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acl2 3.1-1
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<html>
<head><title>ACL2 Version 3.1</title></head>
<body text=#000000 bgcolor="#FFFFFF">
<h1>Index</h1>


This index lists all documented topics in ACL2, arranged into sections.  The first section is devoted to those whose names begin with signs (and digits), such as *STANDARD-CI* and 1+.  Thereafter we have one section for each of the 26 letters of the alphabet.  The last section is devoted to those topics in the ACL2-PC package.  By clicking on the appropriate entry of the line below you can go to the corresponding section of the index.

You may use Find to search the Index.

We also provide an index based on <a href="acl2-doc-major-topics.html">Major Topics</a>.
<pre>
<A HREF="#Signs">Signs</A> <A HREF="#A">A</A> <A HREF="#B">B</A> <A HREF="#C">C</A> <A HREF="#D">D</A> <A HREF="#E">E</A> <A HREF="#F">F</A> <A HREF="#G">G</A> <A HREF="#H">H</A> <A HREF="#I">I</A> J <A HREF="#K">K</A> <A HREF="#L">L</A> <A HREF="#M">M</A> <A HREF="#N">N</A> <A HREF="#O">O</A> <A HREF="#P">P</A> <A HREF="#Q">Q</A> <A HREF="#R">R</A> <A HREF="#S">S</A> <A HREF="#T">T</A> <A HREF="#U">U</A> <A HREF="#V">V</A> <A HREF="#W">W</A> <A HREF="#X">X</A> <A HREF="#Y">Y</A> <A HREF="#Z">Z</A> <A HREF="#ACL2-PC::">ACL2-PC::</A> 

</pre>
<BR><BR><H1><A NAME="Signs">Signs</A></H1>
<b><a href="_star_.html">*</a> -- multiplication macro
</b><br><br>

<b><a href="_star_STANDARD-CI_star_.html">*STANDARD-CI*</a> -- an ACL2 character-based analogue of CLTL's <code>*standard-input*</code>
</b><br><br>

<b><a href="_star_STANDARD-CO_star_.html">*STANDARD-CO*</a> -- the ACL2 analogue of CLTL's <code>*standard-output*</code>
</b><br><br>

<b><a href="_star_STANDARD-OI_star_.html">*STANDARD-OI*</a> -- an ACL2 object-based analogue of CLTL's <code>*standard-input*</code>
</b><br><br>

<b><a href="_star_TERMINAL-MARKUP-TABLE_star_.html">*TERMINAL-MARKUP-TABLE*</a> -- a <a href="MARKUP.html">markup</a> table used for printing to the terminal
</b><br><br>

<b><a href="+.html">+</a> -- addition macro
</b><br><br>

<b><a href="_hyphen_.html">-</a> -- macro for subtraction and negation
</b><br><br>

<b><a href="_slash_.html">/</a> -- macro for division and reciprocal
</b><br><br>

<b><a href="_slash_=.html">/=</a> -- test inequality of two numbers
</b><br><br>

<b><a href="1+.html">1+</a> -- increment by 1
</b><br><br>

<b><a href="1-.html">1-</a> -- decrement by 1
</b><br><br>

<b><a href="_lt_.html">&lt;</a> -- less-than
</b><br><br>

<b><a href="_lt_=.html">&lt;=</a> -- less-than-or-equal test
</b><br><br>

<b><a href="=.html">=</a> -- test equality of two numbers
</b><br><br>

<b><a href="_gt_.html">&gt;</a> -- greater-than test
</b><br><br>

<b><a href="_gt_=.html">&gt;=</a> -- greater-than-or-equal test
</b><br><br>

<b><a href="_at_.html">@</a> -- get the value of a global variable in <code><a href="STATE.html">state</a></code>
</b><br><br>


<BR><BR><H1><A NAME="A">A</A></H1>
<b><a href="A_Flying_Tour_of_ACL2.html">A Flying Tour of ACL2</a> -- A Flying Tour of ACL2
</b><br><br>

<b><a href="A_Sketch_of_How_the_Rewriter_Works.html">A Sketch of How the Rewriter Works</a> -- A Sketch of How the Rewriter Works
</b><br><br>

<b><a href="A_Tiny_Warning_Sign.html">A Tiny Warning Sign</a> -- A Tiny Warning Sign
</b><br><br>

<b><a href="A_Trivial_Proof.html">A Trivial Proof</a> -- A Trivial Proof
</b><br><br>

<b><a href="A_Typical_State.html">A Typical State</a> -- A Typical State
</b><br><br>

<b><a href="A_Walking_Tour_of_ACL2.html">A Walking Tour of ACL2</a> -- A Walking Tour of ACL2
</b><br><br>

<b><a href="ABORT_bang_.html">ABORT!</a> -- to return to the top-level of ACL2's command loop
</b><br><br>

<b><a href="ABS.html">ABS</a> -- the absolute value of a real number
</b><br><br>

<b><a href="ACCUMULATED-PERSISTENCE.html">ACCUMULATED-PERSISTENCE</a> -- to get statistics on which <a href="RUNE.html">rune</a>s are being tried
</b><br><br>

<b><a href="ACKNOWLEDGMENTS.html">ACKNOWLEDGMENTS</a> -- some contributors to the well-being of ACL2
</b><br><br>

<b><a href="ACL2_Characters.html">ACL2 Characters</a> -- ACL2 Characters
</b><br><br>

<b><a href="ACL2_Conses_or_Ordered_Pairs.html">ACL2 Conses or Ordered Pairs</a> -- ACL2 Conses or Ordered Pairs
</b><br><br>

<b><a href="ACL2_Strings.html">ACL2 Strings</a> -- ACL2 Strings
</b><br><br>

<b><a href="ACL2_Symbols.html">ACL2 Symbols</a> -- ACL2 Symbols
</b><br><br>

<b><a href="ACL2_System_Architecture.html">ACL2 System Architecture</a> -- ACL2 System Architecture
</b><br><br>

<b><a href="ACL2_as_an_Interactive_Theorem_Prover.html">ACL2 as an Interactive Theorem Prover</a> -- ACL2 as an Interactive Theorem Prover
</b><br><br>

<b><a href="ACL2_as_an_Interactive_Theorem_Prover__lparen_cont_rparen_.html">ACL2 as an Interactive Theorem Prover (cont)</a> -- ACL2 as an Interactive Theorem Prover (cont)
</b><br><br>

<b><a href="ACL2_is_an_Untyped_Language.html">ACL2 is an Untyped Language</a> -- ACL2 is an Untyped Language
</b><br><br>

<b><a href="ACL2-COUNT.html">ACL2-COUNT</a> -- a commonly used measure for justifying recursion
</b><br><br>

<b><a href="ACL2-CUSTOMIZATION.html">ACL2-CUSTOMIZATION</a> -- file of initial commands for ACL2 to run at <a href="STARTUP.html">startup</a>
</b><br><br>

<b><a href="ACL2-DEFAULTS-TABLE.html">ACL2-DEFAULTS-TABLE</a> -- a <a href="TABLE.html">table</a> specifying certain defaults, e.g., the default <a href="DEFUN-MODE.html">defun-mode</a>
</b><br><br>

<b><a href="ACL2-HELP.html">ACL2-HELP</a> -- the acl2-help mailing list
</b><br><br>

<b><a href="ACL2-NUMBERP.html">ACL2-NUMBERP</a> -- recognizer for numbers
</b><br><br>

<b><a href="ACL2-TUTORIAL.html">ACL2-TUTORIAL</a> -- tutorial introduction to ACL2
</b><br><br>

<b><a href="ACL2-USER.html">ACL2-USER</a> -- a package the ACL2 user may prefer
</b><br><br>

<b><a href="ACONS.html">ACONS</a> -- constructor for association lists
</b><br><br>

<b><a href="ACTIVE-RUNEP.html">ACTIVE-RUNEP</a> -- check that a <a href="RUNE.html">rune</a> exists and is <a href="ENABLE.html">enable</a>d
</b><br><br>

<b><a href="ADD-BINOP.html">ADD-BINOP</a> -- associate a binary function name with a macro name
</b><br><br>

<b><a href="ADD-DEFAULT-HINTS.html">ADD-DEFAULT-HINTS</a> -- add to the default hints
</b><br><br>

<b><a href="ADD-DEFAULT-HINTS_bang_.html">ADD-DEFAULT-HINTS!</a> -- add to the default hints non-<code><a href="LOCAL.html">local</a></code>ly
</b><br><br>

<b><a href="ADD-DIVE-INTO-MACRO.html">ADD-DIVE-INTO-MACRO</a> -- associate <a href="PROOF-CHECKER.html">proof-checker</a> diving function with macro name
</b><br><br>

<b><a href="ADD-INCLUDE-BOOK-DIR.html">ADD-INCLUDE-BOOK-DIR</a> -- associate directory to keyword for <code><a href="INCLUDE-BOOK.html">include-book</a></code>'s <code>:dir</code> argument
</b><br><br>

<b><a href="ADD-INVISIBLE-FNS.html">ADD-INVISIBLE-FNS</a> -- make some unary functions invisible to the <a href="LOOP-STOPPER.html">loop-stopper</a> algorithm
</b><br><br>

<b><a href="ADD-MACRO-ALIAS.html">ADD-MACRO-ALIAS</a> -- associate a function name with a macro name
</b><br><br>

<b><a href="ADD-MATCH-FREE-OVERRIDE.html">ADD-MATCH-FREE-OVERRIDE</a> -- set <code>:match-free</code> value to <code>:once</code> or <code>:all</code> in existing rules
</b><br><br>

<b><a href="ADD-NTH-ALIAS.html">ADD-NTH-ALIAS</a> -- associate one symbol with another for printing of <code><a href="NTH.html">nth</a></code>/<code><a href="UPDATE-NTH.html">update-nth</a></code> terms
</b><br><br>

<b><a href="ADD-RAW-ARITY.html">ADD-RAW-ARITY</a> -- add arity information for raw mode
</b><br><br>

<b><a href="ADD-TO-SET-EQ.html">ADD-TO-SET-EQ</a> -- add a symbol to a list
</b><br><br>

<b><a href="ADD-TO-SET-EQL.html">ADD-TO-SET-EQL</a> -- add an object to a list
</b><br><br>

<b><a href="ADD-TO-SET-EQUAL.html">ADD-TO-SET-EQUAL</a> -- add an object to a list
</b><br><br>

<b><a href="ALISTP.html">ALISTP</a> -- recognizer for association lists
</b><br><br>

<b><a href="ALLOCATE-FIXNUM-RANGE.html">ALLOCATE-FIXNUM-RANGE</a> -- set aside fixnums in GCL
</b><br><br>

<b><a href="ALPHA-CHAR-P.html">ALPHA-CHAR-P</a> -- recognizer for alphabetic characters
</b><br><br>

<b><a href="ALPHORDER.html">ALPHORDER</a> -- total order on atoms
</b><br><br>

<b><a href="AND.html">AND</a> -- conjunction
</b><br><br>

<b><a href="APPEND.html">APPEND</a> -- <a href="CONCATENATE.html">concatenate</a> two or more lists
</b><br><br>

<b><a href="APROPOS.html">APROPOS</a> -- searching <code>:</code><code><a href="DOC.html">doc</a></code> and <code>:</code><code><a href="MORE-DOC.html">more-doc</a></code> text
</b><br><br>

<b><a href="AREF1.html">AREF1</a> -- access the elements of a 1-dimensional array
</b><br><br>

<b><a href="AREF2.html">AREF2</a> -- access the elements of a 2-dimensional array
</b><br><br>

<b><a href="ARGS.html">ARGS</a> -- <code>args</code>, <code><a href="GUARD.html">guard</a></code>, <code>type</code>, <code><a href="CONSTRAINT.html">constraint</a></code>, etc., of a function symbol
</b><br><br>

<b><a href="ARRAY1P.html">ARRAY1P</a> -- recognize a 1-dimensional array
</b><br><br>

<b><a href="ARRAY2P.html">ARRAY2P</a> -- recognize a 2-dimensional array
</b><br><br>

<b><a href="ARRAYS.html">ARRAYS</a> -- an introduction to ACL2 arrays
</b><br><br>

<b><a href="ARRAYS-EXAMPLE.html">ARRAYS-EXAMPLE</a> -- an example illustrating ACL2 arrays
</b><br><br>

<b><a href="ASET1.html">ASET1</a> -- set the elements of a 1-dimensional array
</b><br><br>

<b><a href="ASET2.html">ASET2</a> -- set the elements of a 2-dimensional array
</b><br><br>

<b><a href="ASH.html">ASH</a> -- arithmetic shift operation
</b><br><br>

<b><a href="ASSERT$.html">ASSERT$</a> -- cause a hard error if the given test is false
</b><br><br>

<b><a href="ASSERT-EVENT.html">ASSERT-EVENT</a> -- assert that a given form returns a non-<code>nil</code> value
</b><br><br>

<b><a href="ASSIGN.html">ASSIGN</a> -- assign to a global variable in <code><a href="STATE.html">state</a></code>
</b><br><br>

<b><a href="ASSOC.html">ASSOC</a> -- look up key in association list, using <code><a href="EQL.html">eql</a></code> as test
</b><br><br>

<b><a href="ASSOC-EQ.html">ASSOC-EQ</a> -- look up key in association list, using <code><a href="EQ.html">eq</a></code> as test
</b><br><br>

<b><a href="ASSOC-EQUAL.html">ASSOC-EQUAL</a> -- look up key in association list
</b><br><br>

<b><a href="ASSOC-KEYWORD.html">ASSOC-KEYWORD</a> -- look up key in a <code><a href="KEYWORD-VALUE-LISTP.html">keyword-value-listp</a></code>
</b><br><br>

<b><a href="ASSOC-STRING-EQUAL.html">ASSOC-STRING-EQUAL</a> -- look up key, a string, in association list
</b><br><br>

<b><a href="ATOM.html">ATOM</a> -- recognizer for atoms
</b><br><br>

<b><a href="ATOM-LISTP.html">ATOM-LISTP</a> -- recognizer for a true list of <a href="ATOM.html">atom</a>s
</b><br><br>

<b><a href="About_Models.html">About Models</a> -- About Models
</b><br><br>

<b><a href="About_Types.html">About Types</a> -- About Types
</b><br><br>

<b><a href="About_the_ACL2_Home_Page.html">About the ACL2 Home Page</a> -- About the ACL2 Home Page
</b><br><br>

<b><a href="About_the_Admission_of_Recursive_Definitions.html">About the Admission of Recursive Definitions</a> -- About the Admission of Recursive Definitions
</b><br><br>

<b><a href="About_the_Prompt.html">About the Prompt</a> -- About the Prompt
</b><br><br>

<b><a href="An_Example_Common_Lisp_Function_Definition.html">An Example Common Lisp Function Definition</a> -- An Example Common Lisp Function Definition
</b><br><br>

<b><a href="An_Example_of_ACL2_in_Use.html">An Example of ACL2 in Use</a> -- An Example of ACL2 in Use
</b><br><br>

<b><a href="Analyzing_Common_Lisp_Models.html">Analyzing Common Lisp Models</a> -- Analyzing Common Lisp Models
</b><br><br>


<BR><BR><H1><A NAME="B">B</A></H1>
<b><a href="BACKCHAIN-LIMIT.html">BACKCHAIN-LIMIT</a> -- limiting the effort expended on relieving hypotheses
</b><br><br>

<b><a href="BDD.html">BDD</a> -- ordered binary decision diagrams with rewriting
</b><br><br>

<b><a href="BDD-ALGORITHM.html">BDD-ALGORITHM</a> -- summary of the BDD algorithm in ACL2
</b><br><br>

<b><a href="BDD-INTRODUCTION.html">BDD-INTRODUCTION</a> -- examples illustrating the use of BDDs in ACL2
</b><br><br>

<b><a href="BIBLIOGRAPHY.html">BIBLIOGRAPHY</a> -- reports about ACL2
</b><br><br>

<b><a href="BINARY-_star_.html">BINARY-*</a> -- multiplication function
</b><br><br>

<b><a href="BINARY-+.html">BINARY-+</a> -- addition function
</b><br><br>

<b><a href="BINARY-APPEND.html">BINARY-APPEND</a> -- <a href="CONCATENATE.html">concatenate</a> two lists
</b><br><br>

<b><a href="BIND-FREE.html">BIND-FREE</a> -- to bind free variables of a rewrite or linear rule
</b><br><br>

<b><a href="BIND-FREE-EXAMPLES.html">BIND-FREE-EXAMPLES</a> -- examples pertaining to <code><a href="BIND-FREE.html">bind-free</a></code> hypotheses
</b><br><br>

<b><a href="BINOP-TABLE.html">BINOP-TABLE</a> -- associates binary function with the corresponding macro
</b><br><br>

<b><a href="BOOK-CONTENTS.html">BOOK-CONTENTS</a> -- restrictions on the forms inside <a href="BOOKS.html">books</a>
</b><br><br>

<b><a href="BOOK-EXAMPLE.html">BOOK-EXAMPLE</a> -- how to create, certify, and use a simple book
</b><br><br>

<b><a href="BOOK-MAKEFILES.html">BOOK-MAKEFILES</a> -- makefile support provided with the ACL2 distribution
</b><br><br>

<b><a href="BOOK-NAME.html">BOOK-NAME</a> -- conventions associated with book names
</b><br><br>

<b><a href="BOOKS.html">BOOKS</a> -- files of ACL2 event forms
</b><br><br>

<b><a href="BOOLEANP.html">BOOLEANP</a> -- recognizer for booleans
</b><br><br>

<b><a href="BREAK-LEMMA.html">BREAK-LEMMA</a> -- a quick introduction to breaking rewrite rules in ACL2
</b><br><br>

<b><a href="BREAK-ON-ERROR.html">BREAK-ON-ERROR</a> -- break when encountering a hard or soft error caused by ACL2.
</b><br><br>

<b><a href="BREAK-REWRITE.html">BREAK-REWRITE</a> -- the read-eval-print loop entered to <a href="MONITOR.html">monitor</a> rewrite rules
</b><br><br>

<b><a href="BREAKS.html">BREAKS</a> -- Common Lisp breaks
</b><br><br>

<b><a href="BRR.html">BRR</a> -- to enable or disable the breaking of rewrite rules
</b><br><br>

<b><a href="BRR-COMMANDS.html">BRR-COMMANDS</a> -- <a href="BREAK-REWRITE.html">Break-Rewrite</a> Commands
</b><br><br>

<b><a href="BRR_at_.html">BRR@</a> -- to access context sensitive information within <code><a href="BREAK-REWRITE.html">break-rewrite</a></code>
</b><br><br>

<b><a href="BUILT-IN-CLAUSES.html">BUILT-IN-CLAUSES</a> -- to build a clause into the simplifier
</b><br><br>

<b><a href="BUTLAST.html">BUTLAST</a> -- all but a final segment of a list
</b><br><br>

<b><a href="BY.html">BY</a> -- hints keyword <code>:BY</code>
</b><br><br>


<BR><BR><H1><A NAME="C">C</A></H1>
<b><a href="CAAAAR.html">CAAAAR</a> -- <code><a href="CAR.html">car</a></code> of the <code><a href="CAAAR.html">caaar</a></code>
</b><br><br>

<b><a href="CAAADR.html">CAAADR</a> -- <code><a href="CAR.html">car</a></code> of the <code><a href="CAADR.html">caadr</a></code>
</b><br><br>

<b><a href="CAAAR.html">CAAAR</a> -- <code><a href="CAR.html">car</a></code> of the <code><a href="CAAR.html">caar</a></code>
</b><br><br>

<b><a href="CAADAR.html">CAADAR</a> -- <code><a href="CAR.html">car</a></code> of the <code><a href="CADAR.html">cadar</a></code>
</b><br><br>

<b><a href="CAADDR.html">CAADDR</a> -- <code><a href="CAR.html">car</a></code> of the <code><a href="CADDR.html">caddr</a></code>
</b><br><br>

<b><a href="CAADR.html">CAADR</a> -- <code><a href="CAR.html">car</a></code> of the <code><a href="CADR.html">cadr</a></code>
</b><br><br>

<b><a href="CAAR.html">CAAR</a> -- <code><a href="CAR.html">car</a></code> of the <code><a href="CAR.html">car</a></code>
</b><br><br>

<b><a href="CADAAR.html">CADAAR</a> -- <code><a href="CAR.html">car</a></code> of the <code><a href="CDAAR.html">cdaar</a></code>
</b><br><br>

<b><a href="CADADR.html">CADADR</a> -- <code><a href="CAR.html">car</a></code> of the <code><a href="CDADR.html">cdadr</a></code>
</b><br><br>

<b><a href="CADAR.html">CADAR</a> -- <code><a href="CAR.html">car</a></code> of the <code><a href="CDAR.html">cdar</a></code>
</b><br><br>

<b><a href="CADDAR.html">CADDAR</a> -- <code><a href="CAR.html">car</a></code> of the <code><a href="CDDAR.html">cddar</a></code>
</b><br><br>

<b><a href="CADDDR.html">CADDDR</a> -- <code><a href="CAR.html">car</a></code> of the <code><a href="CDDDR.html">cdddr</a></code>
</b><br><br>

<b><a href="CADDR.html">CADDR</a> -- <code><a href="CAR.html">car</a></code> of the <code><a href="CDDR.html">cddr</a></code>
</b><br><br>

<b><a href="CADR.html">CADR</a> -- <code><a href="CAR.html">car</a></code> of the <code><a href="CDR.html">cdr</a></code>
</b><br><br>

<b><a href="CAR.html">CAR</a> -- returns the first element of a non-empty list, else <code>nil</code>
</b><br><br>

<b><a href="CASE.html">CASE</a> -- conditional based on if-then-else using <code><a href="EQL.html">eql</a></code>
</b><br><br>

