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
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
|
(in-package "ACL2")
(include-book "bcv-model")
(include-book "bcv-simple-model")
;;(i-am-here) ;; Thu Nov 3 19:39:19 2005
(local (in-theory (disable bcv-simple-inst collect-witness-merged-code-safe
inst? stack-map? make-inst
merged-code-safe)))
(defthm extract-code-wff-code1-same
(implies (wff-code1 code pc)
(equal (extract-code (append code '(END_OF_CODE)))
code)))
(defthm |s-same-g-lemma|
(IMPLIES (AND (EQUAL (G 'IS-INST INST) T)
(NOT (G 'IS-STACK-MAP INST)))
(EQUAL (S 'IS-INST
T (S 'IS-STACK-MAP NIL INST))
INST))
:hints (("Goal" :in-theory (disable s-same-g)
:use ((:instance S-SAME-G
(a 'is-inst)
(R (s 'is-stack-map nil inst)))
(:instance S-SAME-G
(a 'is-stack-map)
(R inst))))))
(defthm inst-implies-make-inst-same
(implies (inst? inst)
(equal (make-inst inst) inst))
:hints (("Goal" :in-theory (enable inst? make-inst))))
;; (i-am-here) ;; Fri Nov 11 10:49:03 2005
(defthm extract-code-mergeStackMapAndCode
(implies (and (equal (car (last (mergeStackMapAndCode maps code method-name method-table)))
'END_OF_CODE)
(wff-code1 code pc))
(equal (extract-code (mergeStackMapAndCode maps code method-name method-table))
code))
:hints (("Goal" :in-theory (enable inst?))))
(defthm not-inst-end-of-code
(not (inst? 'END_OF_CODE)))
(defthm get-is-inst-make-inst
(g 'is-inst (make-inst inst))
:hints (("Goal" :in-theory (enable make-inst))))
(defthm make-inst-inst
(implies (inst? inst)
(inst? (make-inst inst)))
:hints (("Goal" :in-theory (enable make-inst inst?))))
(defthm g-end-of-code
(not (g 'is-inst 'END_OF_CODE)))
(defthm make-inst-never-end-of-code
(not (equal (make-inst inst) 'END_OF_CODE))
:hints (("Goal" :in-theory (disable make-inst
get-is-inst-make-inst
g-end-of-code)
:use ((:instance get-is-inst-make-inst)
(:instance g-end-of-code)))))
(defthm extract-code-mergeStackMapAndCode-specific
(implies (and (equal (car (last (mergeStackMapAndCode maps code method-name method-table)))
'END_OF_CODE)
(wff-code code))
(equal (extract-code (mergeStackMapAndCode maps code method-name method-table))
code))
:hints (("Goal"
:in-theory (e/d (wff-code) (extract-code mergeStackMapAndCode))
:use ((:instance extract-code-mergeStackMapAndCode
(pc 0))))))
;----------------------------------------------------------------------
;; (i-am-here) ;; Thu Nov 3 21:03:06 2005
;; ;; Fri Nov 4 10:51:41 2005
;; (skip-proofs
;; (defthm merge-code-safe-implies-bcv-check-step-pre
;; (implies (and (merged-code-safe merged-code sig-frame)
;; (member inst merged-code)
;; (inst? inst)
;; (equal (nth pc (extract-code merged-code)) inst))
;; (bcv-check-step-pre inst
;; (cdr (assoc-equal pc
;; (collect-witness-merged-code-safe
;; merged-code sig-frame)))))
;; :hints (("Goal" :in-theory (e/d (merged-code-safe
;; collect-witness-merged-code-safe)
;; (bcv-check-step-pre
;; bcv-execute-step))))))
;; (skip-proofs
;; (defthm bcv-check-step-pre-implies-bcv-simple-check-step
;; (implies (bcv-check-step-pre inst
;; (cdr (assoc-equal pc
;; (collect-witness-merged-code-safe
;; merged-code sig-frame))))
;; (bcv-simple-check-step-pre inst
;; (cdr (assoc-equal pc
;; (collect-witness-merged-code-safe
;; merged-code sig-frame)))))))
;;
;;(i-am-here) ;; Sat Nov 5 19:43:23 2005
