wrld.  We wish to return the enabled theory as of the time
; lst was wrld.  When in-theory is executed it stores the newly enabled theory
; under the 'global-value of the variable 'current-theory.  When new rule names
; are introduced, they are automatically considered enabled.  Thus, the enabled
; theory at any point is the union of the current value of 'current-theory and
; the names introduced since that value was set.  However, :REDEF complicates
; matters.  See universal-theory-fn1.

  (cond ((null lst)
         #+acl2-metering (meter-maid 'current-theory1 500)
         (reverse ans)) ; unexpected, but correct
        ((eq (cadr (car lst)) 'runic-mapping-pairs)
         #+acl2-metering (setq meter-maid-cnt (1+ meter-maid-cnt))
         (cond
          ((eq (cddr (car lst)) *acl2-property-unbound*)
           (current-theory1 (cdr lst) ans
                            (add-to-set-eq (car (car lst)) redefined)))
          ((member-eq (car (car lst)) redefined)
           (current-theory1 (cdr lst) ans redefined))
          (t 
           (current-theory1 (cdr lst)
                            (append-strip-cdrs (cddr (car lst)) ans)
                            redefined))))
        ((and (eq (car (car lst)) 'current-theory)
              (eq (cadr (car lst)) 'global-value))

; We append the reverse of our accumulated ans to the appropriate standard
; theory, but deleting all the redefined runes.

         #+acl2-metering (meter-maid 'current-theory1 500)
         (revappend-delete-runes-based-on-symbols (cddr (car lst))
                                                  redefined ans))
        (t
         #+acl2-metering (setq meter-maid-cnt (1+ meter-maid-cnt))
         (current-theory1 (cdr lst) ans redefined))))

(defun first-n-ac-rev (i l ac)

; This is the same as first-n-ac, except that it reverses the accumulated
; result -- more efficient if you want the reversed result.

  (declare (type (integer 0 *) i)
           (xargs :guard (and (true-listp l)
                              (true-listp ac))))
  (cond ((zp i)
         ac)
        (t (first-n-ac-rev (1- i) (cdr l) (cons (car l) ac)))))

(defun longest-common-tail-length-rec (old new acc)
  (declare (type (signed-byte 29) acc))
  #-acl2-loop-only
  (when (eq old new)
    (return-from longest-common-tail-length-rec (+ (length old) acc)))
  (cond ((endp old)
         (assert$ (null new)
                  acc))
        (t (longest-common-tail-length-rec (cdr old)
                                           (cdr new)
                                           (if (equal (car old) (car new))
                                               (1+f acc)
                                             0)))))

(defun longest-common-tail-length (old new)

; We separate out this wrapper function so that we don't need to be concerned
; about missing the #-acl2-loop-only case in the recursive computation, which
; could perhaps happen if we are in safe-mode and oneification prevents escape
; into Common Lisp.

  (longest-common-tail-length-rec old new 0))

(defun extend-current-theory (old-th new-th old-aug-th wrld)

; Logically this function just returns new-th.  However, the copy of new-th
; that is returned shares a maximal tail with old-th.  A second value similarly
; extends old-aug-th, under the assumption that old-aug-th is the
; augmented-theory corresponding to old-th; except, if old-aug-th is :none then
; the second value is undefined.

  (let* ((len-old (length old-th))
         (len-new (length new-th))
         (len-common
          (cond ((int= len-old len-new)
                 (longest-common-tail-length old-th new-th))
                ((< len-old len-new)
                 (longest-common-tail-length
                  old-th
                  (nthcdr (- len-new len-old) new-th)))
                (t
                 (longest-common-tail-length
                  (nthcdr (- len-old len-new) old-th)
                  new-th))))
         (take-new (- len-new len-common))
         (nthcdr-old (- len-old len-common))
         (new-part-of-new-rev (first-n-ac-rev take-new new-th nil)))
    (mv (append (reverse new-part-of-new-rev)
                (nthcdr nthcdr-old old-th))
        (if (eq old-aug-th :none)
            :none
          (append (augment-runic-theory1 new-part-of-new-rev nil wrld nil)
                  (nthcdr nthcdr-old old-aug-th))))))

(defun update-current-theory (theory0 wrld)
  (mv-let (theory theory-augmented)
          (extend-current-theory

; It's not necessarily reasonable to assume that theory0 shares a lot of
; structure with the most recent value of 'current-theory.  But it could
; happen, so we take the opportunity to save space.  Consider the not uncommon
; case that theory0 is the value of (current-theory :here).  Theory0 may be eq
; to the value of 'current-theory, in which case this extend-current-theory
; call below will be cheap because it will just do a single eq test.  However,
; theory0 could be a copy of the most recent 'current-theory that doesn't share
; much structure with it, in which case it's a good thing that we are here
; calling extend-current-theory.

           (global-val 'current-theory wrld)
           theory0
           (global-val 'current-theory-augmented wrld)
           wrld)
          (global-set 'current-theory theory
                      (global-set 'current-theory-augmented theory-augmented
                                  (global-set 'current-theory-index
                                              (1- (get-next-nume wrld))
                                              wrld)))))

(defun install-event (val form ev-type namex ttree cltl-cmd
                          chk-theory-inv-p ctx wrld state)

; This function is the way to finish off an ACL2 event.  Val is the value to be
; returned by the event (in the standard error flag/val/state three-valued
; result).  Namex is either 0, standing for the empty set of names, an atom,
; standing for the singleton set of names containing that atom, or a true list
; of symbols, standing for the set of names in the list.  Each symbol among
; these names will be given an 'absolute-event-number property.  In addition,
; we set 'event-landmark 'global-value to an appropriate event tuple, thus
; marking the world for this event.  Cltl-cmd is the desired value of the
; 'global-value for 'cltl-command (see below).  Chk-theory-inv-p is generally
; nil, but is non-nil if we are to check theory invariants, and is :PROTECT if
; the call is not already in the scope of a revert-world-on-error.  Wrld is the
; world produced by the ACL2 event and state is the current state, and before
; extending it as indicated above, we extend it if necessary by an appropriate
; record of the proof obligations discharged in support of functional
; instantiation, in order to avoid such proofs in later events.

; Ttree is the final ttree of the event.  We install it as 'accumulated-ttree
; so that the runes reported in the summary are guaranteed to be those of the
; carefully tracked ttree passed along through the proof.  It is possible that
; the 'accumulated-ttree already in state contains junk, e.g., perhaps we
; accumulated some runes from a branch of the proof we have since abandoned.
; We try to avoid this mistake, but just to be sure that a successful proof
; reports the runes that we really believe got used, we do it this way.

; We store the 'absolute-event-number property for each name.