<b><a href="CASE-MATCH.html">CASE-MATCH</a> -- pattern matching or destructuring
</b><br><br>

<b><a href="CASE-SPLIT.html">CASE-SPLIT</a> -- like force but immediately splits the top-level goal on the hypothesis
</b><br><br>

<b><a href="CASE-SPLIT-LIMITATIONS.html">CASE-SPLIT-LIMITATIONS</a> -- a list of two ``numbers'' limiting the number of cases produced at once
</b><br><br>

<b><a href="CASES.html">CASES</a> -- hints keyword <code>:CASES</code>
</b><br><br>

<b><a href="CBD.html">CBD</a> -- connected book directory string
</b><br><br>

<b><a href="CDAAAR.html">CDAAAR</a> -- <code><a href="CDR.html">cdr</a></code> of the <code><a href="CAAAR.html">caaar</a></code>
</b><br><br>

<b><a href="CDAADR.html">CDAADR</a> -- <code><a href="CDR.html">cdr</a></code> of the <code><a href="CAADR.html">caadr</a></code>
</b><br><br>

<b><a href="CDAAR.html">CDAAR</a> -- <code><a href="CDR.html">cdr</a></code> of the <code><a href="CAAR.html">caar</a></code>
</b><br><br>

<b><a href="CDADAR.html">CDADAR</a> -- <code><a href="CDR.html">cdr</a></code> of the <code><a href="CADAR.html">cadar</a></code>
</b><br><br>

<b><a href="CDADDR.html">CDADDR</a> -- <code><a href="CDR.html">cdr</a></code> of the <code><a href="CADDR.html">caddr</a></code>
</b><br><br>

<b><a href="CDADR.html">CDADR</a> -- <code><a href="CDR.html">cdr</a></code> of the <code><a href="CADR.html">cadr</a></code>
</b><br><br>

<b><a href="CDAR.html">CDAR</a> -- <code><a href="CDR.html">cdr</a></code> of the <code><a href="CAR.html">car</a></code>
</b><br><br>

<b><a href="CDDAAR.html">CDDAAR</a> -- <code><a href="CDR.html">cdr</a></code> of the <code><a href="CDAAR.html">cdaar</a></code>
</b><br><br>

<b><a href="CDDADR.html">CDDADR</a> -- <code><a href="CDR.html">cdr</a></code> of the <code><a href="CDADR.html">cdadr</a></code>
</b><br><br>

<b><a href="CDDAR.html">CDDAR</a> -- <code><a href="CDR.html">cdr</a></code> of the <code><a href="CDAR.html">cdar</a></code>
</b><br><br>

<b><a href="CDDDAR.html">CDDDAR</a> -- <code><a href="CDR.html">cdr</a></code> of the <code><a href="CDDAR.html">cddar</a></code>
</b><br><br>

<b><a href="CDDDDR.html">CDDDDR</a> -- <code><a href="CDR.html">cdr</a></code> of the <code><a href="CDDDR.html">cdddr</a></code>
</b><br><br>

<b><a href="CDDDR.html">CDDDR</a> -- <code><a href="CDR.html">cdr</a></code> of the <code><a href="CDDR.html">cddr</a></code>
</b><br><br>

<b><a href="CDDR.html">CDDR</a> -- <code><a href="CDR.html">cdr</a></code> of the <code><a href="CDR.html">cdr</a></code>
</b><br><br>

<b><a href="CDR.html">CDR</a> -- returns the second element of a <code><a href="CONS.html">cons</a></code> pair, else <code>nil</code>
</b><br><br>

<b><a href="CEILING.html">CEILING</a> -- division returning an integer by truncating toward positive infinity
</b><br><br>

<b><a href="CERTIFICATE.html">CERTIFICATE</a> -- how a book is known to be admissible and where its <code><a href="DEFPKG.html">defpkg</a></code>s reside
</b><br><br>

<b><a href="CERTIFY-BOOK.html">CERTIFY-BOOK</a> -- how to produce a <a href="CERTIFICATE.html">certificate</a> for a book
</b><br><br>

<b><a href="CERTIFY-BOOK_bang_.html">CERTIFY-BOOK!</a> -- a variant of <code><a href="CERTIFY-BOOK.html">certify-book</a></code>
</b><br><br>

<b><a href="CHAR.html">CHAR</a> -- the <a href="NTH.html">nth</a> element (zero-based) of a string
</b><br><br>

<b><a href="CHAR-CODE.html">CHAR-CODE</a> -- the numeric code for a given character
</b><br><br>

<b><a href="CHAR-DOWNCASE.html">CHAR-DOWNCASE</a> -- turn upper-case <a href="CHARACTERS.html">characters</a> into lower-case <a href="CHARACTERS.html">characters</a>
</b><br><br>

<b><a href="CHAR-EQUAL.html">CHAR-EQUAL</a> -- character equality without regard to case
</b><br><br>

<b><a href="CHAR-UPCASE.html">CHAR-UPCASE</a> -- turn lower-case <a href="CHARACTERS.html">characters</a> into upper-case <a href="CHARACTERS.html">characters</a>
</b><br><br>

<b><a href="CHAR_lt_.html">CHAR&lt;</a> -- less-than test for <a href="CHARACTERS.html">characters</a>
</b><br><br>

<b><a href="CHAR_lt_=.html">CHAR&lt;=</a> -- less-than-or-equal test for <a href="CHARACTERS.html">characters</a>
</b><br><br>

<b><a href="CHAR_gt_.html">CHAR&gt;</a> -- greater-than test for <a href="CHARACTERS.html">characters</a>
</b><br><br>

<b><a href="CHAR_gt_=.html">CHAR&gt;=</a> -- greater-than-or-equal test for <a href="CHARACTERS.html">characters</a>
</b><br><br>

<b><a href="CHARACTER-LISTP.html">CHARACTER-LISTP</a> -- recognizer for a true list of characters
</b><br><br>

<b><a href="CHARACTERP.html">CHARACTERP</a> -- recognizer for <a href="CHARACTERS.html">characters</a>
</b><br><br>

<b><a href="CHARACTERS.html">CHARACTERS</a> -- characters in ACL2
</b><br><br>

<b><a href="CHECK-SUM.html">CHECK-SUM</a> -- assigning ``often unique'' integers to files and objects
</b><br><br>

<b><a href="CHECKPOINT-FORCED-GOALS.html">CHECKPOINT-FORCED-GOALS</a> -- Cause forcing goals to be checkpointed in proof trees
</b><br><br>

<b><a href="CLAUSE-IDENTIFIER.html">CLAUSE-IDENTIFIER</a> -- the internal form of a <a href="GOAL-SPEC.html">goal-spec</a>
</b><br><br>

<b><a href="CLOSE-INPUT-CHANNEL.html">CLOSE-INPUT-CHANNEL</a> -- See <a href="IO.html">io</a>.
</b><br><br>

<b><a href="CLOSE-OUTPUT-CHANNEL.html">CLOSE-OUTPUT-CHANNEL</a> -- See <a href="IO.html">io</a>.
</b><br><br>

<b><a href="CLOSE-TRACE-FILE.html">CLOSE-TRACE-FILE</a> -- stop redirecting trace output to a file
</b><br><br>

<b><a href="CODE-CHAR.html">CODE-CHAR</a> -- the character corresponding to a given numeric code
</b><br><br>

<b><a href="COERCE.html">COERCE</a> -- coerce a character list to a string and a string to a list
</b><br><br>

<b><a href="COMMAND.html">COMMAND</a> -- forms you type at the top-level, but...
</b><br><br>

<b><a href="COMMAND-DESCRIPTOR.html">COMMAND-DESCRIPTOR</a> -- an object describing a particular <a href="COMMAND.html">command</a> typed by the user
</b><br><br>

<b><a href="COMP.html">COMP</a> -- compile some ACL2 functions
</b><br><br>

<b><a href="COMP-GCL.html">COMP-GCL</a> -- compile some ACL2 functions leaving .c and .h files
</b><br><br>

<b><a href="COMPILATION.html">COMPILATION</a> -- compiling ACL2 functions
</b><br><br>

<b><a href="COMPLEX.html">COMPLEX</a> -- create an ACL2 number
</b><br><br>

<b><a href="COMPLEX-RATIONALP.html">COMPLEX-RATIONALP</a> -- recognizes complex rational numbers
</b><br><br>

<b><a href="COMPLEX_slash_COMPLEX-RATIONALP.html">COMPLEX/COMPLEX-RATIONALP</a> -- recognizer for complex numbers
</b><br><br>

<b><a href="COMPOUND-RECOGNIZER.html">COMPOUND-RECOGNIZER</a> -- make a rule used by the typing mechanism
</b><br><br>

<b><a href="COMPRESS1.html">COMPRESS1</a> -- remove irrelevant pairs from a 1-dimensional array
</b><br><br>

<b><a href="COMPRESS2.html">COMPRESS2</a> -- remove irrelevant pairs from a 2-dimensional array
</b><br><br>

<b><a href="COMPUTED-HINTS.html">COMPUTED-HINTS</a> -- computing advice to the theorem proving process
</b><br><br>

<b><a href="CONCATENATE.html">CONCATENATE</a> -- concatenate lists or strings together
</b><br><br>

<b><a href="COND.html">COND</a> -- conditional based on if-then-else
</b><br><br>

<b><a href="CONGRUENCE.html">CONGRUENCE</a> -- the relations to maintain while simplifying arguments
</b><br><br>

<b><a href="CONJUGATE.html">CONJUGATE</a> -- complex number conjugate
</b><br><br>

<b><a href="CONS.html">CONS</a> -- pair and list constructor
</b><br><br>

<b><a href="CONSERVATIVITY-OF-DEFCHOOSE.html">CONSERVATIVITY-OF-DEFCHOOSE</a> -- proof of conservativity of <code><a href="DEFCHOOSE.html">defchoose</a></code>
</b><br><br>

<b><a href="CONSP.html">CONSP</a> -- recognizer for <a href="CONS.html">cons</a> pairs
</b><br><br>

<b><a href="CONSTRAINT.html">CONSTRAINT</a> -- restrictions on certain functions introduced in <code><a href="ENCAPSULATE.html">encapsulate</a></code> <a href="EVENTS.html">events</a>
</b><br><br>

<b><a href="COPYRIGHT.html">COPYRIGHT</a> -- ACL2 copyright, license, sponsorship
</b><br><br>

<b><a href="COROLLARY.html">COROLLARY</a> -- the corollary formula of a <a href="RUNE.html">rune</a>
</b><br><br>

<b><a href="CURRENT-PACKAGE.html">CURRENT-PACKAGE</a> -- the package used for reading and printing
</b><br><br>

<b><a href="CURRENT-THEORY.html">CURRENT-THEORY</a> -- currently <a href="ENABLE.html">enable</a>d rules as of logical name
</b><br><br>

<b><a href="CW.html">CW</a> -- print to the comment window
</b><br><br>

<b><a href="CW-GSTACK.html">CW-GSTACK</a> -- debug a rewriting loop or stack overflow
</b><br><br>

<b><a href="Common_Lisp.html">Common Lisp</a> -- Common Lisp
</b><br><br>

<b><a href="Common_Lisp_as_a_Modeling_Language.html">Common Lisp as a Modeling Language</a> -- Common Lisp as a Modeling Language
</b><br><br>

<b><a href="Conversion.html">Conversion</a> -- Conversion to Uppercase
</b><br><br>

<b><a href="Corroborating_Models.html">Corroborating Models</a> -- Corroborating Models
</b><br><br>


<BR><BR><H1><A NAME="D">D</A></H1>
<b><a href="DECLARE.html">DECLARE</a> -- declarations
</b><br><br>

<b><a href="DECLARE-STOBJS.html">DECLARE-STOBJS</a> -- declaring a formal parameter name to be a single-threaded object
</b><br><br>

<b><a href="DEFABBREV.html">DEFABBREV</a> -- a convenient form of macro definition for simple expansions
</b><br><br>

<b><a href="DEFAULT.html">DEFAULT</a> -- return the <code>:default</code> from the <a href="HEADER.html">header</a> of a 1- or 2-dimensional array
</b><br><br>

<b><a href="DEFAULT-BACKCHAIN-LIMIT.html">DEFAULT-BACKCHAIN-LIMIT</a> -- specifying the backchain limit for a rule
</b><br><br>

<b><a href="DEFAULT-DEFUN-MODE.html">DEFAULT-DEFUN-MODE</a> -- the default <a href="DEFUN-MODE.html">defun-mode</a> of <code><a href="DEFUN.html">defun</a></code>'d functions
</b><br><br>

<b><a href="DEFAULT-HINTS.html">DEFAULT-HINTS</a> -- a list of hints added to every proof attempt
</b><br><br>

<b><a href="DEFAULT-HINTS-TABLE.html">DEFAULT-HINTS-TABLE</a> -- a <a href="TABLE.html">table</a> used to provide <a href="HINTS.html">hints</a> for proofs
</b><br><br>

<b><a href="DEFAULT-PRINT-PROMPT.html">DEFAULT-PRINT-PROMPT</a> -- the default <a href="PROMPT.html">prompt</a> printed by <code><a href="LD.html">ld</a></code>
</b><br><br>

<b><a href="DEFAXIOM.html">DEFAXIOM</a> -- add an axiom
</b><br><br>

<b><a href="DEFCHOOSE.html">DEFCHOOSE</a> -- define a Skolem (witnessing) function
</b><br><br>

<b><a href="DEFCONG.html">DEFCONG</a> -- prove that one <a href="EQUIVALENCE.html">equivalence</a> relation preserves another in a given
<br><code>  </code> argument position of a given function
</b><br><br>

<b><a href="DEFCONST.html">DEFCONST</a> -- define a constant
</b><br><br>

<b><a href="DEFDOC.html">DEFDOC</a> -- add a <a href="DOCUMENTATION.html">documentation</a> topic
</b><br><br>

<b><a href="DEFEQUIV.html">DEFEQUIV</a> -- prove that a function is an <a href="EQUIVALENCE.html">equivalence</a> relation
</b><br><br>

<b><a href="DEFEVALUATOR.html">DEFEVALUATOR</a> -- introduce an evaluator function
</b><br><br>

<b><a href="DEFEXEC.html">DEFEXEC</a> -- attach a terminating executable function to a definition
</b><br><br>

<b><a href="DEFINE-PC-HELP.html">DEFINE-PC-HELP</a> -- define a macro command whose purpose is to print something
</b><br><br>

<b><a href="DEFINE-PC-MACRO.html">DEFINE-PC-MACRO</a> -- define a proof-checker macro command
</b><br><br>

<b><a href="DEFINE-PC-META.html">DEFINE-PC-META</a> -- define a proof-checker meta command
</b><br><br>

<b><a href="DEFINITION.html">DEFINITION</a> -- make a rule that acts like a function definition
</b><br><br>

<b><a href="DEFLABEL.html">DEFLABEL</a> -- build a landmark and/or add a <a href="DOCUMENTATION.html">documentation</a> topic
</b><br><br>

<b><a href="DEFMACRO.html">DEFMACRO</a> -- define a macro
</b><br><br>

<b><a href="DEFPKG.html">DEFPKG</a> -- define a new symbol package
</b><br><br>

<b><a href="DEFREFINEMENT.html">DEFREFINEMENT</a> -- prove that <code>equiv1</code> refines <code>equiv2</code>
</b><br><br>

<b><a href="DEFSTOBJ.html">DEFSTOBJ</a> -- define a new single-threaded object 
</b><br><br>

<b><a href="DEFSTUB.html">DEFSTUB</a> -- stub-out a function symbol
</b><br><br>

<b><a href="DEFTHEORY.html">DEFTHEORY</a> -- define a theory (to <a href="ENABLE.html">enable</a> or <a href="DISABLE.html">disable</a> a set of rules)
</b><br><br>

<b><a href="DEFTHM.html">DEFTHM</a> -- prove and name a theorem
</b><br><br>

<b><a href="DEFTHMD.html">DEFTHMD</a> -- prove and name a theorem and then disable it
</b><br><br>

<b><a href="DEFTTAG.html">DEFTTAG</a> -- introduce a trust tag (ttag)
</b><br><br>

<b><a href="DEFUN.html">DEFUN</a> -- define a function symbol
</b><br><br>

<b><a href="DEFUN-MODE.html">DEFUN-MODE</a> -- determines whether a function definition is a logical act
</b><br><br>

<b><a href="DEFUN-MODE-CAVEAT.html">DEFUN-MODE-CAVEAT</a> -- functions with <a href="DEFUN-MODE.html">defun-mode</a> of <code>:</code><code><a href="PROGRAM.html">program</a></code> considered unsound
</b><br><br>

<b><a href="DEFUN-SK.html">DEFUN-SK</a> -- define a function whose body has an outermost quantifier
</b><br><br>

<b><a href="DEFUN-SK-EXAMPLE.html">DEFUN-SK-EXAMPLE</a> -- a simple example using <code><a href="DEFUN-SK.html">defun-sk</a></code>
</b><br><br>

<b><a href="DEFUND.html">DEFUND</a> -- define a function symbol and then disable it
</b><br><br>

<b><a href="DEFUNS.html">DEFUNS</a> -- an alternative to <code><a href="MUTUAL-RECURSION.html">mutual-recursion</a></code>
</b><br><br>

<b><a href="DELETE-INCLUDE-BOOK-DIR.html">DELETE-INCLUDE-BOOK-DIR</a> -- remove association of keyword for <code><a href="INCLUDE-BOOK.html">include-book</a></code>'s <code>:dir</code> argument
</b><br><br>

<b><a href="DENOMINATOR.html">DENOMINATOR</a> -- divisor of a ratio in lowest terms
</b><br><br>

<b><a href="DIGIT-CHAR-P.html">DIGIT-CHAR-P</a> -- the number, if any, corresponding to a given character
</b><br><br>

<b><a href="DIGIT-TO-CHAR.html">DIGIT-TO-CHAR</a> -- map a digit to a character
</b><br><br>

<b><a href="DIMENSIONS.html">DIMENSIONS</a> -- return the <code>:dimensions</code> from the <a href="HEADER.html">header</a> of a 1- or 2-dimensional array
</b><br><br>

<b><a href="DISABLE.html">DISABLE</a> -- deletes names from current theory
</b><br><br>

<b><a href="DISABLE-FORCING.html">DISABLE-FORCING</a> -- to disallow <code><a href="FORCE.html">force</a></code>d <code><a href="CASE-SPLIT.html">case-split</a></code>s
</b><br><br>

<b><a href="DISABLE-IMMEDIATE-FORCE-MODEP.html">DISABLE-IMMEDIATE-FORCE-MODEP</a> -- <a href="FORCE.html">force</a>d hypotheses are not attacked immediately
</b><br><br>

<b><a href="DISABLEDP.html">DISABLEDP</a> -- determine whether a given name or rune is disabled
</b><br><br>

<b><a href="DIVE-INTO-MACROS-TABLE.html">DIVE-INTO-MACROS-TABLE</a> -- right-associated function information for the <a href="PROOF-CHECKER.html">proof-checker</a>
</b><br><br>

<b><a href="DO-NOT.html">DO-NOT</a> -- hints keyword <code>:DO-NOT</code>
</b><br><br>

<b><a href="DO-NOT-INDUCT.html">DO-NOT-INDUCT</a> -- hints keyword <code>:DO-NOT-INDUCT</code>
</b><br><br>

<b><a href="DOC.html">DOC</a> -- brief <a href="DOCUMENTATION.html">documentation</a> (type <code>:doc name</code>)
</b><br><br>

<b><a href="DOC_bang_.html">DOC!</a> -- all the <a href="DOCUMENTATION.html">documentation</a> for a name (type <code>:doc! name</code>)
</b><br><br>

<b><a href="DOC-STRING.html">DOC-STRING</a> -- formatted <a href="DOCUMENTATION.html">documentation</a> strings
</b><br><br>

<b><a href="DOCS.html">DOCS</a> -- available <a href="DOCUMENTATION.html">documentation</a> topics (by section)
</b><br><br>

<b><a href="DOCUMENTATION.html">DOCUMENTATION</a> -- functions that display documentation at the terminal
</b><br><br>

<b><a href="DOUBLE-REWRITE.html">DOUBLE-REWRITE</a> -- cause a term to be rewritten twice
</b><br><br>


<BR><BR><H1><A NAME="E">E</A></H1>
<b><a href="E_slash_D.html">E/D</a> -- enable/disable rules
</b><br><br>

<b><a href="E0-ORD-_lt_.html">E0-ORD-&lt;</a> -- the old ordering function for ACL2 ordinals
</b><br><br>

<b><a href="E0-ORDINALP.html">E0-ORDINALP</a> -- the old recognizer for ACL2 ordinals
</b><br><br>

<b><a href="EIGHTH.html">EIGHTH</a> -- eighth member of the list
</b><br><br>

<b><a href="ELIM.html">ELIM</a> -- make a destructor elimination rule
</b><br><br>

<b><a href="EMBEDDED-EVENT-FORM.html">EMBEDDED-EVENT-FORM</a> -- forms that may be embedded in other <a href="EVENTS.html">events</a>
</b><br><br>

<b><a href="ENABLE.html">ENABLE</a> -- adds names to current theory
</b><br><br>

<b><a href="ENABLE-FORCING.html">ENABLE-FORCING</a> -- to allow <code><a href="FORCE.html">force</a></code>d <code><a href="CASE.html">split</a></code>s
</b><br><br>

<b><a href="ENABLE-IMMEDIATE-FORCE-MODEP.html">ENABLE-IMMEDIATE-FORCE-MODEP</a> -- <a href="FORCE.html">force</a>d hypotheses are attacked immediately
</b><br><br>

<b><a href="ENCAPSULATE.html">ENCAPSULATE</a> -- constrain some functions and/or hide some <a href="EVENTS.html">events</a>
</b><br><br>