;;(i-am-here) ;; Thu Nov 10 20:42:38 2005
(encapsulate ()
(local (include-book "bcv-find-correct-witness"))
(defthm merge-code-safe-implies-bcv-simple-check-pre-on-witness
(implies (and (merged-code-safe merged-code sig-frame)
(bcv-verified-method-table (g 'method-table sig-frame))
(equal (extract-maps merged-code)
(update-maps-with-method-table
(g 'stackmaps
(cdr (assoc-equal (g 'method-name sig-frame)
(g 'method-table sig-frame))))
(g 'method-name sig-frame)
(g 'method-table sig-frame)))
(stack-map? sig-frame)
(wff-maps (extract-maps merged-code))
(equal (g 'pc sig-frame) 0)
(equal (g 'pc inst) pc)
(inst? inst)
(wff-code (extract-code merged-code))
(member inst (extract-code merged-code)))
(bcv-simple-inst pc
(g 'inst inst)
(collect-witness-merged-code-safe
merged-code sig-frame)))))
;;; modified form!!!
;; ;; (encapsulate ()
;; ;; (local (include-book "bcv-find-correct-witness"))
;; ;; (defthm merge-code-safe-implies-bcv-simple-check-pre-on-witness
;; ;; (implies (and (merged-code-safe merged-code sig-frame)
;; ;; (bcv-verified-method-table (g 'method-table sig-frame))
;; ;; (member inst merged-code)
;; ;; (inst? inst)
;; ;; (equal (nth pc (extract-code merged-code)) inst))
;; ;; (bcv-simple-inst pc
;; ;; inst
;; ;; (collect-witness-merged-code-safe
;; ;; merged-code sig-frame)))))
;;;;;
;;;;; originally.
;;;;;
;;; this is not true !!!
;;; because bcv-simple-inst will assert that
;;; the bcv-simple-check-INVOKE method-table, opstack, method-name are
;;; compatible with recorded signature of the method being invoked!!
;;; we know it will be true!!
;;;
;;; Because we verified each method, and we will know that each method
;;; 's first frame will have this property!!
;;;
(local (in-theory (disable bcv-verified-method-table)))
;----------------------------------------------------------------------
;; (i-am-here) ;; Mon Nov 7 22:35:31 2005
(defthm member-code-merge-merged-code-lemma
(implies (and (equal (car (last (mergeStackMapAndCode maps code method-name method-table)))
'END_OF_CODE)
(inst? inst)
(member inst code))
(member inst (mergeStackMapAndCode maps code method-name method-table)))
:hints (("Goal" :do-not '(generalize))))
(defthm merged-code-safe-implies-end-with-end-of-code
(implies (merged-code-safe mergedcode init-frame)
(equal (car (last mergedcode))
'END_OF_CODE))
:hints (("Goal" :in-theory (enable merged-code-safe))))
(defun is-suffix-code (code1 code)
(if (equal code code1)
t
(if (endp code) nil
(is-suffix-code code1 (cdr code)))))
(defthm is-suffix-code-cdr-suffix
(implies (and (is-suffix-code code1 code)
(consp code1))
(is-suffix-code (cdr code1) code)))
(defthm not-inst-end-of-code
(not (inst? 'END_OF_CODE)))
(defthm mem-suffix-mem-all
(implies (and (member inst code1)
(is-suffix-code code1 code))
(member inst code)))
(defthm mem-suffix-mem-all-specific
(implies (and (is-suffix-code code1 code)
(consp code1))
(member (car code1) code)))
(local (in-theory (disable wff-code)))
(defun suffix-code-offset (code1 code)
(if (equal code code1) 0
(if (endp code) 0
(+ 1 (suffix-code-offset code1 (cdr code))))))
(defthm member-wff-code-implies-inst-lemma
(implies (and (member inst code)
(wff-code1 code pc))
(inst? inst))
:hints (("Goal" :in-theory (enable wff-code1 inst?))))
