File: aux-split-negated-if.lisp

package info (click to toggle)
acl2 8.5dfsg-5
  • links: PTS
  • area: main
  • in suites: bookworm
  • size: 991,452 kB
  • sloc: lisp: 15,567,759; javascript: 22,820; cpp: 13,929; ansic: 12,092; perl: 7,150; java: 4,405; xml: 3,884; makefile: 3,507; sh: 3,187; ruby: 2,633; ml: 763; python: 746; yacc: 723; awk: 295; csh: 186; php: 171; lex: 154; tcl: 49; asm: 23; haskell: 17
file content (190 lines) | stat: -rw-r--r-- 8,007 bytes parent folder | download | duplicates (8)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
; Milawa - A Reflective Theorem Prover
; Copyright (C) 2005-2009 Kookamara LLC
;
; Contact:
;
;   Kookamara LLC
;   11410 Windermere Meadows
;   Austin, TX 78759, USA
;   http://www.kookamara.com/
;
; License: (An MIT/X11-style license)
;
;   Permission is hereby granted, free of charge, to any person obtaining a
;   copy of this software and associated documentation files (the "Software"),
;   to deal in the Software without restriction, including without limitation
;   the rights to use, copy, modify, merge, publish, distribute, sublicense,
;   and/or sell copies of the Software, and to permit persons to whom the
;   Software is furnished to do so, subject to the following conditions:
;
;   The above copyright notice and this permission notice shall be included in
;   all copies or substantial portions of the Software.
;
;   THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
;   IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
;   FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
;   AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
;   LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
;   FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
;   DEALINGS IN THE SOFTWARE.
;
; Original author: Jared Davis <jared@kookamara.com>

(in-package "MILAWA")
(include-book "aux-split")
(%interactive)


#||

An experiment to see if it's worth improving eqtrace-bldr-okp... it helps, but
it probably isn't worth the trouble.

;(defund rw.slow-hypbox-arities (x)
  (declare (xargs :guard (rw.hypboxp x)))
  (app (logic.slow-term-list-arities (rw.hypbox->left x))
       (logic.slow-term-list-arities (rw.hypbox->right x))))

;(defund rw.hypbox-arities (x acc)
  (declare (xargs :guard (and (rw.hypboxp x)
                              (true-listp acc))))
  (logic.term-list-arities (rw.hypbox->left x)
                           (logic.term-list-arities (rw.hypbox->right x)
                                                    acc)))

(defthm true-listp-of-rw.hypbox-arities
  (implies (force (true-listp acc))
           (equal (true-listp (rw.hypbox-arities x acc))
                  t))
  :hints(("Goal" :in-theory (enable rw.hypbox-arities))))

(defthm rw.hypbox-arities-removal
  (implies (force (true-listp acc))
           (equal (rw.hypbox-arities x acc)
                  (app (rw.slow-hypbox-arities x) acc)))
  :hints(("Goal" :in-theory (enable rw.hypbox-arities
                                    rw.slow-hypbox-arities))))

(defthm rw.slow-hypbox-arities-correct
  (implies (force (rw.hypboxp x))
           (equal (logic.arities-okp (rw.slow-hypbox-arities x) atbl)
                  (rw.hypbox-atblp x atbl)))
  :hints(("Goal"
          :in-theory (e/d (rw.slow-hypbox-arities
                           rw.hypbox-atblp)
                          ((:executable-counterpart acl2::force))))))

(definlined rw.fast-hypbox-atblp (x atbl)
  (declare (xargs :guard (and (rw.hypboxp x)
                              (logic.arity-tablep atbl))))
  ;; This is a generally faster check than rw.hypbox-atblp.  The speed advantage
  ;; comes from collecting and mergesorting the function names (to remove dupes)
  ;; before arity checking begins.
  ;;
  ;; We could consider using mergesort-map on arity table and use
  ;; ordered-list-subsetp here, but we think that generally the aren't enough
  ;; functions mentioned in the hypbox to make that worthwhile.  And, at any
  ;; rate, we get a pretty big advantage just from running the mergesort.
  ;;
  ;; We could also consider using ordered-list-subsetp and requiring that the
  ;; atbl be sorted ahead of time.  That might be quite valuable, but we haven't
  ;; looked into fixing up the proof checkers to handle it.
  (let* ((arities (rw.hypbox-arities x nil))
         (sorted  (mergesort arities)))
    (logic.arities-okp sorted atbl)))