<b><a href="ENDP.html">ENDP</a> -- recognizer for empty lists
</b><br><br>

<b><a href="ENTER-BOOT-STRAP-MODE.html">ENTER-BOOT-STRAP-MODE</a> -- The first millisecond of the Big Bang
</b><br><br>

<b><a href="EQ.html">EQ</a> -- equality of symbols
</b><br><br>

<b><a href="EQL.html">EQL</a> -- test equality (of two numbers, symbols, or <a href="CHARACTERS.html">characters</a>)
</b><br><br>

<b><a href="EQLABLE-ALISTP.html">EQLABLE-ALISTP</a> -- recognizer for a true list of pairs whose <code><a href="CAR.html">car</a></code>s are suitable for <code><a href="EQL.html">eql</a></code>
</b><br><br>

<b><a href="EQLABLE-LISTP.html">EQLABLE-LISTP</a> -- recognizer for a true list of objects each suitable for <code><a href="EQL.html">eql</a></code>
</b><br><br>

<b><a href="EQLABLEP.html">EQLABLEP</a> -- the <a href="GUARD.html">guard</a> for the function <code><a href="EQL.html">eql</a></code>
</b><br><br>

<b><a href="EQUAL.html">EQUAL</a> -- true equality
</b><br><br>

<b><a href="EQUIVALENCE.html">EQUIVALENCE</a> -- mark a relation as an equivalence relation
</b><br><br>

<b><a href="ER.html">ER</a> -- print an error message and ``cause an error''
</b><br><br>

<b><a href="ER-PROGN.html">ER-PROGN</a> -- perform a sequence of state-changing ``error triples''
</b><br><br>

<b><a href="ERROR1.html">ERROR1</a> -- print an error message and cause a ``soft error''
</b><br><br>

<b><a href="ESCAPE-TO-COMMON-LISP.html">ESCAPE-TO-COMMON-LISP</a> -- escaping to Common Lisp
</b><br><br>

<b><a href="EVENP.html">EVENP</a> -- test whether an integer is even
</b><br><br>

<b><a href="EVENTS.html">EVENTS</a> -- functions that extend the logic
</b><br><br>

<b><a href="EVISCERATE-HIDE-TERMS.html">EVISCERATE-HIDE-TERMS</a> -- to print <code>(hide ...)</code> as <code>&lt;hidden&gt;</code>
</b><br><br>

<b><a href="EXECUTABLE-COUNTERPART.html">EXECUTABLE-COUNTERPART</a> -- a rule for computing the value of a function
</b><br><br>

<b><a href="EXECUTABLE-COUNTERPART-THEORY.html">EXECUTABLE-COUNTERPART-THEORY</a> -- executable counterpart rules as of logical name
</b><br><br>

<b><a href="EXISTS.html">EXISTS</a> -- existential quantifier
</b><br><br>

<b><a href="EXIT.html">EXIT</a> -- quit entirely out of Lisp
</b><br><br>

<b><a href="EXIT-BOOT-STRAP-MODE.html">EXIT-BOOT-STRAP-MODE</a> -- the end of pre-history
</b><br><br>

<b><a href="EXPAND.html">EXPAND</a> -- hints keyword <code>:EXPAND</code>
</b><br><br>

<b><a href="EXPLODE-NONNEGATIVE-INTEGER.html">EXPLODE-NONNEGATIVE-INTEGER</a> -- the list of <a href="CHARACTERS.html">characters</a> in the radix-r form of a number
</b><br><br>

<b><a href="EXPT.html">EXPT</a> -- exponential function
</b><br><br>

<b><a href="EXTENDED-METAFUNCTIONS.html">EXTENDED-METAFUNCTIONS</a> -- state and context sensitive metafunctions
</b><br><br>

<b><a href="Evaluating_App_on_Sample_Input.html">Evaluating App on Sample Input</a> -- Evaluating App on Sample Input
</b><br><br>


<BR><BR><H1><A NAME="F">F</A></H1>
<b><a href="FAILED-FORCING.html">FAILED-FORCING</a> -- how to deal with a proof <a href="FAILURE.html">failure</a> in a forcing round
</b><br><br>

<b><a href="FAILURE.html">FAILURE</a> -- how to deal with a proof failure
</b><br><br>

<b><a href="FIFTH.html">FIFTH</a> -- fifth member of the list
</b><br><br>

<b><a href="FILE-READING-EXAMPLE.html">FILE-READING-EXAMPLE</a> -- example of reading files in ACL2
</b><br><br>

<b><a href="FIND-RULES-OF-RUNE.html">FIND-RULES-OF-RUNE</a> -- find the rules named rune
</b><br><br>

<b><a href="FIRST.html">FIRST</a> -- first member of the list
</b><br><br>

<b><a href="FIX.html">FIX</a> -- coerce to a number
</b><br><br>

<b><a href="FIX-TRUE-LIST.html">FIX-TRUE-LIST</a> -- coerce to a true list
</b><br><br>

<b><a href="FLOOR.html">FLOOR</a> -- division returning an integer by truncating toward negative infinity
</b><br><br>

<b><a href="FLUSH-COMPRESS.html">FLUSH-COMPRESS</a> -- flush the under-the-hood array for the given name
</b><br><br>

<b><a href="FMS.html">FMS</a> -- <code>:(str alist co-channel state evisc) =&gt; state</code>
</b><br><br>

<b><a href="FMS_bang_.html">FMS!</a> -- <code>:(str alist co-channel state evisc) =&gt; state</code>
</b><br><br>

<b><a href="FMT.html">FMT</a> -- formatted printing
</b><br><br>

<b><a href="FMT_bang_.html">FMT!</a> -- <code>:(str alist co-channel state evisc) =&gt; state</code>
</b><br><br>

<b><a href="FMT-TO-COMMENT-WINDOW.html">FMT-TO-COMMENT-WINDOW</a> -- print to the comment window
</b><br><br>

<b><a href="FMT1.html">FMT1</a> -- <code>:(str alist col co-channel state evisc) =&gt; (mv col state)</code>
</b><br><br>

<b><a href="FMT1_bang_.html">FMT1!</a> -- <code>:(str alist col channel state evisc) =&gt; (mv col state)</code>
</b><br><br>

<b><a href="FORALL.html">FORALL</a> -- universal quantifier
</b><br><br>

<b><a href="FORCE.html">FORCE</a> -- identity function used to force a hypothesis
</b><br><br>

<b><a href="FORCING-ROUND.html">FORCING-ROUND</a> -- a section of a proof dealing with <a href="FORCE.html">force</a>d assumptions
</b><br><br>

<b><a href="FORWARD-CHAINING.html">FORWARD-CHAINING</a> -- make a rule to forward chain when a certain trigger arises
</b><br><br>

<b><a href="FOURTH.html">FOURTH</a> -- fourth member of the list
</b><br><br>

<b><a href="FREE-VARIABLES.html">FREE-VARIABLES</a> -- free variables in rules
</b><br><br>

<b><a href="FREE-VARIABLES-EXAMPLES.html">FREE-VARIABLES-EXAMPLES</a> -- examples pertaining to free variables in rules
</b><br><br>

<b><a href="FREE-VARIABLES-EXAMPLES-FORWARD-CHAINING.html">FREE-VARIABLES-EXAMPLES-FORWARD-CHAINING</a> -- examples pertaining to free variables in <a href="FORWARD-CHAINING.html">forward-chaining</a> rules
</b><br><br>

<b><a href="FREE-VARIABLES-EXAMPLES-REWRITE.html">FREE-VARIABLES-EXAMPLES-REWRITE</a> -- examples pertaining to free variables in <a href="REWRITE.html">rewrite</a> rules
</b><br><br>

<b><a href="FULL-BOOK-NAME.html">FULL-BOOK-NAME</a> -- book naming conventions assumed by ACL2
</b><br><br>

<b><a href="FUNCTION-THEORY.html">FUNCTION-THEORY</a> -- function symbol rules as of logical name
</b><br><br>

<b><a href="FUNCTIONAL-INSTANTIATION-EXAMPLE.html">FUNCTIONAL-INSTANTIATION-EXAMPLE</a> -- a small proof demonstrating functional instantiation
</b><br><br>

<b><a href="Flawed_Induction_Candidates_in_App_Example.html">Flawed Induction Candidates in App Example</a> -- Flawed Induction Candidates in App Example
</b><br><br>

<b><a href="Free_Variables_in_Top-Level_Input.html">Free Variables in Top-Level Input</a> -- Free Variables in Top-Level Input
</b><br><br>

<b><a href="Functions_for_Manipulating_these_Objects.html">Functions for Manipulating these Objects</a> -- Functions for Manipulating these Objects
</b><br><br>


<BR><BR><H1><A NAME="G">G</A></H1>
<b><a href="GC$.html">GC$</a> -- invoke the garbage collector
</b><br><br>

<b><a href="GCL.html">GCL</a> -- tips on building and using ACL2 based on Gnu Common Lisp
</b><br><br>

<b><a href="GENERALIZE.html">GENERALIZE</a> -- make a rule to restrict generalizations
</b><br><br>

<b><a href="GENERALIZED-BOOLEANS.html">GENERALIZED-BOOLEANS</a> -- potential soundness issues related to ACL2 predicates
</b><br><br>

<b><a href="GETENV$.html">GETENV$</a> -- read an environment variable
</b><br><br>

<b><a href="GOAL-SPEC.html">GOAL-SPEC</a> -- to indicate where a hint is to be used
</b><br><br>

<b><a href="GOOD-BYE.html">GOOD-BYE</a> -- quit entirely out of Lisp
</b><br><br>

<b><a href="GROUND-ZERO.html">GROUND-ZERO</a> -- <a href="ENABLE.html">enable</a>d rules in the <a href="STARTUP.html">startup</a> theory
</b><br><br>

<b><a href="GUARD.html">GUARD</a> -- restricting the domain of a function
</b><br><br>

<b><a href="GUARD-EVALUATION-EXAMPLES-LOG.html">GUARD-EVALUATION-EXAMPLES-LOG</a> -- log showing combinations of <a href="DEFUN-MODE.html">defun-mode</a>s and <a href="GUARD.html">guard</a>-checking
</b><br><br>

<b><a href="GUARD-EVALUATION-EXAMPLES-SCRIPT.html">GUARD-EVALUATION-EXAMPLES-SCRIPT</a> -- a script to show combinations of <a href="DEFUN-MODE.html">defun-mode</a>s and <a href="GUARD.html">guard</a>-checking
</b><br><br>

<b><a href="GUARD-EVALUATION-TABLE.html">GUARD-EVALUATION-TABLE</a> -- a table that shows combinations of <a href="DEFUN-MODE.html">defun-mode</a>s and <a href="GUARD.html">guard</a>-checking
</b><br><br>

<b><a href="GUARD-EXAMPLE.html">GUARD-EXAMPLE</a> -- a brief transcript illustrating <a href="GUARD.html">guard</a>s in ACL2
</b><br><br>

<b><a href="GUARD-HINTS.html">GUARD-HINTS</a> -- xargs keyword <code>:GUARD-HINTS</code>
</b><br><br>

<b><a href="GUARD-INTRODUCTION.html">GUARD-INTRODUCTION</a> -- introduction to <a href="GUARD.html">guard</a>s in ACL2
</b><br><br>

<b><a href="GUARD-MISCELLANY.html">GUARD-MISCELLANY</a> -- miscellaneous remarks about guards
</b><br><br>

<b><a href="GUARD-QUICK-REFERENCE.html">GUARD-QUICK-REFERENCE</a> -- brief summary of guard checking and guard verification
</b><br><br>

<b><a href="GUARDS-AND-EVALUATION.html">GUARDS-AND-EVALUATION</a> -- the relationship between guards and evaluation
</b><br><br>

<b><a href="GUARDS-FOR-SPECIFICATION.html">GUARDS-FOR-SPECIFICATION</a> -- guards as a specification device
</b><br><br>

<b><a href="Guards.html">Guards</a> -- Guards
</b><br><br>

<b><a href="Guessing_the_Type_of_a_Newly_Admitted_Function.html">Guessing the Type of a Newly Admitted Function</a> -- Guessing the Type of a Newly Admitted Function
</b><br><br>

<b><a href="Guiding_the_ACL2_Theorem_Prover.html">Guiding the ACL2 Theorem Prover</a> -- Guiding the ACL2 Theorem Prover
</b><br><br>


<BR><BR><H1><A NAME="H">H</A></H1>
<b><a href="HANDS-OFF.html">HANDS-OFF</a> -- hints keyword <code>:HANDS-OFF</code>
</b><br><br>

<b><a href="HARD-ERROR.html">HARD-ERROR</a> -- print an error message and stop execution
</b><br><br>

<b><a href="HEADER.html">HEADER</a> -- return the header of a 1- or 2-dimensional array
</b><br><br>

<b><a href="HELP.html">HELP</a> -- brief survey of ACL2 features
</b><br><br>

<b><a href="HIDDEN-DEATH-PACKAGE.html">HIDDEN-DEATH-PACKAGE</a> -- handling <code><a href="DEFPKG.html">defpkg</a></code> <a href="EVENTS.html">events</a> that are <code><a href="LOCAL.html">local</a></code>
</b><br><br>

<b><a href="HIDDEN-DEFPKG.html">HIDDEN-DEFPKG</a> -- handling defpkg events that are local
</b><br><br>

<b><a href="HIDE.html">HIDE</a> -- hide a term from the rewriter
</b><br><br>

<b><a href="HINTS.html">HINTS</a> -- advice to the theorem proving process
</b><br><br>

<b><a href="HISTORY.html">HISTORY</a> -- functions that display or change history
</b><br><br>

<b><a href="Hey_Wait_bang___Is_ACL2_Typed_or_Untyped_lparen_Q_rparen_.html">Hey Wait!  Is ACL2 Typed or Untyped(Q)</a> -- Hey Wait!  Is ACL2 Typed or Untyped?
</b><br><br>

<b><a href="How_Long_Does_It_Take_to_Become_an_Effective_User_lparen_Q_rparen_.html">How Long Does It Take to Become an Effective User(Q)</a> -- How Long Does It Take to Become an Effective User?
</b><br><br>

<b><a href="How_To_Find_Out_about_ACL2_Functions.html">How To Find Out about ACL2 Functions</a> -- How To Find Out about ACL2 Functions
</b><br><br>

<b><a href="How_To_Find_Out_about_ACL2_Functions__lparen_cont_rparen_.html">How To Find Out about ACL2 Functions (cont)</a> -- How To Find Out about ACL2 Functions (cont)
</b><br><br>


<BR><BR><H1><A NAME="I">I</A></H1>
<b><a href="I-AM-HERE.html">I-AM-HERE</a> -- a convenient marker for use with <code><a href="REBUILD.html">rebuild</a></code>
</b><br><br>

<b><a href="I-CLOSE.html">I-CLOSE</a> -- ACL2(r) test for whether two numbers are infinitesimally close
</b><br><br>

<b><a href="I-LARGE.html">I-LARGE</a> -- ACL2(r) recognizer for infinitely large numbers
</b><br><br>

<b><a href="I-LIMITED.html">I-LIMITED</a> -- ACL2(r) recognizer for limited numbers
</b><br><br>

<b><a href="I-SMALL.html">I-SMALL</a> -- ACL2(r) recognizer for infinitesimal numbers
</b><br><br>

<b><a href="IDENTITY.html">IDENTITY</a> -- the identity function
</b><br><br>

<b><a href="IF.html">IF</a> -- if-then-else function
</b><br><br>

<b><a href="IF_star_.html">IF*</a> -- for conditional rewriting with BDDs
</b><br><br>

<b><a href="IFF.html">IFF</a> -- logical ``if and only if''
</b><br><br>

<b><a href="IFIX.html">IFIX</a> -- coerce to an integer
</b><br><br>

<b><a href="ILLEGAL.html">ILLEGAL</a> -- print an error message and stop execution
</b><br><br>

<b><a href="IMAGPART.html">IMAGPART</a> -- imaginary part of a complex number
</b><br><br>

<b><a href="IMMEDIATE-FORCE-MODEP.html">IMMEDIATE-FORCE-MODEP</a> -- when executable counterpart is <a href="ENABLE.html">enable</a>d,
<br><code>  </code> <a href="FORCE.html">force</a>d hypotheses are attacked immediately
</b><br><br>

<b><a href="IMPLIES.html">IMPLIES</a> -- logical implication
</b><br><br>

<b><a href="IMPROPER-CONSP.html">IMPROPER-CONSP</a> -- recognizer for improper (non-null-terminated) non-empty lists
</b><br><br>

<b><a href="IN-ARITHMETIC-THEORY.html">IN-ARITHMETIC-THEORY</a> -- designate ``current'' theory for some rewriting done in linear arithmetic
</b><br><br>

<b><a href="IN-PACKAGE.html">IN-PACKAGE</a> -- select current package
</b><br><br>

<b><a href="IN-THEORY.html">IN-THEORY</a> -- designate ``current'' theory (enabling its rules)
</b><br><br>

<b><a href="INCLUDE-BOOK.html">INCLUDE-BOOK</a> -- load the <a href="EVENTS.html">events</a> in a file
</b><br><br>

<b><a href="INCOMPATIBLE.html">INCOMPATIBLE</a> -- declaring that two rules should not both be <a href="ENABLE.html">enable</a>d
</b><br><br>

<b><a href="INDUCT.html">INDUCT</a> -- hints keyword <code>:INDUCT</code>
</b><br><br>

<b><a href="INDUCTION.html">INDUCTION</a> -- make a rule that suggests a certain induction
</b><br><br>

<b><a href="INSTRUCTIONS.html">INSTRUCTIONS</a> -- instructions to the proof checker
</b><br><br>

<b><a href="INT=.html">INT=</a> -- test equality of two integers
</b><br><br>

<b><a href="INTEGER-LENGTH.html">INTEGER-LENGTH</a> -- number of bits in two's complement integer representation
</b><br><br>

<b><a href="INTEGER-LISTP.html">INTEGER-LISTP</a> -- recognizer for a true list of integers
</b><br><br>

<b><a href="INTEGERP.html">INTEGERP</a> -- recognizer for whole numbers
</b><br><br>

<b><a href="INTERN.html">INTERN</a> -- create a new symbol in a given package
</b><br><br>

<b><a href="INTERN$.html">INTERN$</a> -- create a new symbol in a given package
</b><br><br>

<b><a href="INTERN-IN-PACKAGE-OF-SYMBOL.html">INTERN-IN-PACKAGE-OF-SYMBOL</a> -- create a symbol with a given name
</b><br><br>

<b><a href="INTERSECTION-THEORIES.html">INTERSECTION-THEORIES</a> -- intersect two <a href="THEORIES.html">theories</a>
</b><br><br>

<b><a href="INTERSECTP-EQ.html">INTERSECTP-EQ</a> -- test whether two lists of symbols intersect
</b><br><br>

<b><a href="INTERSECTP-EQUAL.html">INTERSECTP-EQUAL</a> -- test whether two lists intersect
</b><br><br>

<b><a href="INTRODUCTION.html">INTRODUCTION</a> -- introduction to ACL2
</b><br><br>

<b><a href="INVISIBLE-FNS-TABLE.html">INVISIBLE-FNS-TABLE</a> -- functions that are invisible to the <a href="LOOP-STOPPER.html">loop-stopper</a> algorithm
</b><br><br>

<b><a href="IO.html">IO</a> -- input/output facilities in ACL2
</b><br><br>

<b><a href="IRRELEVANT-FORMALS.html">IRRELEVANT-FORMALS</a> -- formals that are used but only insignificantly
</b><br><br>


<BR><BR><H1>J</H1>


<BR><BR><H1><A NAME="K">K</A></H1>
<b><a href="KEEP.html">KEEP</a> -- how we know if <code><a href="INCLUDE-BOOK.html">include-book</a></code> read the correct files
</b><br><br>

<b><a href="KEYWORD-COMMANDS.html">KEYWORD-COMMANDS</a> -- how keyword commands are processed
</b><br><br>

<b><a href="KEYWORD-VALUE-LISTP.html">KEYWORD-VALUE-LISTP</a> -- recognizer for true lists whose even-position elements are keywords
</b><br><br>

<b><a href="KEYWORDP.html">KEYWORDP</a> -- recognizer for keywords
</b><br><br>


<BR><BR><H1><A NAME="L">L</A></H1>
<b><a href="LAMBDA.html">LAMBDA</a> -- See <a href="TERM.html">term</a>.
</b><br><br>

<b><a href="LAST.html">LAST</a> -- the last <code><a href="CONS.html">cons</a></code> (not element) of a list
</b><br><br>

<b><a href="LD.html">LD</a> -- the ACL2 read-eval-print loop, file loader, and <a href="COMMAND.html">command</a> processor
</b><br><br>

<b><a href="LD-ERROR-ACTION.html">LD-ERROR-ACTION</a> -- determines <code><a href="LD.html">ld</a></code>'s response to an error
</b><br><br>

<b><a href="LD-ERROR-TRIPLES.html">LD-ERROR-TRIPLES</a> -- determines whether a form caused an error during <code><a href="LD.html">ld</a></code>
</b><br><br>

<b><a href="LD-EVISC-TUPLE.html">LD-EVISC-TUPLE</a> -- determines whether <code><a href="LD.html">ld</a></code> suppresses details when printing
</b><br><br>

<b><a href="LD-KEYWORD-ALIASES.html">LD-KEYWORD-ALIASES</a> -- allows the abbreviation of some keyword commands
</b><br><br>

<b><a href="LD-POST-EVAL-PRINT.html">LD-POST-EVAL-PRINT</a> -- determines whether and how <code><a href="LD.html">ld</a></code> prints the result of evaluation
</b><br><br>

<b><a href="LD-PRE-EVAL-FILTER.html">LD-PRE-EVAL-FILTER</a> -- determines which forms <code><a href="LD.html">ld</a></code> evaluates
</b><br><br>