(defthm member-wff-code-implies-inst
(implies (and (member inst code)
(wff-code code))
(inst? inst))
:hints (("Goal" :in-theory (enable wff-code))))
(defthm member-wff-code-implies-inst-specific
(implies (and (is-suffix-code code1 code)
(consp code1)
(wff-code code))
(inst? (car code1)))
:hints (("Goal" :use ((:instance member-wff-code-implies-inst
(inst (car code1)))))))
(defthm nth-suffix-offset-is-car
(implies (and (is-suffix-code code1 code)
(consp code1))
(equal (nth (suffix-code-offset code1 code) code)
(car code1))))
(defthm never-suffix-code-lemma
(implies (not (is-suffix-code y x))
(NOT (IS-SUFFIX-CODE (cons any y) x))))
(defthm is-suffix-code-size
(implies (< (acl2-count y)
(acl2-count x))
(not (is-suffix-code x y))))
(defthm never-suffix-code
(not (is-suffix-code (cons y x) x)))
(defthm suffix-code-offset-is
(implies (and (is-suffix-code code1 code)
(consp code1))
(equal (+ 1 (suffix-code-offset code1 code))
(suffix-code-offset (cdr code1) code))))
;; (i-am-here) ;; Sat Nov 5 19:51:44 2005
;;
;; (i-am-here) ;; Sat Nov 5 20:00:20 2005
(defthm stack-map-make-stack-map
(IMPLIES (STACK-MAP? MAPS1)
(STACK-MAP? (MAKESTACKMAP MAPS1 method-name METHOD-TABLE)))
:hints (("Goal" :in-theory (enable stack-map?))))
(defthm stack-map-set-method-table-x
(IMPLIES (STACK-MAP? MAPS1)
(STACK-MAP? (s 'max-stack any3
(s 'method-name any2 (s 'method-table any maps1)))))
:hints (("Goal" :in-theory (enable stack-map?))))
;; (i-am-here) ;; Sun Nov 6 00:54:35 2005
(defthm |s-same-g-lemma-2|
(IMPLIES (AND (EQUAL (G 'IS-INST map) nil)
(equal (G 'IS-STACK-MAP map) t))
(EQUAL (S 'IS-STACK-MAP
T (S 'IS-INST NIL map))
map))
:hints (("Goal" :in-theory (disable s-same-g)
:use ((:instance S-SAME-G
(a 'is-stack-map)
(R (s 'is-inst nil map)))
(:instance S-SAME-G
(a 'is-inst)
(R map))))))
(defthm stack-map-set-equal
(IMPLIES (STACK-MAP? MAPS1)
(EQUAL (MAKESTACKMAP MAPS1 method-name METHOD-TABLE)
(s 'max-stack
(g 'max-stack
(cdr (assoc-equal method-name method-table)))
(s 'method-name method-name (S 'METHOD-TABLE METHOD-TABLE MAPS1)))))
:hints (("Goal" :in-theory (enable stack-map?))))