(defthm rw.fast-hypbox-atblp-removal
  (implies (force (rw.hypboxp x))
           (equal (rw.fast-hypbox-atblp x atbl)
                  (rw.hypbox-atblp x atbl)))
  :hints(("Goal" :in-theory (enable rw.fast-hypbox-atblp))))



(ACL2::defttag rw.eqtrace-bldr-okp-timing)
(ACL2::progn!
 (ACL2::set-raw-mode t)
; (COMMON-LISP::DEFUN RW.EQTRACE-BLDR-OKP (X ATBL)
                     (LET ((METHOD (LOGIC.METHOD X))
                           (CONCLUSION (LOGIC.CONCLUSION X))
                           (SUBPROOFS (LOGIC.SUBPROOFS X))
                           (EXTRAS (LOGIC.EXTRAS X)))
                          (AND (EQUAL METHOD 'RW.EQTRACE-BLDR)
                               (TUPLEP 2 EXTRAS)
                               (LET ((TRACE (FIRST EXTRAS))
                                     (BOX (SECOND EXTRAS)))
                                    (AND (RW.EQTRACEP TRACE)
                                         (RW.HYPBOXP BOX)
                                         (RW.FAST-HYPBOX-ATBLP BOX ATBL)
                                         (RW.EQTRACE-OKP TRACE BOX)
                                         (EQUAL CONCLUSION (RW.EQTRACE-FORMULA TRACE BOX))
                                         (NOT SUBPROOFS))))))

; (COMMON-LISP::DEFUN RW.EQTRACE-CONTRADICTION-BLDR-OKP (X ATBL)
               (LET ((METHOD (LOGIC.METHOD X))
                     (CONCLUSION (LOGIC.CONCLUSION X))
                     (SUBPROOFS (LOGIC.SUBPROOFS X))
                     (EXTRAS (LOGIC.EXTRAS X)))
                    (AND (EQUAL METHOD 'RW.EQTRACE-CONTRADICTION-BLDR)
                         (TUPLEP 2 EXTRAS)
                         (LET ((TRACE (FIRST EXTRAS))
                               (BOX (SECOND EXTRAS)))
                              (AND (RW.EQTRACEP TRACE)
                                   (RW.EQTRACE-CONTRADICTIONP TRACE)
                                   (RW.EQTRACE-ATBLP TRACE ATBL)
                                   (RW.HYPBOXP BOX)
                                   (RW.FAST-HYPBOX-ATBLP BOX ATBL)
                                   (RW.EQTRACE-OKP TRACE BOX)
                                   (EQUAL CONCLUSION (RW.HYPBOX-FORMULA BOX))
                                   (NOT SUBPROOFS)))))))


||#

(%autoadmit clause.aux-split-negated-if)


;; speed hint
(local (%disable default
                 AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS
                 AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS
                 AGGRESSIVE-EQUAL-OF-LOGIC.PORS
                 FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE
                 LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP
                 LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP
                 FORCING-LOGIC.DISJOIN-FORMULAS-OF-TWO-ELEMENT-LIST
                 LOGIC.DISJOIN-FORMULAS-WHEN-NOT-CONSP

                 CONSP-WHEN-LOGIC.LAMBDAP-CHEAP
                 LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP
                 LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE

                 logic.termp-when-logic.formulap
                 same-length-prefixes-equal-cheap
                 expensive-arithmetic-rules
                 expensive-arithmetic-rules-two
                 unusual-subsetp-rules
                 car-when-not-consp
                 cdr-when-not-consp
                 type-set-like-rules
                 unusual-memberp-rules
                 ))

(%autoprove forcing-logic.appealp-of-clause.aux-split-negated-if
            (%enable default
                     logic.term-formula
                     clause.aux-split-goal
                     clause.aux-split-negated-if))

(%autoprove forcing-logic.conclusion-of-clause.aux-split-negated-if
            (%enable default
                     logic.term-formula
                     clause.aux-split-goal
                     clause.aux-split-negated-if))

(%autoprove forcing-logic.proofp-of-clause.aux-split-negated-if
            (%enable default
                     logic.term-formula
                     clause.aux-split-goal
                     clause.aux-split-negated-if))