<b><a href="LD-PRE-EVAL-PRINT.html">LD-PRE-EVAL-PRINT</a> -- determines whether <code><a href="LD.html">ld</a></code> prints the forms to be <code>eval</code>'d
</b><br><br>

<b><a href="LD-PROMPT.html">LD-PROMPT</a> -- determines the <a href="PROMPT.html">prompt</a> printed by <code><a href="LD.html">ld</a></code>
</b><br><br>

<b><a href="LD-QUERY-CONTROL-ALIST.html">LD-QUERY-CONTROL-ALIST</a> -- how to default answers to queries
</b><br><br>

<b><a href="LD-REDEFINITION-ACTION.html">LD-REDEFINITION-ACTION</a> -- to allow redefinition without undoing
</b><br><br>

<b><a href="LD-SKIP-PROOFSP.html">LD-SKIP-PROOFSP</a> -- how carefully ACL2 processes your <a href="COMMAND.html">command</a>s
</b><br><br>

<b><a href="LD-VERBOSE.html">LD-VERBOSE</a> -- determines whether <code><a href="LD.html">ld</a></code> prints ``ACL2 Loading ...''
</b><br><br>

<b><a href="LEMMA-INSTANCE.html">LEMMA-INSTANCE</a> -- an object denoting an instance of a theorem
</b><br><br>

<b><a href="LEN.html">LEN</a> -- length of a list
</b><br><br>

<b><a href="LENGTH.html">LENGTH</a> -- length of a string or proper list
</b><br><br>

<b><a href="LET.html">LET</a> -- binding of lexically scoped (local) variables
</b><br><br>

<b><a href="LET_star_.html">LET*</a> -- binding of lexically scoped (local) variables
</b><br><br>

<b><a href="LEXORDER.html">LEXORDER</a> -- total order on ACL2 objects
</b><br><br>

<b><a href="LINEAR.html">LINEAR</a> -- make some arithmetic inequality rules
</b><br><br>

<b><a href="LINEAR-ARITHMETIC.html">LINEAR-ARITHMETIC</a> -- A description of the linear arithmetic decision procedure
</b><br><br>

<b><a href="LIST.html">LIST</a> -- build a list
</b><br><br>

<b><a href="LIST_star_.html">LIST*</a> -- build a list
</b><br><br>

<b><a href="LISTP.html">LISTP</a> -- recognizer for (not necessarily proper) lists
</b><br><br>

<b><a href="LOCAL.html">LOCAL</a> -- hiding an event in an encapsulation or book
</b><br><br>

<b><a href="LOCAL-INCOMPATIBILITY.html">LOCAL-INCOMPATIBILITY</a> -- when non-local <a href="EVENTS.html">events</a> won't replay in isolation
</b><br><br>

<b><a href="LOGAND.html">LOGAND</a> -- bitwise logical `and' of zero or more integers
</b><br><br>

<b><a href="LOGANDC1.html">LOGANDC1</a> -- bitwise logical `and' of two ints, complementing the first
</b><br><br>

<b><a href="LOGANDC2.html">LOGANDC2</a> -- bitwise logical `and' of two ints, complementing the second
</b><br><br>

<b><a href="LOGBITP.html">LOGBITP</a> -- the <code>i</code>th bit of an integer
</b><br><br>

<b><a href="LOGCOUNT.html">LOGCOUNT</a> -- number of ``on'' bits in a two's complement number
</b><br><br>

<b><a href="LOGEQV.html">LOGEQV</a> -- bitwise logical equivalence of zero or more integers
</b><br><br>

<b><a href="LOGIC.html">LOGIC</a> -- to set the default <a href="DEFUN-MODE.html">defun-mode</a> to <code>:logic</code>
</b><br><br>

<b><a href="LOGICAL-NAME.html">LOGICAL-NAME</a> -- a name created by a logical event
</b><br><br>

<b><a href="LOGIOR.html">LOGIOR</a> -- bitwise logical inclusive or of zero or more integers
</b><br><br>

<b><a href="LOGNAND.html">LOGNAND</a> -- bitwise logical `nand' of two integers
</b><br><br>

<b><a href="LOGNOR.html">LOGNOR</a> -- bitwise logical `nor' of two integers
</b><br><br>

<b><a href="LOGNOT.html">LOGNOT</a> -- bitwise not of a two's complement number
</b><br><br>

<b><a href="LOGORC1.html">LOGORC1</a> -- bitwise logical inclusive or of two ints, complementing the first
</b><br><br>

<b><a href="LOGORC2.html">LOGORC2</a> -- bitwise logical inclusive or of two ints, complementing the second
</b><br><br>

<b><a href="LOGTEST.html">LOGTEST</a> -- test if two integers share a `1' bit
</b><br><br>

<b><a href="LOGXOR.html">LOGXOR</a> -- bitwise logical exclusive or of zero or more integers
</b><br><br>

<b><a href="LOOP-STOPPER.html">LOOP-STOPPER</a> -- limit application of permutative rewrite rules
</b><br><br>

<b><a href="LOWER-CASE-P.html">LOWER-CASE-P</a> -- recognizer for lower case characters
</b><br><br>

<b><a href="LP.html">LP</a> -- the Common Lisp entry to ACL2
</b><br><br>


<BR><BR><H1><A NAME="M">M</A></H1>
<b><a href="MACRO-ALIASES-TABLE.html">MACRO-ALIASES-TABLE</a> -- a <a href="TABLE.html">table</a> used to associate function names with macro names
</b><br><br>

<b><a href="MACRO-ARGS.html">MACRO-ARGS</a> -- the formals list of a macro definition
</b><br><br>

<b><a href="MACRO-COMMAND.html">MACRO-COMMAND</a> -- compound command for the proof-checker
</b><br><br>

<b><a href="MAKE-CHARACTER-LIST.html">MAKE-CHARACTER-LIST</a> -- <a href="COERCE.html">coerce</a> to a list of characters
</b><br><br>

<b><a href="MAKE-EVENT.html">MAKE-EVENT</a> -- evaluate (expand) a given form and then evaluate the result
</b><br><br>

<b><a href="MAKE-EVENT-DETAILS.html">MAKE-EVENT-DETAILS</a> -- details on <code><a href="MAKE-EVENT.html">make-event</a></code> expansion
</b><br><br>

<b><a href="MAKE-LIST.html">MAKE-LIST</a> -- make a list of a given size
</b><br><br>

<b><a href="MAKE-ORD.html">MAKE-ORD</a> -- a constructor for ordinals.
</b><br><br>

<b><a href="MAKEFILES.html">MAKEFILES</a> -- See <a href="BOOK-MAKEFILES.html">book-makefiles</a>.
</b><br><br>

<b><a href="MARKUP.html">MARKUP</a> -- the markup language for ACL2 <a href="DOCUMENTATION.html">documentation</a> strings
</b><br><br>

<b><a href="MAX.html">MAX</a> -- the larger of two numbers
</b><br><br>

<b><a href="MAXIMUM-LENGTH.html">MAXIMUM-LENGTH</a> -- return the <code>:maximum-length</code> from the <a href="HEADER.html">header</a> of an array
</b><br><br>

<b><a href="MBE.html">MBE</a> -- attach code for execution
</b><br><br>

<b><a href="MBT.html">MBT</a> -- introduce a test not to be evaluated
</b><br><br>

<b><a href="MEASURE.html">MEASURE</a> -- xargs keyword <code>:MEASURE</code>
</b><br><br>

<b><a href="MEMBER.html">MEMBER</a> -- membership predicate, using <code><a href="EQL.html">eql</a></code> as test
</b><br><br>

<b><a href="MEMBER-EQ.html">MEMBER-EQ</a> -- membership predicate, using <code><a href="EQ.html">eq</a></code> as test
</b><br><br>

<b><a href="MEMBER-EQUAL.html">MEMBER-EQUAL</a> -- membership predicate
</b><br><br>

<b><a href="META.html">META</a> -- make a <code>:meta</code> rule (a hand-written simplifier)
</b><br><br>

<b><a href="MIN.html">MIN</a> -- the smaller of two numbers
</b><br><br>

<b><a href="MINIMAL-THEORY.html">MINIMAL-THEORY</a> -- a minimal theory to enable
</b><br><br>

<b><a href="MINUSP.html">MINUSP</a> -- test whether a number is negative
</b><br><br>

<b><a href="MISCELLANEOUS.html">MISCELLANEOUS</a> -- a miscellany of documented functions and concepts
<br><code>  </code>               (often cited in more accessible <a href="DOCUMENTATION.html">documentation</a>)
</b><br><br>

<b><a href="MOD.html">MOD</a> -- remainder using <code><a href="FLOOR.html">floor</a></code>
</b><br><br>

<b><a href="MOD-EXPT.html">MOD-EXPT</a> -- exponential function
</b><br><br>

<b><a href="MODE.html">MODE</a> -- xargs keyword <code>:MODE</code>
</b><br><br>

<b><a href="MONITOR.html">MONITOR</a> -- to monitor the attempted application of a rule name
</b><br><br>

<b><a href="MONITORED-RUNES.html">MONITORED-RUNES</a> -- print the <a href="MONITOR.html">monitor</a>ed <a href="RUNE.html">rune</a>s and their break conditions
</b><br><br>

<b><a href="MORE.html">MORE</a> -- your response to <code>:</code><code><a href="DOC.html">doc</a></code> or <code>:</code><code><a href="MORE.html">more</a></code>'s ``<code>(type :more...)</code>''
</b><br><br>

<b><a href="MORE_bang_.html">MORE!</a> -- another response to ``(type :more for more, :more! for the rest)''
</b><br><br>

<b><a href="MORE-DOC.html">MORE-DOC</a> -- a continuation of the <code>:</code><code><a href="DOC.html">doc</a></code> <a href="DOCUMENTATION.html">documentation</a>
</b><br><br>

<b><a href="MUST-BE-EQUAL.html">MUST-BE-EQUAL</a> -- attach code for execution
</b><br><br>

<b><a href="MUTUAL-RECURSION.html">MUTUAL-RECURSION</a> -- define some mutually recursive functions
</b><br><br>

<b><a href="MUTUAL-RECURSION-PROOF-EXAMPLE.html">MUTUAL-RECURSION-PROOF-EXAMPLE</a> -- a small proof about mutually recursive functions
</b><br><br>

<b><a href="MV.html">MV</a> -- returning a multiple value
</b><br><br>

<b><a href="MV-LET.html">MV-LET</a> -- calling multi-valued ACL2 functions
</b><br><br>

<b><a href="MV-NTH.html">MV-NTH</a> -- the mv-nth element (zero-based) of a list
</b><br><br>

<b><a href="Modeling_in_ACL2.html">Modeling in ACL2</a> -- Modeling in ACL2
</b><br><br>

<b><a href="Models_in_Engineering.html">Models in Engineering</a> -- Models in Engineering
</b><br><br>

<b><a href="Models_of_Computer_Hardware_and_Software.html">Models of Computer Hardware and Software</a> -- Models of Computer Hardware and Software
</b><br><br>


<BR><BR><H1><A NAME="N">N</A></H1>
<b><a href="NAME.html">NAME</a> -- syntactic rules on logical names
</b><br><br>

<b><a href="NATP.html">NATP</a> -- a recognizer for the natural numbers
</b><br><br>

<b><a href="NFIX.html">NFIX</a> -- coerce to a natural number
</b><br><br>

<b><a href="NINTH.html">NINTH</a> -- ninth member of the list
</b><br><br>

<b><a href="NO-DUPLICATESP.html">NO-DUPLICATESP</a> -- check for duplicates in a list (using <code>eql</code> for equality)
</b><br><br>

<b><a href="NO-DUPLICATESP-EQUAL.html">NO-DUPLICATESP-EQUAL</a> -- check for duplicates in a list (using <code>equal</code> for equality)
</b><br><br>

<b><a href="NON-EXECUTABLE.html">NON-EXECUTABLE</a> -- xargs keyword <code>:NON-EXECUTABLE</code>
</b><br><br>

<b><a href="NON-LINEAR-ARITHMETIC.html">NON-LINEAR-ARITHMETIC</a> -- Non-linear Arithmetic
</b><br><br>

<b><a href="NONLINEARP.html">NONLINEARP</a> -- hints keyword <code>:NONLINEARP</code>
</b><br><br>

<b><a href="NONNEGATIVE-INTEGER-QUOTIENT.html">NONNEGATIVE-INTEGER-QUOTIENT</a> -- natural number division function
</b><br><br>

<b><a href="NORMALIZE.html">NORMALIZE</a> -- xargs keyword <code>:NORMALIZE</code>
</b><br><br>

<b><a href="NOT.html">NOT</a> -- logical negation
</b><br><br>

<b><a href="NOTE-2-0.html">NOTE-2-0</a> -- ACL2 Version 2.0 (July, 1997) Notes
</b><br><br>

<b><a href="NOTE-2-1.html">NOTE-2-1</a> -- ACL2 Version  2.1 (December, 1997) Notes
</b><br><br>

<b><a href="NOTE-2-2.html">NOTE-2-2</a> -- ACL2 Version  2.2 (August, 1998) Notes
</b><br><br>

<b><a href="NOTE-2-3.html">NOTE-2-3</a> -- ACL2 Version  2.3 (October, 1998) Notes
</b><br><br>

<b><a href="NOTE-2-4.html">NOTE-2-4</a> -- ACL2 Version  2.4 (August, 1999) Notes
</b><br><br>

<b><a href="NOTE-2-5.html">NOTE-2-5</a> -- ACL2 Version  2.5 (June, 2000) Notes
</b><br><br>

<b><a href="NOTE-2-5_lparen_R_rparen_.html">NOTE-2-5(R)</a> -- ACL2 Version  2.5(r) (June, 2000) Notes
</b><br><br>

<b><a href="NOTE-2-6.html">NOTE-2-6</a> -- ACL2 Version  2.6 (November, 2001) Notes
</b><br><br>

<b><a href="NOTE-2-6_lparen_R_rparen_.html">NOTE-2-6(R)</a> -- ACL2 Version  2.6(r) (November, 2001) Notes
</b><br><br>

<b><a href="NOTE-2-6-GUARDS.html">NOTE-2-6-GUARDS</a> -- ACL2 Version  2.6 Notes on Guard-related Changes
</b><br><br>

<b><a href="NOTE-2-6-NEW-FUNCTIONALITY.html">NOTE-2-6-NEW-FUNCTIONALITY</a> -- ACL2 Version  2.6 Notes on New Functionality
</b><br><br>

<b><a href="NOTE-2-6-OTHER.html">NOTE-2-6-OTHER</a> -- ACL2 Version  2.6 Notes on Other (Minor) Changes
</b><br><br>

<b><a href="NOTE-2-6-PROOF-CHECKER.html">NOTE-2-6-PROOF-CHECKER</a> -- ACL2 Version  2.6 Notes on Proof-checker Changes
</b><br><br>

<b><a href="NOTE-2-6-PROOFS.html">NOTE-2-6-PROOFS</a> -- ACL2 Version  2.6 Notes on Changes in Proof Engine
</b><br><br>

<b><a href="NOTE-2-6-RULES.html">NOTE-2-6-RULES</a> -- ACL2 Version  2.6 Notes on Changes in Rules and Constants
</b><br><br>

<b><a href="NOTE-2-6-SYSTEM.html">NOTE-2-6-SYSTEM</a> -- ACL2 Version  2.6 Notes on System-level Changes
</b><br><br>

<b><a href="NOTE-2-7.html">NOTE-2-7</a> -- ACL2 Version  2.7 (November, 2002) Notes
</b><br><br>

<b><a href="NOTE-2-7_lparen_R_rparen_.html">NOTE-2-7(R)</a> -- ACL2 Version  2.7(r) (November, 2002) Notes
</b><br><br>

<b><a href="NOTE-2-7-BUG-FIXES.html">NOTE-2-7-BUG-FIXES</a> -- ACL2 Version  2.7 Notes on Bug Fixes
</b><br><br>

<b><a href="NOTE-2-7-GUARDS.html">NOTE-2-7-GUARDS</a> -- ACL2 Version  2.7 Notes on Guard-related Changes
</b><br><br>

<b><a href="NOTE-2-7-NEW-FUNCTIONALITY.html">NOTE-2-7-NEW-FUNCTIONALITY</a> -- ACL2 Version  2.7 Notes on New Functionality
</b><br><br>

<b><a href="NOTE-2-7-OTHER.html">NOTE-2-7-OTHER</a> -- ACL2 Version  2.7 Notes on Miscellaneous Changes
</b><br><br>

<b><a href="NOTE-2-7-PROOF-CHECKER.html">NOTE-2-7-PROOF-CHECKER</a> -- ACL2 Version  2.7 Notes on Proof-checker Changes
</b><br><br>

<b><a href="NOTE-2-7-PROOFS.html">NOTE-2-7-PROOFS</a> -- ACL2 Version  2.7 Notes on Changes in Proof Engine
</b><br><br>

<b><a href="NOTE-2-7-RULES.html">NOTE-2-7-RULES</a> -- ACL2 Version  2.7 Notes on Changes in Rules and Constants
</b><br><br>

<b><a href="NOTE-2-7-SYSTEM.html">NOTE-2-7-SYSTEM</a> -- ACL2 Version  2.7 Notes on System-level Changes
</b><br><br>

<b><a href="NOTE-2-8.html">NOTE-2-8</a> -- ACL2 Version  2.8 (March, 2004) Notes
</b><br><br>

<b><a href="NOTE-2-8_lparen_R_rparen_.html">NOTE-2-8(R)</a> -- ACL2 Version  2.8(r) (March, 2003) Notes
</b><br><br>

<b><a href="NOTE-2-8-BUG-FIXES.html">NOTE-2-8-BUG-FIXES</a> -- ACL2 Version  2.8 Notes on Bug Fixes
</b><br><br>

<b><a href="NOTE-2-8-GUARDS.html">NOTE-2-8-GUARDS</a> -- ACL2 Version  2.8 Notes on Guard-related Changes
</b><br><br>

<b><a href="NOTE-2-8-NEW-FUNCTIONALITY.html">NOTE-2-8-NEW-FUNCTIONALITY</a> -- ACL2 Version  2.8 Notes on New Functionality
</b><br><br>

<b><a href="NOTE-2-8-ORDINALS.html">NOTE-2-8-ORDINALS</a> -- ACL2 Version  2.8 Notes on Changes to the Ordinals
</b><br><br>

<b><a href="NOTE-2-8-OTHER.html">NOTE-2-8-OTHER</a> -- ACL2 Version  2.8 Notes on Miscellaneous Changes
</b><br><br>

<b><a href="NOTE-2-8-PROOF-CHECKER.html">NOTE-2-8-PROOF-CHECKER</a> -- ACL2 Version  2.8 Notes on Proof-checker Changes
</b><br><br>

<b><a href="NOTE-2-8-PROOFS.html">NOTE-2-8-PROOFS</a> -- ACL2 Version  2.8 Notes on Changes in Proof Engine
</b><br><br>

<b><a href="NOTE-2-8-RULES.html">NOTE-2-8-RULES</a> -- ACL2 Version  2.8 Notes on Changes in Rules, Definitions, and Constants
</b><br><br>

<b><a href="NOTE-2-8-SYSTEM.html">NOTE-2-8-SYSTEM</a> -- ACL2 Version  2.8 Notes on System-level Changes
</b><br><br>

<b><a href="NOTE-2-9.html">NOTE-2-9</a> -- ACL2 Version  2.9 (October, 2004) Notes
</b><br><br>

<b><a href="NOTE-2-9_lparen_R_rparen_.html">NOTE-2-9(R)</a> -- ACL2 Version  2.9(r) (October, 2004) Notes
</b><br><br>

<b><a href="NOTE-2-9-1.html">NOTE-2-9-1</a> -- ACL2 Version  2.9.1 (December, 2004) Notes
</b><br><br>

<b><a href="NOTE-2-9-2.html">NOTE-2-9-2</a> -- ACL2 Version  2.9.2 (April, 2005) Notes
</b><br><br>

<b><a href="NOTE-2-9-3.html">NOTE-2-9-3</a> -- ACL2 Version  2.9.3 (August, 2005) Notes
</b><br><br>

<b><a href="NOTE-2-9-3-PPR-CHANGE.html">NOTE-2-9-3-PPR-CHANGE</a> -- change in pretty-printing for ACL2 Version_2.9.3
</b><br><br>

<b><a href="NOTE-2-9-4.html">NOTE-2-9-4</a> -- ACL2 Version  2.9.4 (February, 2006) Notes
</b><br><br>

<b><a href="NOTE-2-9-5.html">NOTE-2-9-5</a> -- Changes in Version  3.0 since Version  2.9.4
</b><br><br>

<b><a href="NOTE-3-0.html">NOTE-3-0</a> -- ACL2 Version  3.0 (June, 2006) Notes
</b><br><br>

<b><a href="NOTE-3-0_lparen_R_rparen_.html">NOTE-3-0(R)</a> -- ACL2 Version  3.0(r) (June, 2006) Notes
</b><br><br>

<b><a href="NOTE-3-0-1.html">NOTE-3-0-1</a> -- ACL2 Version  3.0.1 (August, 2006) Notes
</b><br><br>

<b><a href="NOTE-3-0-1_lparen_R_rparen_.html">NOTE-3-0-1(R)</a> -- ACL2 Version  3.0.1(r) (August, 2006) Notes
</b><br><br>

<b><a href="NOTE-3-0-2.html">NOTE-3-0-2</a> -- ACL2 Version  3.0.2 (December, 2006) Notes
</b><br><br>

<b><a href="NOTE-3-1.html">NOTE-3-1</a> -- ACL2 Version  3.1 (December, 2006) Notes
</b><br><br>

<b><a href="NOTE-3-1_lparen_R_rparen_.html">NOTE-3-1(R)</a> -- ACL2 Version  3.1(r) (December, 2006) Notes
</b><br><br>

<b><a href="NOTE1.html">NOTE1</a> -- Acl2 Version 1.1 Notes
</b><br><br>

<b><a href="NOTE2.html">NOTE2</a> -- Acl2 Version 1.2 Notes
</b><br><br>

<b><a href="NOTE3.html">NOTE3</a> -- Acl2 Version 1.3 Notes
</b><br><br>

<b><a href="NOTE4.html">NOTE4</a> -- Acl2 Version 1.4 Notes
</b><br><br>

<b><a href="NOTE5.html">NOTE5</a> -- Acl2 Version 1.5 Notes
</b><br><br>

<b><a href="NOTE6.html">NOTE6</a> -- Acl2 Version 1.6 Notes
</b><br><br>

<b><a href="NOTE7.html">NOTE7</a> -- ACL2 Version 1.7 (released October 1994) Notes
</b><br><br>

<b><a href="NOTE8.html">NOTE8</a> -- ACL2 Version 1.8 (May, 1995) Notes
</b><br><br>

<b><a href="NOTE8-UPDATE.html">NOTE8-UPDATE</a> -- ACL2 Version 1.8 (Summer, 1995) Notes
</b><br><br>

<b><a href="NOTE9.html">NOTE9</a> -- ACL2 Version 1.9 (Fall, 1996) Notes
</b><br><br>

<b><a href="NQTHM-TO-ACL2.html">NQTHM-TO-ACL2</a> -- ACL2 analogues of Nqthm functions and commands
</b><br><br>

<b><a href="NTH.html">NTH</a> -- the nth element (zero-based) of a list
</b><br><br>

<b><a href="NTH-ALIASES-TABLE.html">NTH-ALIASES-TABLE</a> -- a <a href="TABLE.html">table</a> used to associate names for nth/update-nth printing
</b><br><br>

<b><a href="NTHCDR.html">NTHCDR</a> -- final segment of a list
</b><br><br>

<b><a href="NU-REWRITER.html">NU-REWRITER</a> -- rewriting <code>NTH</code>/<code>UPDATE-NTH</code> expressions
</b><br><br>

<b><a href="NULL.html">NULL</a> -- recognizer for the empty list
</b><br><br>

<b><a href="NUMERATOR.html">NUMERATOR</a> -- dividend of a ratio in lowest terms
</b><br><br>

<b><a href="Name_the_Formula_Above.html">Name the Formula Above</a> -- Name the Formula Above
</b><br><br>

<b><a href="Nontautological_Subgoals.html">Nontautological Subgoals</a> -- Prover output omits some details
</b><br><br>

<b><a href="Numbers_in_ACL2.html">Numbers in ACL2</a> -- Numbers in ACL2
</b><br><br>


<BR><BR><H1><A NAME="O">O</A></H1>
<b><a href="O-FINP.html">O-FINP</a> -- recognizes if an ordinal is finite
</b><br><br>

<b><a href="O-FIRST-COEFF.html">O-FIRST-COEFF</a> -- returns the first coefficient of an ordinal
</b><br><br>

<b><a href="O-FIRST-EXPT.html">O-FIRST-EXPT</a> -- the first exponent of an ordinal
</b><br><br>

<b><a href="O-INFP.html">O-INFP</a> -- recognizes if an ordinal is infinite
</b><br><br>

<b><a href="O-P.html">O-P</a> -- a recognizer for the ordinals up to epsilon-0
</b><br><br>

<b><a href="O-RST.html">O-RST</a> -- returns the rest of an infinite ordinal
</b><br><br>

<b><a href="O_lt_.html">O&lt;</a> -- the well-founded less-than relation on ordinals up to <code>epsilon-0</code>
</b><br><br>

<b><a href="O_lt_=.html">O&lt;=</a> -- the less-than-or-equal relation for the ordinals
</b><br><br>

<b><a href="O_gt_.html">O&gt;</a> -- the greater-than relation for the ordinals
</b><br><br>

<b><a href="O_gt_=.html">O&gt;=</a> -- the greater-than-or-equal relation for the ordinals
</b><br><br>

<b><a href="OBDD.html">OBDD</a> -- ordered binary decision diagrams with rewriting
</b><br><br>

<b><a href="ODDP.html">ODDP</a> -- test whether an integer is odd
</b><br><br>

<b><a href="OK-IF.html">OK-IF</a> -- conditional exit from <code>break-rewrite</code>
</b><br><br>

<b><a href="OOPS.html">OOPS</a> -- undo a <code>:u</code> or <code>:</code><code><a href="UBT.html">ubt</a></code>
</b><br><br>

<b><a href="OPEN-INPUT-CHANNEL.html">OPEN-INPUT-CHANNEL</a> -- See <a href="IO.html">io</a>.
</b><br><br>

<b><a href="OPEN-INPUT-CHANNEL-P.html">OPEN-INPUT-CHANNEL-P</a> -- See <a href="IO.html">io</a>.
</b><br><br>

<b><a href="OPEN-OUTPUT-CHANNEL.html">OPEN-OUTPUT-CHANNEL</a> -- See <a href="IO.html">io</a>.
</b><br><br>

<b><a href="OPEN-OUTPUT-CHANNEL-P.html">OPEN-OUTPUT-CHANNEL-P</a> -- See <a href="IO.html">io</a>.
</b><br><br>

<b><a href="OPEN-TRACE-FILE.html">OPEN-TRACE-FILE</a> -- redirect trace output to a file
</b><br><br>

<b><a href="OR.html">OR</a> -- disjunction
</b><br><br>

<b><a href="ORDINALS.html">ORDINALS</a> -- ordinals in ACL2
</b><br><br>

<b><a href="OTF-FLG.html">OTF-FLG</a> -- pushing all the initial subgoals
</b><br><br>

<b><a href="OTHER.html">OTHER</a> -- other commonly used top-level functions
</b><br><br>

<b><a href="On_the_Naming_of_Subgoals.html">On the Naming of Subgoals</a> -- On the Naming of Subgoals
</b><br><br>

<b><a href="Other_Requirements.html">Other Requirements</a> -- Other Requirements
</b><br><br>

<b><a href="Overview_of_the_Expansion_of_ENDP_in_the_Base_Case.html">Overview of the Expansion of ENDP in the Base Case</a> -- Overview of the Expansion of ENDP in the Base Case
</b><br><br>

<b><a href="Overview_of_the_Expansion_of_ENDP_in_the_Induction_Step.html">Overview of the Expansion of ENDP in the Induction Step</a> -- Overview of the Expansion of ENDP in the Induction Step
</b><br><br>

<b><a href="Overview_of_the_Final_Simplification_in_the_Base_Case.html">Overview of the Final Simplification in the Base Case</a> -- Overview of the Final Simplification in the Base Case
</b><br><br>

<b><a href="Overview_of_the_Proof_of_a_Trivial_Consequence.html">Overview of the Proof of a Trivial Consequence</a> -- Overview of the Proof of a Trivial Consequence
</b><br><br>

<b><a href="Overview_of_the_Simplification_of_the_Base_Case_to_T.html">Overview of the Simplification of the Base Case to T</a> -- Overview of the Simplification of the Base Case to T
</b><br><br>

<b><a href="Overview_of_the_Simplification_of_the_Induction_Conclusion.html">Overview of the Simplification of the Induction Conclusion</a> -- Overview of the Simplification of the Induction Conclusion
</b><br><br>

<b><a href="Overview_of_the_Simplification_of_the_Induction_Step_to_T.html">Overview of the Simplification of the Induction Step to T</a> -- Overview of the Simplification of the Induction Step to T
</b><br><br>


<BR><BR><H1><A NAME="P">P</A></H1>
<b><a href="PACKAGE-REINCARNATION-IMPORT-RESTRICTIONS.html">PACKAGE-REINCARNATION-IMPORT-RESTRICTIONS</a> -- re-defining undone <code><a href="DEFPKG.html">defpkg</a></code>s
</b><br><br>

<b><a href="PAIRLIS.html">PAIRLIS</a> -- See <a href="PAIRLIS$.html">pairlis$</a>
</b><br><br>

<b><a href="PAIRLIS$.html">PAIRLIS$</a> -- zipper together two lists
</b><br><br>

<b><a href="PATHNAME.html">PATHNAME</a> -- introduction to filename conventions in ACL2
</b><br><br>

<b><a href="PBT.html">PBT</a> -- print the <a href="COMMAND.html">command</a>s back through a <a href="COMMAND.html">command</a> descriptor
</b><br><br>

<b><a href="PC.html">PC</a> -- print the <a href="COMMAND.html">command</a> described by a <a href="COMMAND.html">command</a> descriptor
</b><br><br>

<b><a href="PCB.html">PCB</a> -- print the <a href="COMMAND.html">command</a> block described by a <a href="COMMAND.html">command</a> descriptor
</b><br><br>

<b><a href="PCB_bang_.html">PCB!</a> -- print in full the <a href="COMMAND.html">command</a> block described by a <a href="COMMAND.html">command</a> descriptor
</b><br><br>

<b><a href="PCS.html">PCS</a> -- print the sequence of <a href="COMMAND.html">command</a>s between two <a href="COMMAND.html">command</a> descriptors
</b><br><br>

<b><a href="PE.html">PE</a> -- print the events named by a logical name
</b><br><br>

<b><a href="PE_bang_.html">PE!</a> -- deprecated (see <a href="PE.html">pe</a>)
</b><br><br>

<b><a href="PEEK-CHAR$.html">PEEK-CHAR$</a> -- See <a href="IO.html">io</a>.
</b><br><br>

<b><a href="PF.html">PF</a> -- print the formula corresponding to the given name
</b><br><br>

<b><a href="PKG-WITNESS.html">PKG-WITNESS</a> -- return a specific symbol in the indicated package
</b><br><br>

<b><a href="PL.html">PL</a> -- print the rules for the given name or term
</b><br><br>

<b><a href="PLUSP.html">PLUSP</a> -- test whether a number is positive
</b><br><br>

<b><a href="PORTCULLIS.html">PORTCULLIS</a> -- the gate guarding the entrance to a certified book
</b><br><br>

<b><a href="POSITION.html">POSITION</a> -- position of an item in a string or a list, using <code><a href="EQL.html">eql</a></code> as test
</b><br><br>

<b><a href="POSITION-EQ.html">POSITION-EQ</a> -- position of an item in a string or a list, using <code><a href="EQ.html">eq</a></code> as test
</b><br><br>

<b><a href="POSITION-EQUAL.html">POSITION-EQUAL</a> -- position of an item in a string or a list
</b><br><br>

<b><a href="POSP.html">POSP</a> -- a recognizer for the positive integers
</b><br><br>

<b><a href="PPROGN.html">PPROGN</a> -- evaluate a sequence of forms that return <a href="STATE.html">state</a>
</b><br><br>

<b><a href="PR.html">PR</a> -- print the rules stored by the event with the given name
</b><br><br>

<b><a href="PR_bang_.html">PR!</a> -- print rules stored by the command with a given command descriptor
</b><br><br>

<b><a href="PRINC$.html">PRINC$</a> -- print a string
</b><br><br>

<b><a href="PRINT-DOC-START-COLUMN.html">PRINT-DOC-START-COLUMN</a> -- printing the one-liner
</b><br><br>

<b><a href="PRINT-OBJECT$.html">PRINT-OBJECT$</a> -- See <a href="IO.html">io</a>.
</b><br><br>

<b><a href="PROG2$.html">PROG2$</a> -- execute two forms and return the value of the second one
</b><br><br>

<b><a href="PROGN.html">PROGN</a> -- evaluate some <a href="EVENTS.html">events</a>
</b><br><br>

<b><a href="PROGN_bang_.html">PROGN!</a> -- evaluate some forms, not necessarily <a href="EVENTS.html">events</a>
</b><br><br>

<b><a href="PROGRAM.html">PROGRAM</a> -- to set the default <a href="DEFUN-MODE.html">defun-mode</a> to <code>:</code><code><a href="PROGRAM.html">program</a></code>
</b><br><br>

<b><a href="PROGRAMMING.html">PROGRAMMING</a> -- built-in ACL2 functions
</b><br><br>

<b><a href="PROMPT.html">PROMPT</a> -- the prompt printed by <code><a href="LD.html">ld</a></code>
</b><br><br>

<b><a href="PROOF-CHECKER.html">PROOF-CHECKER</a> -- support for low-level interaction
</b><br><br>

<b><a href="PROOF-CHECKER-COMMANDS.html">PROOF-CHECKER-COMMANDS</a> -- list of commands for the proof-checker
</b><br><br>

<b><a href="PROOF-OF-WELL-FOUNDEDNESS.html">PROOF-OF-WELL-FOUNDEDNESS</a> -- a proof that <code><a href="O_lt_.html">o&lt;</a></code> is well-founded on <code><a href="O-P.html">o-p</a></code>s
</b><br><br>

<b><a href="PROOF-TREE.html">PROOF-TREE</a> -- proof tree displays
</b><br><br>

<b><a href="PROOF-TREE-BINDINGS.html">PROOF-TREE-BINDINGS</a> -- using emacs with proof trees
</b><br><br>

<b><a href="PROOF-TREE-DETAILS.html">PROOF-TREE-DETAILS</a> -- proof tree details not covered elsewhere
</b><br><br>

<b><a href="PROOF-TREE-EMACS.html">PROOF-TREE-EMACS</a> -- using emacs with proof trees
</b><br><br>

<b><a href="PROOF-TREE-EXAMPLES.html">PROOF-TREE-EXAMPLES</a> -- proof tree example
</b><br><br>

<b><a href="PROOFS-CO.html">PROOFS-CO</a> -- the proofs character output channel
</b><br><br>

<b><a href="PROPER-CONSP.html">PROPER-CONSP</a> -- recognizer for proper (null-terminated) non-empty lists
</b><br><br>

<b><a href="PROPS.html">PROPS</a> -- print the ACL2 properties on a symbol
</b><br><br>

<b><a href="PSEUDO-TERMP.html">PSEUDO-TERMP</a> -- a predicate for recognizing term-like s-expressions
</b><br><br>

<b><a href="PSO.html">PSO</a> -- show the most recently saved output
</b><br><br>

<b><a href="PSO_bang_.html">PSO!</a> -- show the most recently saved output, including <a href="PROOF-TREE.html">proof-tree</a> output
</b><br><br>

<b><a href="PSTACK.html">PSTACK</a> -- seeing what is the prover up to
</b><br><br>

<b><a href="PUFF.html">PUFF</a> -- replace a compound <a href="COMMAND.html">command</a> by its immediate subevents
</b><br><br>

<b><a href="PUFF_star_.html">PUFF*</a> -- replace a compound <a href="COMMAND.html">command</a> by its subevents
</b><br><br>

<b><a href="PUSH-UNTOUCHABLE.html">PUSH-UNTOUCHABLE</a> -- add name or list of names to the list of untouchable symbols
</b><br><br>

<b><a href="PUT-ASSOC-EQ.html">PUT-ASSOC-EQ</a> -- modify an association list by associating a value with a key
</b><br><br>

<b><a href="PUT-ASSOC-EQL.html">PUT-ASSOC-EQL</a> -- modify an association list by associating a value with a key
</b><br><br>

<b><a href="PUT-ASSOC-EQUAL.html">PUT-ASSOC-EQUAL</a> -- modify an association list by associating a value with a key
</b><br><br>

<b><a href="Pages_Written_Especially_for_the_Tours.html">Pages Written Especially for the Tours</a> -- Pages Written Especially for the Tours
</b><br><br>

<b><a href="Perhaps.html">Perhaps</a> -- Perhaps
</b><br><br>

<b><a href="Popping_out_of_an_Inductive_Proof.html">Popping out of an Inductive Proof</a> -- Popping out of an Inductive Proof
</b><br><br>

<b><a href="Proving_Theorems_about_Models.html">Proving Theorems about Models</a> -- Proving Theorems about Models
</b><br><br>


<BR><BR><H1><A NAME="Q">Q</A></H1>
<b><a href="Q.html">Q</a> -- quit ACL2 (type <code>:q</code>) -- reenter with <code>(lp)</code>
</b><br><br>

<b><a href="QUANTIFIERS.html">QUANTIFIERS</a> -- issues about quantification in ACL2
</b><br><br>

<b><a href="QUANTIFIERS-USING-DEFUN-SK.html">QUANTIFIERS-USING-DEFUN-SK</a> -- quantification example
</b><br><br>

<b><a href="QUANTIFIERS-USING-DEFUN-SK-EXTENDED.html">QUANTIFIERS-USING-DEFUN-SK-EXTENDED</a> -- quantification example with details
</b><br><br>

<b><a href="QUANTIFIERS-USING-RECURSION.html">QUANTIFIERS-USING-RECURSION</a> -- recursion for implementing quantification
</b><br><br>

<b><a href="QUIT.html">QUIT</a> -- quit entirely out of Lisp
</b><br><br>


<BR><BR><H1><A NAME="R">R</A></H1>
<b><a href="RASSOC.html">RASSOC</a> -- look up value in association list, using <code><a href="EQL.html">eql</a></code> as test
</b><br><br>

<b><a href="RASSOC-EQ.html">RASSOC-EQ</a> -- look up value in association list, using <code><a href="EQ.html">eq</a></code> as test
</b><br><br>

<b><a href="RASSOC-EQUAL.html">RASSOC-EQUAL</a> -- look up value in association list, using <code><a href="EQUAL.html">equal</a></code> as test
</b><br><br>

<b><a href="RATIONAL-LISTP.html">RATIONAL-LISTP</a> -- recognizer for a true list of rational numbers
</b><br><br>

<b><a href="RATIONALP.html">RATIONALP</a> -- recognizer for rational numbers (ratios and integers)
</b><br><br>

<b><a href="READ-BYTE$.html">READ-BYTE$</a> -- See <a href="IO.html">io</a>.
</b><br><br>

<b><a href="READ-CHAR$.html">READ-CHAR$</a> -- See <a href="IO.html">io</a>.
</b><br><br>

<b><a href="READ-OBJECT.html">READ-OBJECT</a> -- See <a href="IO.html">io</a>.
</b><br><br>

<b><a href="REAL.html">REAL</a> -- ACL2(r) support for real numbers
</b><br><br>

<b><a href="REAL-LISTP.html">REAL-LISTP</a> -- ACL2(r) recognizer for a true list of real numbers
</b><br><br>

<b><a href="REAL_slash_RATIONALP.html">REAL/RATIONALP</a> -- recognizer for rational numbers (including real number in ACL2(r))
</b><br><br>

<b><a href="REALFIX.html">REALFIX</a> -- coerce to a real number
</b><br><br>

<b><a href="REALPART.html">REALPART</a> -- real part of a complex number
</b><br><br>

<b><a href="REBUILD.html">REBUILD</a> -- a convenient way to reconstruct your old <a href="STATE.html">state</a>
</b><br><br>

<b><a href="REDEF.html">REDEF</a> -- a common way to set <a href="LD-REDEFINITION-ACTION.html">ld-redefinition-action</a>
</b><br><br>

<b><a href="REDEF_bang_.html">REDEF!</a> -- system hacker's redefinition <a href="COMMAND.html">command</a>
</b><br><br>

<b><a href="REDEFINED-NAMES.html">REDEFINED-NAMES</a> -- to collect the names that have been redefined
</b><br><br>

<b><a href="REDEFINING-PROGRAMS.html">REDEFINING-PROGRAMS</a> -- an explanation of why we restrict redefinitions
</b><br><br>

<b><a href="REDO-FLAT.html">REDO-FLAT</a> -- redo up through a failure in an <code><a href="ENCAPSULATE.html">encapsulate</a></code> or <code><a href="PROGN.html">progn</a></code>
</b><br><br>

<b><a href="REDUNDANT-EVENTS.html">REDUNDANT-EVENTS</a> -- allowing a name to be introduced ``twice''
</b><br><br>

<b><a href="REFINEMENT.html">REFINEMENT</a> -- record that one equivalence relation refines another
</b><br><br>

<b><a href="RELEASE-NOTES.html">RELEASE-NOTES</a> -- pointers to what has changed
</b><br><br>

<b><a href="REM.html">REM</a> -- remainder using <code><a href="TRUNCATE.html">truncate</a></code>
</b><br><br>

<b><a href="REMOVE.html">REMOVE</a> -- remove all occurrences, testing using <code><a href="EQL.html">eql</a></code>
</b><br><br>

<b><a href="REMOVE-BINOP.html">REMOVE-BINOP</a> -- remove the association of a binary function name with a macro name
</b><br><br>

<b><a href="REMOVE-DEFAULT-HINTS.html">REMOVE-DEFAULT-HINTS</a> -- remove from the default hints
</b><br><br>

<b><a href="REMOVE-DEFAULT-HINTS_bang_.html">REMOVE-DEFAULT-HINTS!</a> -- remove from the default hints non-<code><a href="LOCAL.html">local</a></code>ly
</b><br><br>

<b><a href="REMOVE-DIVE-INTO-MACRO.html">REMOVE-DIVE-INTO-MACRO</a> -- removes association of <a href="PROOF-CHECKER.html">proof-checker</a> diving function with macro name
</b><br><br>

<b><a href="REMOVE-DUPLICATES.html">REMOVE-DUPLICATES</a> -- remove duplicates from a string or (using <code><a href="EQL.html">eql</a></code>) a list
</b><br><br>

<b><a href="REMOVE-DUPLICATES-EQUAL.html">REMOVE-DUPLICATES-EQUAL</a> -- remove duplicates from a list
</b><br><br>

<b><a href="REMOVE-EQ.html">REMOVE-EQ</a> -- remove all occurrences, testing using <code><a href="EQ.html">eq</a></code>
</b><br><br>

<b><a href="REMOVE-EQUAL.html">REMOVE-EQUAL</a> -- remove all occurrences, testing using <code><a href="EQUAL.html">equal</a></code>
</b><br><br>

<b><a href="REMOVE-INVISIBLE-FNS.html">REMOVE-INVISIBLE-FNS</a> -- make some unary functions no longer invisible
</b><br><br>

<b><a href="REMOVE-MACRO-ALIAS.html">REMOVE-MACRO-ALIAS</a> -- remove the association of a function name with a macro name
</b><br><br>

<b><a href="REMOVE-NTH-ALIAS.html">REMOVE-NTH-ALIAS</a> -- remove the association of one symbol with another for printing of <code><a href="NTH.html">nth</a></code>/<code><a href="UPDATE-NTH.html">update-nth</a></code> terms
</b><br><br>

<b><a href="REMOVE-RAW-ARITY.html">REMOVE-RAW-ARITY</a> -- remove arity information for raw mode
</b><br><br>

<b><a href="REMOVE-UNTOUCHABLE.html">REMOVE-UNTOUCHABLE</a> -- remove name or list of names to the list of untouchable symbols
</b><br><br>

<b><a href="REMOVE1.html">REMOVE1</a> -- remove first occurrences, testing using <code><a href="EQL.html">eql</a></code>
</b><br><br>

<b><a href="REMOVE1-EQ.html">REMOVE1-EQ</a> -- remove first occurrences, testing using <code><a href="EQ.html">eq</a></code>
</b><br><br>

<b><a href="REMOVE1-EQUAL.html">REMOVE1-EQUAL</a> -- remove first occurrences, testing using <code><a href="EQUAL.html">equal</a></code>
</b><br><br>

<b><a href="RESET-KILL-RING.html">RESET-KILL-RING</a> -- save memory by resetting and perhaps resizing the kill ring used by <code><a href="OOPS.html">oops</a></code>
</b><br><br>

<b><a href="RESET-LD-SPECIALS.html">RESET-LD-SPECIALS</a> -- restores initial settings of the <code><a href="LD.html">ld</a></code> specials
</b><br><br>

<b><a href="RESET-PREHISTORY.html">RESET-PREHISTORY</a> -- reset the prehistory
</b><br><br>

<b><a href="RESIZE-LIST.html">RESIZE-LIST</a> -- list resizer in support of stobjs
</b><br><br>

<b><a href="REST.html">REST</a> -- rest (<code><a href="CDR.html">cdr</a></code>) of the list
</b><br><br>

<b><a href="RESTRICT.html">RESTRICT</a> -- hints keyword <code>:RESTRICT</code>
</b><br><br>

<b><a href="RETRIEVE.html">RETRIEVE</a> -- re-enter a (specified) <a href="PROOF-CHECKER.html">proof-checker</a> state
</b><br><br>

<b><a href="REVAPPEND.html">REVAPPEND</a> -- concatentate the <a href="REVERSE.html">reverse</a> of one list to another
</b><br><br>

<b><a href="REVERSE.html">REVERSE</a> -- reverse a list or string
</b><br><br>

<b><a href="REWRITE.html">REWRITE</a> -- make some <code>:rewrite</code> rules (possibly conditional ones)
</b><br><br>

<b><a href="REWRITE-STACK-LIMIT.html">REWRITE-STACK-LIMIT</a> -- limiting the stack depth of the ACL2 rewriter
</b><br><br>

<b><a href="RFIX.html">RFIX</a> -- coerce to a rational number
</b><br><br>

<b><a href="ROUND.html">ROUND</a> -- division returning an integer by rounding off
</b><br><br>

<b><a href="RULE-CLASSES.html">RULE-CLASSES</a> -- adding rules to the data base
</b><br><br>

<b><a href="RULE-NAMES.html">RULE-NAMES</a> -- How rules are named.
</b><br><br>

<b><a href="RUNE.html">RUNE</a> -- a rule name
</b><br><br>

<b><a href="Revisiting_the_Admission_of_App.html">Revisiting the Admission of App</a> -- Revisiting the Admission of App
</b><br><br>

<b><a href="Rewrite_Rules_are_Generated_from_DEFTHM_Events.html">Rewrite Rules are Generated from DEFTHM Events</a> -- Rewrite Rules are Generated from DEFTHM Events
</b><br><br>

<b><a href="Running_Models.html">Running Models</a> -- Running Models
</b><br><br>


<BR><BR><H1><A NAME="S">S</A></H1>
<b><a href="SAVE-EXEC.html">SAVE-EXEC</a> -- save an executable image and (for most Common Lisps) a wrapper script
</b><br><br>

<b><a href="SAVING-AND-RESTORING.html">SAVING-AND-RESTORING</a> -- saving and restoring your logical state
</b><br><br>

<b><a href="SECOND.html">SECOND</a> -- second member of the list
</b><br><br>

<b><a href="SET-ACL2-PRINT-BASE.html">SET-ACL2-PRINT-BASE</a> -- control radix in which number are printed
</b><br><br>

<b><a href="SET-ACL2-PRINT-CASE.html">SET-ACL2-PRINT-CASE</a> -- control whether symbols are printed in upper case or in lower case
</b><br><br>

<b><a href="SET-BACKCHAIN-LIMIT.html">SET-BACKCHAIN-LIMIT</a> -- Sets the backchain-limit used by the rewriter
</b><br><br>

<b><a href="SET-BODY.html">SET-BODY</a> -- set the definition body
</b><br><br>

<b><a href="SET-BOGUS-MUTUAL-RECURSION-OK.html">SET-BOGUS-MUTUAL-RECURSION-OK</a> -- allow unnecessary ``mutual recursion'' 
</b><br><br>

<b><a href="SET-BRR-TERM-EVISC-TUPLE.html">SET-BRR-TERM-EVISC-TUPLE</a> -- controls printing of terms inside the <a href="BREAK-REWRITE.html">break-rewrite</a> loop
</b><br><br>

<b><a href="SET-CASE-SPLIT-LIMITATIONS.html">SET-CASE-SPLIT-LIMITATIONS</a> -- set the case-split-limitations
</b><br><br>

<b><a href="SET-CBD.html">SET-CBD</a> -- to set the connected book directory
</b><br><br>

<b><a href="SET-COMPILE-FNS.html">SET-COMPILE-FNS</a> -- have each function compiled as you go along.
</b><br><br>

<b><a href="SET-DEFAULT-BACKCHAIN-LIMIT.html">SET-DEFAULT-BACKCHAIN-LIMIT</a> -- sets the default backchain-limit used when admitting a rule
</b><br><br>

<b><a href="SET-DEFAULT-HINTS.html">SET-DEFAULT-HINTS</a> -- set the default hints
</b><br><br>

<b><a href="SET-DEFAULT-HINTS_bang_.html">SET-DEFAULT-HINTS!</a> -- set the default hints non-<code><a href="LOCAL.html">local</a></code>ly
</b><br><br>

<b><a href="SET-DIFFERENCE-EQ.html">SET-DIFFERENCE-EQ</a> -- elements of one list that are not elements of another
</b><br><br>

<b><a href="SET-DIFFERENCE-EQUAL.html">SET-DIFFERENCE-EQUAL</a> -- elements of one list that are not elements of another
</b><br><br>

<b><a href="SET-DIFFERENCE-THEORIES.html">SET-DIFFERENCE-THEORIES</a> -- difference of two <a href="THEORIES.html">theories</a>
</b><br><br>

<b><a href="SET-ENFORCE-REDUNDANCY.html">SET-ENFORCE-REDUNDANCY</a> -- require most events to be redundant
</b><br><br>

<b><a href="SET-GUARD-CHECKING.html">SET-GUARD-CHECKING</a> -- control checking <a href="GUARD.html">guard</a>s during execution of top-level forms
</b><br><br>

<b><a href="SET-IGNORE-OK.html">SET-IGNORE-OK</a> -- allow unused formals and locals without an <code>ignore</code> or <code>ignorable</code> declaration
</b><br><br>

<b><a href="SET-INHIBIT-OUTPUT-LST.html">SET-INHIBIT-OUTPUT-LST</a> -- control output
</b><br><br>

<b><a href="SET-INHIBIT-WARNINGS.html">SET-INHIBIT-WARNINGS</a> -- control warnings
</b><br><br>

<b><a href="SET-INVISIBLE-FNS-TABLE.html">SET-INVISIBLE-FNS-TABLE</a> -- set the invisible functions table
</b><br><br>

<b><a href="SET-IRRELEVANT-FORMALS-OK.html">SET-IRRELEVANT-FORMALS-OK</a> -- allow irrelevant formals in definitions
</b><br><br>

<b><a href="SET-LD-REDEFINITION-ACTION.html">SET-LD-REDEFINITION-ACTION</a> -- See <a href="LD-REDEFINITION-ACTION.html">ld-redefinition-action</a>.
</b><br><br>

<b><a href="SET-LD-SKIP-PROOFSP.html">SET-LD-SKIP-PROOFSP</a> -- See <a href="LD-SKIP-PROOFSP.html">ld-skip-proofsp</a>.
</b><br><br>

<b><a href="SET-LET_star_-ABSTRACTIONP.html">SET-LET*-ABSTRACTIONP</a> -- to shorten many prettyprinted clauses
</b><br><br>

<b><a href="SET-MATCH-FREE-DEFAULT.html">SET-MATCH-FREE-DEFAULT</a> -- provide default for <code>:match-free</code> in future rules
</b><br><br>

<b><a href="SET-MATCH-FREE-ERROR.html">SET-MATCH-FREE-ERROR</a> -- control error vs. warning when <code>:match-free</code> is missing
</b><br><br>

<b><a href="SET-MEASURE-FUNCTION.html">SET-MEASURE-FUNCTION</a> -- set the default measure function symbol
</b><br><br>

<b><a href="SET-NON-LINEARP.html">SET-NON-LINEARP</a> -- to turn on or off non-linear arithmetic reasoning
</b><br><br>

<b><a href="SET-NU-REWRITER-MODE.html">SET-NU-REWRITER-MODE</a> -- to turn on and off the nu-rewriter
</b><br><br>

<b><a href="SET-PRINT-CLAUSE-IDS.html">SET-PRINT-CLAUSE-IDS</a> -- cause subgoal numbers to be printed when <code>'prove</code> output is inhibited
</b><br><br>

<b><a href="SET-RAW-MODE.html">SET-RAW-MODE</a> -- enter or exit ``raw mode,'' a raw Lisp environment
</b><br><br>

<b><a href="SET-RAW-MODE-ON_bang_.html">SET-RAW-MODE-ON!</a> -- enter ``raw mode,'' a raw Lisp environment
</b><br><br>

<b><a href="SET-REWRITE-STACK-LIMIT.html">SET-REWRITE-STACK-LIMIT</a> -- Sets the rewrite stack depth used by the rewriter
</b><br><br>

<b><a href="SET-SAVED-OUTPUT.html">SET-SAVED-OUTPUT</a> -- save proof output for later display with <code>:</code><code><a href="PSO.html">pso</a></code> or <code>:</code><code><a href="PSO_bang_.html">pso!</a></code>
</b><br><br>

<b><a href="SET-STATE-OK.html">SET-STATE-OK</a> -- allow the use of STATE as a formal parameter
</b><br><br>

<b><a href="SET-TAINTED-OKP.html">SET-TAINTED-OKP</a> -- control output
</b><br><br>

<b><a href="SET-VERIFY-GUARDS-EAGERNESS.html">SET-VERIFY-GUARDS-EAGERNESS</a> -- the eagerness with which <a href="GUARD.html">guard</a> verification is tried.
</b><br><br>

<b><a href="SET-WELL-FOUNDED-RELATION.html">SET-WELL-FOUNDED-RELATION</a> -- set the default well-founded relation
</b><br><br>

<b><a href="SETENV$.html">SETENV$</a> -- set an environment variable
</b><br><br>

<b><a href="SEVENTH.html">SEVENTH</a> -- seventh member of the list
</b><br><br>

<b><a href="SHOW-BDD.html">SHOW-BDD</a> -- inspect failed BDD proof attempts
</b><br><br>

<b><a href="SHOW-BODIES.html">SHOW-BODIES</a> -- show the potential definition bodies
</b><br><br>

<b><a href="SIGNATURE.html">SIGNATURE</a> -- how to specify the arity of a constrained function
</b><br><br>

<b><a href="SIGNUM.html">SIGNUM</a> -- indicator for positive, negative, or zero
</b><br><br>

<b><a href="SIMPLE.html">SIMPLE</a> -- <code>:</code><code><a href="DEFINITION.html">definition</a></code> and <code>:</code><code><a href="REWRITE.html">rewrite</a></code> rules used in preprocessing
</b><br><br>

<b><a href="SIXTH.html">SIXTH</a> -- sixth member of the list
</b><br><br>

<b><a href="SKIP-PROOFS.html">SKIP-PROOFS</a> -- skip proofs for a given form -- a quick way to introduce unsoundness
</b><br><br>

<b><a href="SLOW-ARRAY-WARNING.html">SLOW-ARRAY-WARNING</a> -- a warning issued when <a href="ARRAYS.html">arrays</a> are used inefficiently
</b><br><br>

<b><a href="SOLUTION-TO-SIMPLE-EXAMPLE.html">SOLUTION-TO-SIMPLE-EXAMPLE</a> -- solution to a simple example
</b><br><br>

<b><a href="SPECIOUS-SIMPLIFICATION.html">SPECIOUS-SIMPLIFICATION</a> -- nonproductive proof steps
</b><br><br>

<b><a href="STANDARD-CHAR-LISTP.html">STANDARD-CHAR-LISTP</a> -- recognizer for a true list of standard characters
</b><br><br>

<b><a href="STANDARD-CHAR-P.html">STANDARD-CHAR-P</a> -- recognizer for standard characters
</b><br><br>

<b><a href="STANDARD-CO.html">STANDARD-CO</a> -- the character output channel to which <code><a href="LD.html">ld</a></code> prints
</b><br><br>

<b><a href="STANDARD-NUMBERP.html">STANDARD-NUMBERP</a> -- ACL2(r) recognizer for standard numbers
</b><br><br>

<b><a href="STANDARD-OI.html">STANDARD-OI</a> -- the standard object input ``channel''
</b><br><br>

<b><a href="STANDARD-PART.html">STANDARD-PART</a> -- ACL2(r) function mapping limited numbers to standard numbers
</b><br><br>

<b><a href="STANDARD-STRING-ALISTP.html">STANDARD-STRING-ALISTP</a> -- recognizer for association lists with standard strings as keys
</b><br><br>

<b><a href="START-PROOF-TREE.html">START-PROOF-TREE</a> -- start displaying proof trees during proofs
</b><br><br>

<b><a href="STARTUP.html">STARTUP</a> -- How to start using ACL2; the ACL2 <a href="COMMAND.html">command</a> loop
</b><br><br>

<b><a href="STATE.html">STATE</a> -- the von Neumannesque ACL2 state object
</b><br><br>

<b><a href="STOBJ.html">STOBJ</a> -- single-threaded objects or ``von Neumann bottlenecks''
</b><br><br>

<b><a href="STOBJ-EXAMPLE-1.html">STOBJ-EXAMPLE-1</a> -- an example of the use of single-threaded objects
</b><br><br>

<b><a href="STOBJ-EXAMPLE-1-DEFUNS.html">STOBJ-EXAMPLE-1-DEFUNS</a> -- the defuns created by the <code>counters</code> stobj
</b><br><br>

<b><a href="STOBJ-EXAMPLE-1-IMPLEMENTATION.html">STOBJ-EXAMPLE-1-IMPLEMENTATION</a> -- the implementation of the <code>counters</code> stobj
</b><br><br>

<b><a href="STOBJ-EXAMPLE-1-PROOFS.html">STOBJ-EXAMPLE-1-PROOFS</a> -- some proofs involving the <code>counters</code> stobj
</b><br><br>

<b><a href="STOBJ-EXAMPLE-2.html">STOBJ-EXAMPLE-2</a> -- an example of the use of arrays in single-threaded objects
</b><br><br>

<b><a href="STOBJ-EXAMPLE-3.html">STOBJ-EXAMPLE-3</a> -- another example of a single-threaded object
</b><br><br>

<b><a href="STOBJS.html">STOBJS</a> -- xargs keyword <code>:STOBJS</code>
</b><br><br>

<b><a href="STOP-PROOF-TREE.html">STOP-PROOF-TREE</a> -- stop displaying proof trees during proofs
</b><br><br>

<b><a href="STRING.html">STRING</a> -- <a href="COERCE.html">coerce</a> to a string
</b><br><br>

<b><a href="STRING-APPEND.html">STRING-APPEND</a> -- <a href="CONCATENATE.html">concatenate</a> two strings
</b><br><br>

<b><a href="STRING-DOWNCASE.html">STRING-DOWNCASE</a> -- in a given string, turn upper-case <a href="CHARACTERS.html">characters</a> into lower-case
</b><br><br>

<b><a href="STRING-EQUAL.html">STRING-EQUAL</a> -- string equality without regard to case
</b><br><br>

<b><a href="STRING-LISTP.html">STRING-LISTP</a> -- recognizer for a true list of strings
</b><br><br>

<b><a href="STRING-UPCASE.html">STRING-UPCASE</a> -- in a given string, turn lower-case <a href="CHARACTERS.html">characters</a> into upper-case
</b><br><br>

<b><a href="STRING_lt_.html">STRING&lt;</a> -- less-than test for strings
</b><br><br>

<b><a href="STRING_lt_=.html">STRING&lt;=</a> -- less-than-or-equal test for strings
</b><br><br>

<b><a href="STRING_gt_.html">STRING&gt;</a> -- greater-than test for strings
</b><br><br>

<b><a href="STRING_gt_=.html">STRING&gt;=</a> -- less-than-or-equal test for strings
</b><br><br>

<b><a href="STRINGP.html">STRINGP</a> -- recognizer for strings
</b><br><br>

<b><a href="STRIP-CARS.html">STRIP-CARS</a> -- collect up all first components of pairs in a list
</b><br><br>

<b><a href="STRIP-CDRS.html">STRIP-CDRS</a> -- collect up all second components of pairs in a list
</b><br><br>

<b><a href="SUBLIS.html">SUBLIS</a> -- substitute an alist into a tree
</b><br><br>

<b><a href="SUBSEQ.html">SUBSEQ</a> -- subsequence of a string or list
</b><br><br>

<b><a href="SUBSETP.html">SUBSETP</a> -- test if every <code><a href="MEMBER.html">member</a></code> of one list is a <code><a href="MEMBER.html">member</a></code> of the other
</b><br><br>

<b><a href="SUBSETP-EQUAL.html">SUBSETP-EQUAL</a> -- check if all members of one list are members of the other
</b><br><br>

<b><a href="SUBST.html">SUBST</a> -- a single substitution into a tree
</b><br><br>

<b><a href="SUBSTITUTE.html">SUBSTITUTE</a> -- substitute into a string or a list, using <code><a href="EQL.html">eql</a></code> as test
</b><br><br>

<b><a href="SUBVERSIVE-INDUCTIONS.html">SUBVERSIVE-INDUCTIONS</a> -- why we restrict <a href="ENCAPSULATE.html">encapsulate</a>d recursive functions
</b><br><br>

<b><a href="SUBVERSIVE-RECURSIONS.html">SUBVERSIVE-RECURSIONS</a> -- why we restrict <a href="ENCAPSULATE.html">encapsulate</a>d recursive functions
</b><br><br>

<b><a href="SYMBOL-_lt_.html">SYMBOL-&lt;</a> -- less-than test for symbols
</b><br><br>

<b><a href="SYMBOL-ALISTP.html">SYMBOL-ALISTP</a> -- recognizer for association lists with symbols as keys
</b><br><br>

<b><a href="SYMBOL-LISTP.html">SYMBOL-LISTP</a> -- recognizer for a true list of symbols
</b><br><br>

<b><a href="SYMBOL-NAME.html">SYMBOL-NAME</a> -- the name of a symbol (a string)
</b><br><br>

<b><a href="SYMBOL-PACKAGE-NAME.html">SYMBOL-PACKAGE-NAME</a> -- the name of the package of a symbol (a string)
</b><br><br>

<b><a href="SYMBOLP.html">SYMBOLP</a> -- recognizer for symbols
</b><br><br>

<b><a href="SYNTAX.html">SYNTAX</a> -- the syntax of ACL2 is that of Common Lisp
</b><br><br>

<b><a href="SYNTAXP.html">SYNTAXP</a> -- attach a heuristic filter on a <code>:</code><code><a href="REWRITE.html">rewrite</a></code>, <code>:</code><code><a href="META.html">meta</a></code>, or <code>:</code><code><a href="LINEAR.html">linear</a></code> rule
</b><br><br>

<b><a href="SYNTAXP-EXAMPLES.html">SYNTAXP-EXAMPLES</a> -- examples pertaining to syntaxp hypotheses
</b><br><br>

<b><a href="SYS-CALL.html">SYS-CALL</a> -- make a system call to the host operating system
</b><br><br>

<b><a href="SYS-CALL-STATUS.html">SYS-CALL-STATUS</a> -- exit status from the preceding system call
</b><br><br>

<b><a href="Subsumption_of_Induction_Candidates_in_App_Example.html">Subsumption of Induction Candidates in App Example</a> -- Subsumption of Induction Candidates in App Example
</b><br><br>

<b><a href="Suggested_Inductions_in_the_Associativity_of_App_Example.html">Suggested Inductions in the Associativity of App Example</a> -- Suggested Inductions in the Associativity of App Example
</b><br><br>

<b><a href="Symbolic_Execution_of_Models.html">Symbolic Execution of Models</a> -- Symbolic Execution of Models
</b><br><br>


<BR><BR><H1><A NAME="T">T</A></H1>
<b><a href="TABLE.html">TABLE</a> -- user-managed tables
</b><br><br>

<b><a href="TAKE.html">TAKE</a> -- initial segment of a list
</b><br><br>

<b><a href="TENTH.html">TENTH</a> -- tenth member of the list
</b><br><br>

<b><a href="TERM.html">TERM</a> -- the three senses of well-formed ACL2 expressions or formulas
</b><br><br>

<b><a href="TERM-ORDER.html">TERM-ORDER</a> -- the ordering relation on terms used by ACL2
</b><br><br>

<b><a href="TERM-TABLE.html">TERM-TABLE</a> -- a table used to validate meta rules
</b><br><br>

<b><a href="THE.html">THE</a> -- run-time type check
</b><br><br>

<b><a href="THE-METHOD.html">THE-METHOD</a> -- how to find proofs
</b><br><br>

<b><a href="THEORIES.html">THEORIES</a> -- sets of <a href="RUNE.html">rune</a>s to enable/disable in concert
</b><br><br>

<b><a href="THEORY.html">THEORY</a> -- retrieve named theory
</b><br><br>

<b><a href="THEORY-FUNCTIONS.html">THEORY-FUNCTIONS</a> -- functions for obtaining or producing <a href="THEORIES.html">theories</a>
</b><br><br>

<b><a href="THEORY-INVARIANT.html">THEORY-INVARIANT</a> -- user-specified invariants on <a href="THEORIES.html">theories</a>
</b><br><br>

<b><a href="THIRD.html">THIRD</a> -- third member of the list
</b><br><br>

<b><a href="THM.html">THM</a> -- prove a theorem
</b><br><br>

<b><a href="TIDBITS.html">TIDBITS</a> -- some basic hints for using ACL2
</b><br><br>

<b><a href="TIME$.html">TIME$</a> -- time a form
</b><br><br>

<b><a href="TIPS.html">TIPS</a> -- some hints for using the ACL2 prover
</b><br><br>

<b><a href="TOGGLE-PC-MACRO.html">TOGGLE-PC-MACRO</a> -- change an ordinary macro command to an atomic macro, or vice-versa
</b><br><br>

<b><a href="TRACE.html">TRACE</a> -- tracing functions in ACL2
</b><br><br>

<b><a href="TRACE$.html">TRACE$</a> -- trace the indicated functions
</b><br><br>

<b><a href="TRANS.html">TRANS</a> -- print the macroexpansion of a form
</b><br><br>

<b><a href="TRANS_bang_.html">TRANS!</a> -- print the macroexpansion of a form without single-threadedness concerns
</b><br><br>

<b><a href="TRANS1.html">TRANS1</a> -- print the one-step macroexpansion of a form
</b><br><br>

<b><a href="TRUE-LIST-LISTP.html">TRUE-LIST-LISTP</a> -- recognizer for true (proper) lists of true lists
</b><br><br>

<b><a href="TRUE-LISTP.html">TRUE-LISTP</a> -- recognizer for proper (null-terminated) lists
</b><br><br>

<b><a href="TRUNCATE.html">TRUNCATE</a> -- division returning an integer by truncating toward 0
</b><br><br>

<b><a href="TTAGS-SEEN.html">TTAGS-SEEN</a> -- list some declared trust tags (ttags)
</b><br><br>

<b><a href="TTREE.html">TTREE</a> -- tag trees
</b><br><br>

<b><a href="TUTORIAL-EXAMPLES.html">TUTORIAL-EXAMPLES</a> -- examples of ACL2 usage
</b><br><br>

<b><a href="TUTORIAL1-TOWERS-OF-HANOI.html">TUTORIAL1-TOWERS-OF-HANOI</a> -- The Towers of Hanoi Example
</b><br><br>

<b><a href="TUTORIAL2-EIGHTS-PROBLEM.html">TUTORIAL2-EIGHTS-PROBLEM</a> -- The Eights Problem Example
</b><br><br>

<b><a href="TUTORIAL3-PHONEBOOK-EXAMPLE.html">TUTORIAL3-PHONEBOOK-EXAMPLE</a> -- A Phonebook Specification
</b><br><br>

<b><a href="TUTORIAL4-DEFUN-SK-EXAMPLE.html">TUTORIAL4-DEFUN-SK-EXAMPLE</a> -- example of quantified notions
</b><br><br>

<b><a href="TUTORIAL5-MISCELLANEOUS-EXAMPLES.html">TUTORIAL5-MISCELLANEOUS-EXAMPLES</a> -- miscellaneous ACL2 examples
</b><br><br>

<b><a href="TYPE-PRESCRIPTION.html">TYPE-PRESCRIPTION</a> -- make a rule that specifies the type of a term
</b><br><br>

<b><a href="TYPE-SET.html">TYPE-SET</a> -- how type information is encoded in ACL2
</b><br><br>

<b><a href="TYPE-SET-INVERTER.html">TYPE-SET-INVERTER</a> -- exhibit a new decoding for an ACL2 type-set
</b><br><br>

<b><a href="TYPE-SPEC.html">TYPE-SPEC</a> -- type specifiers in declarations
</b><br><br>

<b><a href="The_Admission_of_App.html">The Admission of App</a> -- The Admission of App
</b><br><br>

<b><a href="The_Associativity_of_App.html">The Associativity of App</a> -- The Associativity of App
</b><br><br>

<b><a href="The_Base_Case_in_the_App_Example.html">The Base Case in the App Example</a> -- The Base Case in the App Example
</b><br><br>

<b><a href="The_End_of_the_Flying_Tour.html">The End of the Flying Tour</a> -- The End of the Flying Tour
</b><br><br>

<b><a href="The_End_of_the_Proof_of_the_Associativity_of_App.html">The End of the Proof of the Associativity of App</a> -- The End of the Proof of the Associativity of App
</b><br><br>

<b><a href="The_End_of_the_Walking_Tour.html">The End of the Walking Tour</a> -- The End of the Walking Tour
</b><br><br>

<b><a href="The_Event_Summary.html">The Event Summary</a> -- The Event Summary
</b><br><br>

<b><a href="The_Expansion_of_ENDP_in_the_Induction_Step__lparen_Step_0_rparen_.html">The Expansion of ENDP in the Induction Step (Step 0)</a> -- The Expansion of ENDP in the Induction Step (Step 0)
</b><br><br>

<b><a href="The_Expansion_of_ENDP_in_the_Induction_Step__lparen_Step_1_rparen_.html">The Expansion of ENDP in the Induction Step (Step 1)</a> -- The Expansion of ENDP in the Induction Step (Step 1)
</b><br><br>

<b><a href="The_Expansion_of_ENDP_in_the_Induction_Step__lparen_Step_2_rparen_.html">The Expansion of ENDP in the Induction Step (Step 2)</a> -- The Expansion of ENDP in the Induction Step (Step 2)
</b><br><br>

<b><a href="The_Falling_Body_Model.html">The Falling Body Model</a> -- The Falling Body Model
</b><br><br>

<b><a href="The_Final_Simplification_in_the_Base_Case__lparen_Step_0_rparen_.html">The Final Simplification in the Base Case (Step 0)</a> -- the Final Simplification in the Base Case (Step 0)
</b><br><br>

<b><a href="The_Final_Simplification_in_the_Base_Case__lparen_Step_1_rparen_.html">The Final Simplification in the Base Case (Step 1)</a> -- the Final Simplification in the Base Case (Step 1)
</b><br><br>

<b><a href="The_Final_Simplification_in_the_Base_Case__lparen_Step_2_rparen_.html">The Final Simplification in the Base Case (Step 2)</a> -- the Final Simplification in the Base Case (Step 2)
</b><br><br>

<b><a href="The_Final_Simplification_in_the_Base_Case__lparen_Step_3_rparen_.html">The Final Simplification in the Base Case (Step 3)</a> -- the Final Simplification in the Base Case (Step 3)
</b><br><br>

<b><a href="The_First_Application_of_the_Associativity_Rule.html">The First Application of the Associativity Rule</a> -- The First Application of the Associativity Rule
</b><br><br>

<b><a href="The_Induction_Scheme_Selected_for_the_App_Example.html">The Induction Scheme Selected for the App Example</a> -- The Induction Scheme Selected for the App Example
</b><br><br>

<b><a href="The_Induction_Step_in_the_App_Example.html">The Induction Step in the App Example</a> -- The Induction Step in the App Example
</b><br><br>

<b><a href="The_Instantiation_of_the_Induction_Scheme.html">The Instantiation of the Induction Scheme</a> -- The Instantiation of the Induction Scheme
</b><br><br>

<b><a href="The_Justification_of_the_Induction_Scheme.html">The Justification of the Induction Scheme</a> -- The Justification of the Induction Scheme
</b><br><br>

<b><a href="The_Proof_of_the_Associativity_of_App.html">The Proof of the Associativity of App</a> -- The Proof of the Associativity of App
</b><br><br>

<b><a href="The_Q.E.D._Message.html">The Q.E.D. Message</a> -- The Q.E.D. Message
</b><br><br>

<b><a href="The_Rules_used_in_the_Associativity_of_App_Proof.html">The Rules used in the Associativity of App Proof</a> -- The Rules used in the Associativity of App Proof
</b><br><br>

<b><a href="The_Simplification_of_the_Induction_Conclusion__lparen_Step_0_rparen_.html">The Simplification of the Induction Conclusion (Step 0)</a> -- the Simplification of the Induction Conclusion (Step 0)
</b><br><br>

<b><a href="The_Simplification_of_the_Induction_Conclusion__lparen_Step_1_rparen_.html">The Simplification of the Induction Conclusion (Step 1)</a> -- the Simplification of the Induction Conclusion (Step 1)
</b><br><br>

<b><a href="The_Simplification_of_the_Induction_Conclusion__lparen_Step_10_rparen_.html">The Simplification of the Induction Conclusion (Step 10)</a> -- the Simplification of the Induction Conclusion (Step 10)
</b><br><br>

<b><a href="The_Simplification_of_the_Induction_Conclusion__lparen_Step_11_rparen_.html">The Simplification of the Induction Conclusion (Step 11)</a> -- the Simplification of the Induction Conclusion (Step 11)
</b><br><br>

<b><a href="The_Simplification_of_the_Induction_Conclusion__lparen_Step_12_rparen_.html">The Simplification of the Induction Conclusion (Step 12)</a> -- the Simplification of the Induction Conclusion (Step 12)
</b><br><br>

<b><a href="The_Simplification_of_the_Induction_Conclusion__lparen_Step_2_rparen_.html">The Simplification of the Induction Conclusion (Step 2)</a> -- the Simplification of the Induction Conclusion (Step 2)
</b><br><br>

<b><a href="The_Simplification_of_the_Induction_Conclusion__lparen_Step_3_rparen_.html">The Simplification of the Induction Conclusion (Step 3)</a> -- the Simplification of the Induction Conclusion (Step 3)
</b><br><br>

<b><a href="The_Simplification_of_the_Induction_Conclusion__lparen_Step_4_rparen_.html">The Simplification of the Induction Conclusion (Step 4)</a> -- the Simplification of the Induction Conclusion (Step 4)
</b><br><br>

<b><a href="The_Simplification_of_the_Induction_Conclusion__lparen_Step_5_rparen_.html">The Simplification of the Induction Conclusion (Step 5)</a> -- the Simplification of the Induction Conclusion (Step 5)
</b><br><br>

<b><a href="The_Simplification_of_the_Induction_Conclusion__lparen_Step_6_rparen_.html">The Simplification of the Induction Conclusion (Step 6)</a> -- the Simplification of the Induction Conclusion (Step 6)
</b><br><br>

<b><a href="The_Simplification_of_the_Induction_Conclusion__lparen_Step_7_rparen_.html">The Simplification of the Induction Conclusion (Step 7)</a> -- the Simplification of the Induction Conclusion (Step 7)
</b><br><br>

<b><a href="The_Simplification_of_the_Induction_Conclusion__lparen_Step_8_rparen_.html">The Simplification of the Induction Conclusion (Step 8)</a> -- the Simplification of the Induction Conclusion (Step 8)
</b><br><br>

<b><a href="The_Simplification_of_the_Induction_Conclusion__lparen_Step_9_rparen_.html">The Simplification of the Induction Conclusion (Step 9)</a> -- the Simplification of the Induction Conclusion (Step 9)
</b><br><br>

<b><a href="The_Summary_of_the_Proof_of_the_Trivial_Consequence.html">The Summary of the Proof of the Trivial Consequence</a> -- The Summary of the Proof of the Trivial Consequence
</b><br><br>

<b><a href="The_Theorem_that_App_is_Associative.html">The Theorem that App is Associative</a> -- The Theorem that App is Associative
</b><br><br>

<b><a href="The_Time_Taken_to_do_the_Associativity_of_App_Proof.html">The Time Taken to do the Associativity of App Proof</a> -- The Time Taken to do the Associativity of App Proof
</b><br><br>

<b><a href="The_Tours.html">The Tours</a> -- The Tours
</b><br><br>

<b><a href="The_WARNING_about_the_Trivial_Consequence.html">The WARNING about the Trivial Consequence</a> -- The WARNING about the Trivial Consequence
</b><br><br>


<BR><BR><H1><A NAME="U">U</A></H1>
<b><a href="U.html">U</a> -- undo last <a href="COMMAND.html">command</a>, without a query
</b><br><br>

<b><a href="UBT.html">UBT</a> -- undo the <a href="COMMAND.html">command</a>s back through a <a href="COMMAND.html">command</a> descriptor
</b><br><br>

<b><a href="UBT_bang_.html">UBT!</a> -- undo <a href="COMMAND.html">command</a>s, without a query or an error
</b><br><br>

<b><a href="UBT-PREHISTORY.html">UBT-PREHISTORY</a> -- undo the <a href="COMMAND.html">command</a>s back through the last <code><a href="RESET-PREHISTORY.html">reset-prehistory</a></code> event
</b><br><br>

<b><a href="UBU.html">UBU</a> -- undo the <a href="COMMAND.html">command</a>s back up to (not including) a <a href="COMMAND.html">command</a> descriptor
</b><br><br>

<b><a href="UBU_bang_.html">UBU!</a> -- undo <a href="COMMAND.html">command</a>s, without a query or an error
</b><br><br>

<b><a href="UNARY--.html">UNARY--</a> -- arithmetic negation function
</b><br><br>

<b><a href="UNARY-_slash_.html">UNARY-/</a> -- reciprocal function
</b><br><br>

<b><a href="UNCERTIFIED-BOOKS.html">UNCERTIFIED-BOOKS</a> -- invalid <a href="CERTIFICATE.html">certificate</a>s and uncertified <a href="BOOKS.html">books</a>
</b><br><br>

<b><a href="UNION-EQ.html">UNION-EQ</a> -- union of two lists of symbols
</b><br><br>

<b><a href="UNION-EQUAL.html">UNION-EQUAL</a> -- union of two lists
</b><br><br>

<b><a href="UNION-THEORIES.html">UNION-THEORIES</a> -- union two <a href="THEORIES.html">theories</a>
</b><br><br>

<b><a href="UNIVERSAL-THEORY.html">UNIVERSAL-THEORY</a> -- all rules as of logical name
</b><br><br>

<b><a href="UNMONITOR.html">UNMONITOR</a> -- to stop monitoring a rule name
</b><br><br>

<b><a href="UNSAVE.html">UNSAVE</a> -- remove a <a href="PROOF-CHECKER.html">proof-checker</a> state
</b><br><br>

<b><a href="UNTRACE$.html">UNTRACE$</a> -- untrace functions
</b><br><br>

<b><a href="UNTRANSLATE.html">UNTRANSLATE</a> -- See <a href="USER-DEFINED-FUNCTIONS-TABLE.html">user-defined-functions-table</a>.
</b><br><br>

<b><a href="UPDATE-NTH.html">UPDATE-NTH</a> -- modify a list by putting the given value at the given position
</b><br><br>

<b><a href="UPPER-CASE-P.html">UPPER-CASE-P</a> -- recognizer for upper case characters
</b><br><br>

<b><a href="USE.html">USE</a> -- hints keyword <code>:USE</code>
</b><br><br>

<b><a href="USER-DEFINED-FUNCTIONS-TABLE.html">USER-DEFINED-FUNCTIONS-TABLE</a> -- an advanced <a href="TABLE.html">table</a> used to replace certain system functions
</b><br><br>

<b><a href="USING-COMPUTED-HINTS.html">USING-COMPUTED-HINTS</a> -- how to use computed hints
</b><br><br>

<b><a href="USING-COMPUTED-HINTS-1.html">USING-COMPUTED-HINTS-1</a> -- Driving Home the Basics
</b><br><br>

<b><a href="USING-COMPUTED-HINTS-2.html">USING-COMPUTED-HINTS-2</a> -- One Hint to Every Top-Level Goal in a Forcing Round
</b><br><br>

<b><a href="USING-COMPUTED-HINTS-3.html">USING-COMPUTED-HINTS-3</a> -- Hints as a Function of the Goal (not its Name)
</b><br><br>

<b><a href="USING-COMPUTED-HINTS-4.html">USING-COMPUTED-HINTS-4</a> -- Computing the Hints
</b><br><br>

<b><a href="USING-COMPUTED-HINTS-5.html">USING-COMPUTED-HINTS-5</a> -- Debugging Computed Hints
</b><br><br>

<b><a href="USING-COMPUTED-HINTS-6.html">USING-COMPUTED-HINTS-6</a> -- Using the computed-hint-replacement feature
</b><br><br>

<b><a href="USING-COMPUTED-HINTS-7.html">USING-COMPUTED-HINTS-7</a> -- Using the <code>stable-under-simplificationp</code> flag
</b><br><br>

<b><a href="USING-COMPUTED-HINTS-8.html">USING-COMPUTED-HINTS-8</a> -- Some Final Comments
</b><br><br>

<b><a href="Undocumented_Topic.html">Undocumented Topic</a> -- Undocumented Topic
</b><br><br>

<b><a href="Using_the_Associativity_of_App_to_Prove_a_Trivial_Consequence.html">Using the Associativity of App to Prove a Trivial Consequence</a> -- Using the Associativity of App to Prove a Trivial Consequence
</b><br><br>


<BR><BR><H1><A NAME="V">V</A></H1>
<b><a href="VERBOSE-PSTACK.html">VERBOSE-PSTACK</a> -- seeing what is the prover up to (for advanced users)
</b><br><br>

<b><a href="VERIFY.html">VERIFY</a> -- enter the interactive proof checker
</b><br><br>

<b><a href="VERIFY-GUARDS.html">VERIFY-GUARDS</a> -- verify the <a href="GUARD.html">guard</a>s of a function
</b><br><br>

<b><a href="VERIFY-TERMINATION.html">VERIFY-TERMINATION</a> -- convert a function from :program mode to :logic mode
</b><br><br>

<b><a href="VERSION.html">VERSION</a> -- ACL2 Version Number
</b><br><br>


<BR><BR><H1><A NAME="W">W</A></H1>
<b><a href="WELL-FOUNDED-RELATION.html">WELL-FOUNDED-RELATION</a> -- show that a relation is well-founded on a set
</b><br><br>

<b><a href="WET.html">WET</a> -- evaluate a form and print subsequent error trace
</b><br><br>

<b><a href="WHY-BRR.html">WHY-BRR</a> -- an explanation of why ACL2 has an explicit <code><a href="BRR.html">brr</a></code> mode
</b><br><br>

<b><a href="WITH-ERROR-TRACE.html">WITH-ERROR-TRACE</a> -- evaluate a form and print subsequent error trace
</b><br><br>

<b><a href="WITH-LOCAL-STOBJ.html">WITH-LOCAL-STOBJ</a> -- locally bind a single-threaded object
</b><br><br>

<b><a href="WITH-OUTPUT.html">WITH-OUTPUT</a> -- suppressing or turning on specified output for an event
</b><br><br>

<b><a href="WITH-PROVER-TIME-LIMIT.html">WITH-PROVER-TIME-LIMIT</a> -- limit the time for proofs
</b><br><br>

<b><a href="WORLD.html">WORLD</a> -- ACL2 property lists and the ACL2 logical data base
</b><br><br>

<b><a href="WORMHOLE.html">WORMHOLE</a> -- <code><a href="LD.html">ld</a></code> without <code><a href="STATE.html">state</a></code> -- a short-cut to a parallel universe
</b><br><br>

<b><a href="WORMHOLE-P.html">WORMHOLE-P</a> -- predicate to determine if you are inside a <code><a href="WORMHOLE.html">wormhole</a></code>
</b><br><br>

<b><a href="WRITE-BYTE$.html">WRITE-BYTE$</a> -- See <a href="IO.html">io</a>.
</b><br><br>

<b><a href="What_Is_ACL2_lparen_Q_rparen_.html">What Is ACL2(Q)</a> -- What Is ACL2?
</b><br><br>

<b><a href="What_is_Required_of_the_User_lparen_Q_rparen_.html">What is Required of the User(Q)</a> -- What is Required of the User?
</b><br><br>

<b><a href="What_is_a_Mathematical_Logic_lparen_Q_rparen_.html">What is a Mathematical Logic(Q)</a> -- What is a Mathematical Logic?
</b><br><br>

<b><a href="What_is_a_Mechanical_Theorem_Prover_lparen_Q_rparen_.html">What is a Mechanical Theorem Prover(Q)</a> -- What is a Mechanical Theorem Prover?
</b><br><br>

<b><a href="What_is_a_Mechanical_Theorem_Prover_lparen_Q_rparen___lparen_cont_rparen_.html">What is a Mechanical Theorem Prover(Q) (cont)</a> -- What is a Mechanical Theorem Prover? (cont)
</b><br><br>


<BR><BR><H1><A NAME="X">X</A></H1>
<b><a href="XARGS.html">XARGS</a> -- giving <a href="HINTS.html">hints</a> to <code><a href="DEFUN.html">defun</a></code>
</b><br><br>


<BR><BR><H1><A NAME="Y">Y</A></H1>
<b><a href="You_Must_Think_about_the_Use_of_a_Formula_as_a_Rule.html">You Must Think about the Use of a Formula as a Rule</a> -- You Must Think about the Use of a Formula as a Rule
</b><br><br>


<BR><BR><H1><A NAME="Z">Z</A></H1>
<b><a href="ZERO-TEST-IDIOMS.html">ZERO-TEST-IDIOMS</a> -- how to test for 0
</b><br><br>

<b><a href="ZEROP.html">ZEROP</a> -- test an acl2-number against 0
</b><br><br>

<b><a href="ZIP.html">ZIP</a> -- testing an ``integer'' against 0
</b><br><br>

<b><a href="ZP.html">ZP</a> -- testing a ``natural'' against 0
</b><br><br>

<b><a href="ZPF.html">ZPF</a> -- testing a nonnegative fixnum against 0
</b><br><br>


<BR><BR><H1><A NAME="ACL2-PC::">ACL2-PC::</A></H1>
<b><a href="ACL2-PC_colon__colon_=.html">ACL2-PC::=</a> -- (atomic macro)
<br><code>  </code>attempt an equality (or equivalence) substitution
</b><br><br>

<b><a href="ACL2-PC_colon__colon_ACL2-WRAP.html">ACL2-PC::ACL2-WRAP</a> -- (macro)
<br><code>  </code>same as <code>(lisp x)</code>
</b><br><br>

<b><a href="ACL2-PC_colon__colon_ADD-ABBREVIATION.html">ACL2-PC::ADD-ABBREVIATION</a> -- (primitive)
<br><code>  </code>add an abbreviation
</b><br><br>

<b><a href="ACL2-PC_colon__colon_BASH.html">ACL2-PC::BASH</a> -- (atomic macro)
<br><code>  </code>call the ACL2 theorem prover's simplifier
</b><br><br>

<b><a href="ACL2-PC_colon__colon_BDD.html">ACL2-PC::BDD</a> -- (atomic macro)
<br><code>  </code>prove the current goal using bdds
</b><br><br>

<b><a href="ACL2-PC_colon__colon_BK.html">ACL2-PC::BK</a> -- (atomic macro)
<br><code>  </code>move backward one argument in the enclosing term
</b><br><br>

<b><a href="ACL2-PC_colon__colon_BOOKMARK.html">ACL2-PC::BOOKMARK</a> -- (macro)
<br><code>  </code>insert matching ``bookends'' comments
</b><br><br>

<b><a href="ACL2-PC_colon__colon_CASESPLIT.html">ACL2-PC::CASESPLIT</a> -- (primitive)
<br><code>  </code>split into two cases
</b><br><br>

<b><a href="ACL2-PC_colon__colon_CG.html">ACL2-PC::CG</a> -- (macro)
<br><code>  </code>change to another goal.
</b><br><br>

<b><a href="ACL2-PC_colon__colon_CHANGE-GOAL.html">ACL2-PC::CHANGE-GOAL</a> -- (primitive)
<br><code>  </code>change to another goal.
</b><br><br>

<b><a href="ACL2-PC_colon__colon_CLAIM.html">ACL2-PC::CLAIM</a> -- (atomic macro)
<br><code>  </code>add a new hypothesis
</b><br><br>

<b><a href="ACL2-PC_colon__colon_COMM.html">ACL2-PC::COMM</a> -- (macro)
<br><code>  </code>display instructions from the current interactive session
</b><br><br>

<b><a href="ACL2-PC_colon__colon_COMMANDS.html">ACL2-PC::COMMANDS</a> -- (macro)
<br><code>  </code>display instructions from the current interactive session
</b><br><br>

<b><a href="ACL2-PC_colon__colon_COMMENT.html">ACL2-PC::COMMENT</a> -- (primitive)
<br><code>  </code>insert a comment
</b><br><br>

<b><a href="ACL2-PC_colon__colon_CONTRADICT.html">ACL2-PC::CONTRADICT</a> -- (macro)
<br><code>  </code>same as <code>contrapose</code>
</b><br><br>

<b><a href="ACL2-PC_colon__colon_CONTRAPOSE.html">ACL2-PC::CONTRAPOSE</a> -- (primitive)
<br><code>  </code>switch a hypothesis with the conclusion, negating both
</b><br><br>

<b><a href="ACL2-PC_colon__colon_DEMOTE.html">ACL2-PC::DEMOTE</a> -- (primitive)
<br><code>  </code>move top-level hypotheses to the conclusion
</b><br><br>

<b><a href="ACL2-PC_colon__colon_DIVE.html">ACL2-PC::DIVE</a> -- (primitive)
<br><code>  </code>move to the indicated subterm
</b><br><br>

<b><a href="ACL2-PC_colon__colon_DO-ALL.html">ACL2-PC::DO-ALL</a> -- (macro)
<br><code>  </code>run the given instructions
</b><br><br>

<b><a href="ACL2-PC_colon__colon_DO-ALL-NO-PROMPT.html">ACL2-PC::DO-ALL-NO-PROMPT</a> -- (macro)
<br><code>  </code>run the given instructions, halting once there is a ``failure''
</b><br><br>

<b><a href="ACL2-PC_colon__colon_DO-STRICT.html">ACL2-PC::DO-STRICT</a> -- (macro)
<br><code>  </code>run the given instructions, halting once there is a ``failure''
</b><br><br>

<b><a href="ACL2-PC_colon__colon_DROP.html">ACL2-PC::DROP</a> -- (primitive)
<br><code>  </code>drop top-level hypotheses
</b><br><br>

<b><a href="ACL2-PC_colon__colon_DV.html">ACL2-PC::DV</a> -- (atomic macro)
<br><code>  </code>move to the indicated subterm
</b><br><br>

<b><a href="ACL2-PC_colon__colon_ELIM.html">ACL2-PC::ELIM</a> -- (atomic macro)
<br><code>  </code>call the ACL2 theorem prover's elimination process
</b><br><br>

<b><a href="ACL2-PC_colon__colon_EQUIV.html">ACL2-PC::EQUIV</a> -- (primitive)
<br><code>  </code>attempt an equality (or congruence-based) substitution
</b><br><br>

<b><a href="ACL2-PC_colon__colon_EX.html">ACL2-PC::EX</a> -- (macro)
<br><code>  </code>exit after possibly saving the state
</b><br><br>

<b><a href="ACL2-PC_colon__colon_EXIT.html">ACL2-PC::EXIT</a> -- (meta)
<br><code>  </code>exit the interactive proof-checker
</b><br><br>

<b><a href="ACL2-PC_colon__colon_EXPAND.html">ACL2-PC::EXPAND</a> -- (primitive)
<br><code>  </code>expand the current function call without simplification
</b><br><br>

<b><a href="ACL2-PC_colon__colon_FAIL.html">ACL2-PC::FAIL</a> -- (macro)
<br><code>  </code>cause a failure
</b><br><br>

<b><a href="ACL2-PC_colon__colon_FORWARDCHAIN.html">ACL2-PC::FORWARDCHAIN</a> -- (atomic macro)
<br><code>  </code>forward chain from an implication in the hyps
</b><br><br>

<b><a href="ACL2-PC_colon__colon_FREE.html">ACL2-PC::FREE</a> -- (atomic macro)
<br><code>  </code>create a ``free variable''
</b><br><br>

<b><a href="ACL2-PC_colon__colon_GENERALIZE.html">ACL2-PC::GENERALIZE</a> -- (primitive)
<br><code>  </code>perform a generalization
</b><br><br>

<b><a href="ACL2-PC_colon__colon_GOALS.html">ACL2-PC::GOALS</a> -- (macro)
<br><code>  </code>list the names of goals on the stack
</b><br><br>

<b><a href="ACL2-PC_colon__colon_HELP.html">ACL2-PC::HELP</a> -- (macro)
<br><code>  </code>proof-checker help facility
</b><br><br>

<b><a href="ACL2-PC_colon__colon_HELP_bang_.html">ACL2-PC::HELP!</a> -- (macro)
<br><code>  </code>proof-checker help facility
</b><br><br>

<b><a href="ACL2-PC_colon__colon_HELP-LONG.html">ACL2-PC::HELP-LONG</a> -- (macro)
<br><code>  </code>same as <code>help!</code>
</b><br><br>

<b><a href="ACL2-PC_colon__colon_HYPS.html">ACL2-PC::HYPS</a> -- (macro)
<br><code>  </code>print the hypotheses
</b><br><br>

<b><a href="ACL2-PC_colon__colon_ILLEGAL.html">ACL2-PC::ILLEGAL</a> -- (macro)
<br><code>  </code>illegal instruction
</b><br><br>

<b><a href="ACL2-PC_colon__colon_IN-THEORY.html">ACL2-PC::IN-THEORY</a> -- (primitive)
<br><code>  </code>set the current proof-checker theory
</b><br><br>

<b><a href="ACL2-PC_colon__colon_INDUCT.html">ACL2-PC::INDUCT</a> -- (atomic macro)
<br><code>  </code>generate subgoals using induction
</b><br><br>

<b><a href="ACL2-PC_colon__colon_LEMMAS-USED.html">ACL2-PC::LEMMAS-USED</a> -- (macro)
<br><code>  </code>print the runes (definitions, lemmas, ...) used
</b><br><br>

<b><a href="ACL2-PC_colon__colon_LISP.html">ACL2-PC::LISP</a> -- (meta)
<br><code>  </code>evaluate the given form in Lisp
</b><br><br>

<b><a href="ACL2-PC_colon__colon_MORE.html">ACL2-PC::MORE</a> -- (macro)
<br><code>  </code>proof-checker help facility
</b><br><br>

<b><a href="ACL2-PC_colon__colon_MORE_bang_.html">ACL2-PC::MORE!</a> -- (macro)
<br><code>  </code>proof-checker help facility
</b><br><br>

<b><a href="ACL2-PC_colon__colon_NEGATE.html">ACL2-PC::NEGATE</a> -- (macro)
<br><code>  </code>run the given instructions, and ``succeed'' if and only if they ``fail''
</b><br><br>

<b><a href="ACL2-PC_colon__colon_NIL.html">ACL2-PC::NIL</a> -- (macro)
<br><code>  </code>used for interpreting <code>control-d</code>
</b><br><br>

<b><a href="ACL2-PC_colon__colon_NOISE.html">ACL2-PC::NOISE</a> -- (meta)
<br><code>  </code>run instructions with output
</b><br><br>

<b><a href="ACL2-PC_colon__colon_NX.html">ACL2-PC::NX</a> -- (atomic macro)
<br><code>  </code>move forward one argument in the enclosing term
</b><br><br>

<b><a href="ACL2-PC_colon__colon_ORELSE.html">ACL2-PC::ORELSE</a> -- (macro)
<br><code>  </code>run the first instruction; if (and only if) it ``fails'', run the
<br><code>  </code>second
</b><br><br>

<b><a href="ACL2-PC_colon__colon_P.html">ACL2-PC::P</a> -- (macro)
<br><code>  </code>prettyprint the current term
</b><br><br>

<b><a href="ACL2-PC_colon__colon_P-TOP.html">ACL2-PC::P-TOP</a> -- (macro)
<br><code>  </code>prettyprint the conclusion, highlighting the current term
</b><br><br>

<b><a href="ACL2-PC_colon__colon_PP.html">ACL2-PC::PP</a> -- (macro)
<br><code>  </code>prettyprint the current term
</b><br><br>

<b><a href="ACL2-PC_colon__colon_PRINT.html">ACL2-PC::PRINT</a> -- (macro)
<br><code>  </code>print the result of evaluating the given form
</b><br><br>

<b><a href="ACL2-PC_colon__colon_PRINT-ALL-CONCS.html">ACL2-PC::PRINT-ALL-CONCS</a> -- (macro)
<br><code>  </code>print all the conclusions of (as yet unproved) goals
</b><br><br>

<b><a href="ACL2-PC_colon__colon_PRINT-ALL-GOALS.html">ACL2-PC::PRINT-ALL-GOALS</a> -- (macro)
<br><code>  </code>print all the (as yet unproved) goals
</b><br><br>

<b><a href="ACL2-PC_colon__colon_PRINT-MAIN.html">ACL2-PC::PRINT-MAIN</a> -- (macro)
<br><code>  </code>print the original goal
</b><br><br>

<b><a href="ACL2-PC_colon__colon_PRO.html">ACL2-PC::PRO</a> -- (atomic macro)
<br><code>  </code>repeatedly apply promote
</b><br><br>

<b><a href="ACL2-PC_colon__colon_PROMOTE.html">ACL2-PC::PROMOTE</a> -- (primitive)
<br><code>  </code>move antecedents of conclusion's <code>implies</code> term to top-level
<br><code>  </code>hypotheses
</b><br><br>

<b><a href="ACL2-PC_colon__colon_PROTECT.html">ACL2-PC::PROTECT</a> -- (macro)
<br><code>  </code>run the given instructions, reverting to existing state upon
<br><code>  </code>failure
</b><br><br>

<b><a href="ACL2-PC_colon__colon_PROVE.html">ACL2-PC::PROVE</a> -- (primitive)
<br><code>  </code>call the ACL2 theorem prover to prove the current goal
</b><br><br>

<b><a href="ACL2-PC_colon__colon_PSO.html">ACL2-PC::PSO</a> -- (macro)
<br><code>  </code>print the most recent proof attempt from inside the proof-checker
</b><br><br>

<b><a href="ACL2-PC_colon__colon_PSO_bang_.html">ACL2-PC::PSO!</a> -- (macro)
<br><code>  </code>print the most recent proof attempt from inside the proof-checker
</b><br><br>

<b><a href="ACL2-PC_colon__colon_PUT.html">ACL2-PC::PUT</a> -- (macro)
<br><code>  </code>substitute for a ``free variable''
</b><br><br>

<b><a href="ACL2-PC_colon__colon_QUIET.html">ACL2-PC::QUIET</a> -- (meta)
<br><code>  </code>run instructions without output
</b><br><br>

<b><a href="ACL2-PC_colon__colon_R.html">ACL2-PC::R</a> -- (macro)
<br><code>  </code>same as rewrite
</b><br><br>

<b><a href="ACL2-PC_colon__colon_REDUCE.html">ACL2-PC::REDUCE</a> -- (atomic macro)
<br><code>  </code>call the ACL2 theorem prover's simplifier
</b><br><br>

<b><a href="ACL2-PC_colon__colon_REDUCE-BY-INDUCTION.html">ACL2-PC::REDUCE-BY-INDUCTION</a> -- (macro)
<br><code>  </code>call the ACL2 prover without induction, after going into
<br><code>  </code>induction
</b><br><br>

<b><a href="ACL2-PC_colon__colon_REMOVE-ABBREVIATIONS.html">ACL2-PC::REMOVE-ABBREVIATIONS</a> -- (primitive)
<br><code>  </code>remove one or more abbreviations
</b><br><br>

<b><a href="ACL2-PC_colon__colon_REPEAT.html">ACL2-PC::REPEAT</a> -- (macro)
<br><code>  </code>repeat the given instruction until it ``fails''
</b><br><br>

<b><a href="ACL2-PC_colon__colon_REPEAT-REC.html">ACL2-PC::REPEAT-REC</a> -- (macro)
<br><code>  </code>auxiliary to <code>repeat</code>
</b><br><br>

<b><a href="ACL2-PC_colon__colon_REPLAY.html">ACL2-PC::REPLAY</a> -- (macro)
<br><code>  </code>replay one or more instructions
</b><br><br>

<b><a href="ACL2-PC_colon__colon_RESTORE.html">ACL2-PC::RESTORE</a> -- (meta)
<br><code>  </code>remove the effect of an UNDO command
</b><br><br>

<b><a href="ACL2-PC_colon__colon_RETAIN.html">ACL2-PC::RETAIN</a> -- (atomic macro)
<br><code>  </code>drop all <strong>but</strong> the indicated top-level hypotheses
</b><br><br>

<b><a href="ACL2-PC_colon__colon_RETRIEVE.html">ACL2-PC::RETRIEVE</a> -- (macro)
<br><code>  </code>re-enter the proof-checker
</b><br><br>

<b><a href="ACL2-PC_colon__colon_REWRITE.html">ACL2-PC::REWRITE</a> -- (primitive)
<br><code>  </code>apply a rewrite rule
</b><br><br>

<b><a href="ACL2-PC_colon__colon_RUN-INSTR-ON-GOAL.html">ACL2-PC::RUN-INSTR-ON-GOAL</a> -- (macro)
<br><code>  </code>auxiliary to THEN
</b><br><br>

<b><a href="ACL2-PC_colon__colon_RUN-INSTR-ON-NEW-GOALS.html">ACL2-PC::RUN-INSTR-ON-NEW-GOALS</a> -- (macro)
<br><code>  </code>auxiliary to <code>then</code>
</b><br><br>

<b><a href="ACL2-PC_colon__colon_RUNES.html">ACL2-PC::RUNES</a> -- (macro)
<br><code>  </code>print the runes (definitions, lemmas, ...) used
</b><br><br>

<b><a href="ACL2-PC_colon__colon_S.html">ACL2-PC::S</a> -- (primitive)
<br><code>  </code>simplify the current subterm
</b><br><br>

<b><a href="ACL2-PC_colon__colon_S-PROP.html">ACL2-PC::S-PROP</a> -- (atomic macro)
<br><code>  </code>simplify propositionally
</b><br><br>

<b><a href="ACL2-PC_colon__colon_SAVE.html">ACL2-PC::SAVE</a> -- (macro)
<br><code>  </code>save the proof-checker state (state-stack)
</b><br><br>

<b><a href="ACL2-PC_colon__colon_SEQUENCE.html">ACL2-PC::SEQUENCE</a> -- (meta)
<br><code>  </code>run the given list of instructions according to a multitude of
<br><code>  </code>options
</b><br><br>

<b><a href="ACL2-PC_colon__colon_SHOW-ABBREVIATIONS.html">ACL2-PC::SHOW-ABBREVIATIONS</a> -- (macro)
<br><code>  </code>display the current abbreviations
</b><br><br>

<b><a href="ACL2-PC_colon__colon_SHOW-REWRITES.html">ACL2-PC::SHOW-REWRITES</a> -- (macro)
<br><code>  </code>display the applicable rewrite rules
</b><br><br>

<b><a href="ACL2-PC_colon__colon_SKIP.html">ACL2-PC::SKIP</a> -- (macro)
<br><code>  </code>``succeed'' without doing anything
</b><br><br>

<b><a href="ACL2-PC_colon__colon_SL.html">ACL2-PC::SL</a> -- (atomic macro)
<br><code>  </code>simplify with lemmas
</b><br><br>

<b><a href="ACL2-PC_colon__colon_SPLIT.html">ACL2-PC::SPLIT</a> -- (atomic macro)
<br><code>  </code>split the current goal into cases
</b><br><br>

<b><a href="ACL2-PC_colon__colon_SR.html">ACL2-PC::SR</a> -- (macro)
<br><code>  </code>same as SHOW-REWRITES
</b><br><br>

<b><a href="ACL2-PC_colon__colon_SUCCEED.html">ACL2-PC::SUCCEED</a> -- (macro)
<br><code>  </code>run the given instructions, and ``succeed''
</b><br><br>

<b><a href="ACL2-PC_colon__colon_TH.html">ACL2-PC::TH</a> -- (macro)
<br><code>  </code>print the top-level hypotheses and the current subterm
</b><br><br>

<b><a href="ACL2-PC_colon__colon_THEN.html">ACL2-PC::THEN</a> -- (macro)
<br><code>  </code>apply one instruction to current goal and another to new subgoals
</b><br><br>

<b><a href="ACL2-PC_colon__colon_TOP.html">ACL2-PC::TOP</a> -- (atomic macro)
<br><code>  </code>move to the top of the goal
</b><br><br>

<b><a href="ACL2-PC_colon__colon_TYPE-ALIST.html">ACL2-PC::TYPE-ALIST</a> -- (macro)
<br><code>  </code>display the type-alist from the current context
</b><br><br>

<b><a href="ACL2-PC_colon__colon_UNDO.html">ACL2-PC::UNDO</a> -- (meta)
<br><code>  </code>undo some instructions
</b><br><br>

<b><a href="ACL2-PC_colon__colon_UNSAVE.html">ACL2-PC::UNSAVE</a> -- (macro)
<br><code>  </code>remove a proof-checker state
</b><br><br>

<b><a href="ACL2-PC_colon__colon_UP.html">ACL2-PC::UP</a> -- (primitive)
<br><code>  </code>move to the parent (or some ancestor) of the current subterm
</b><br><br>

<b><a href="ACL2-PC_colon__colon_USE.html">ACL2-PC::USE</a> -- (atomic macro)
<br><code>  </code>use a lemma instance
</b><br><br>

<b><a href="ACL2-PC_colon__colon_WRAP.html">ACL2-PC::WRAP</a> -- (atomic macro)
<br><code>  </code>execute the indicated instructions and combine all the new goals
</b><br><br>

<b><a href="ACL2-PC_colon__colon_WRAP-INDUCT.html">ACL2-PC::WRAP-INDUCT</a> -- (atomic macro)
<br><code>  </code>same as induct, but create a single goal
</b><br><br>

<b><a href="ACL2-PC_colon__colon_WRAP1.html">ACL2-PC::WRAP1</a> -- (primitive)
<br><code>  </code>combine goals into a single goal
</b><br><br>

<b><a href="ACL2-PC_colon__colon_X.html">ACL2-PC::X</a> -- (atomic macro)
<br><code>  </code>expand and (maybe) simplify function call at the current subterm
</b><br><br>

<b><a href="ACL2-PC_colon__colon_X-DUMB.html">ACL2-PC::X-DUMB</a> -- (atomic macro)
<br><code>  </code>expand function call at the current subterm, without simplifying
</b><br><br>




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