(encapsulate ()
(local (include-book "bcv-find-correct-witness-sig-vector"))
(defthm extract-maps-merged-code-safe-is-maps
(implies (and (wff-maps maps)
(wff-code1 code any)
(equal (car (last (mergeStackMapAndCode maps code method-name
method-table)))
'END_OF_CODE))
(equal (extract-maps (mergeStackMapAndCode maps code method-name method-table))
(update-maps-with-method-table maps method-name method-table)))))
(defthm extract-maps-merged-code-safe-is-maps-specific
(implies (and (wff-maps maps)
(wff-code code)
(equal (car (last (mergeStackMapAndCode maps code
method-name
method-table)))
'END_OF_CODE))
(equal (extract-maps (mergeStackMapAndCode maps code method-name method-table))
(update-maps-with-method-table maps method-name method-table)))
:hints (("Goal" :in-theory (e/d (wff-code)
(make-inst makeStackmap)))))
(defthm wff-code1-pc-suffix-offset-is
(implies (and (wff-code1 code pc)
(consp code1)
(integerp pc)
(is-suffix-code code1 code))
(equal (+ pc (suffix-code-offset code1 code))
(g 'pc (car code1)))))
(defthm wff-code-pc-suffix-offset-is
(implies (and (wff-code code)
(consp code1)
(is-suffix-code code1 code))
(equal (suffix-code-offset code1 code)
(g 'pc (car code1))))
:hints (("Goal" :in-theory (e/d (wff-code)
(suffix-code-offset
is-suffix-code))
:use ((:instance wff-code1-pc-suffix-offset-is
(pc 0))))))
(defthm wff-code-suffix-implies-pc-ordered
(implies (and (wff-code1 code pc)
(is-suffix-code code1 code)
(consp (cdr code1)))
(equal (+ 1 (g 'pc (car code1)))
(g 'pc (cadr code1))))
:hints (("Goal" :do-not '(generalize))))
(defthm wff-code-suffix-implies-pc-ordered-suffix
(implies (and (wff-code code)
(is-suffix-code code1 code)
(case-split (consp (cdr code1))))
(equal (+ 1 (g 'pc (car code1)))
(g 'pc (cadr code1))))
:hints (("Goal" :in-theory (enable wff-code)
:use ((:instance wff-code1-pc-suffix-offset-is
(pc 0))))))
(defun strip-pc (code)
(if (endp code) code
(cons (g 'inst (car code))
(strip-pc (cdr code)))))
(defthm member-suffix-member-total
(implies (and (is-suffix-code code1 code)
(member x code1))
(member x code)))
;; (i-am-here) ;; Tue Nov 8 13:01:48 2005
;; >L (DEFUN BCV-SIMPLE-METHOD1 (PC CODE SIG-VECTOR)
;; (DECLARE (XARGS :MEASURE (LEN CODE)))
;; (IF (ENDP CODE)
;; T
;; (LET* ((INST (CAR CODE)))
;; (AND (BCV-SIMPLE-INST PC INST SIG-VECTOR)
;; (BCV-SIMPLE-METHOD1 (+ 1 PC)
;; (CDR CODE)
;; SIG-VECTOR)))))
(defun bcv-simple-method1-induct (pc code1 maps code method-table method-name init-frame)
(declare (xargs :measure (len code1)))
(if (endp code1)
(list pc code1 maps code method-table method-name init-frame)
(and (bcv-simple-inst pc (g 'inst (car code1))
(collect-witness-merged-code-safe
(mergeStackMapAndCode maps code method-name method-table)
init-frame))
(bcv-simple-method1-induct (+ 1 pc) (cdr code1)
maps code method-table method-name init-frame))))
;; (i-am-here) ;; Thu Nov 10 20:43:27 2005
(defthm wff-maps-update-maps-with-method-table-wff-maps
(implies (WFF-MAPS maps)
(wff-maps (UPDATE-MAPS-WITH-METHOD-TABLE maps method-name method-table))))
;; (defthm |Subgoal *1/3'4'|
;; (IMPLIES
;; (AND
;; (NOT (BCV-SIMPLE-INST
;; (G 'PC CODE2)
;; (G 'INST CODE2)
;; (COLLECT-WITNESS-MERGED-CODE-SAFE
;; (MERGESTACKMAPANDCODE
;; (G 'STACKMAPS
;; (CDR (ASSOC-EQUAL (G 'METHOD-NAME INIT-FRAME)
;; (G 'METHOD-TABLE INIT-FRAME))))
;; CODE (G 'METHOD-TABLE INIT-FRAME))
;; INIT-FRAME)))
;; (MERGED-CODE-SAFE
;; (MERGESTACKMAPANDCODE (G 'STACKMAPS
;; (CDR (ASSOC-EQUAL (G 'METHOD-NAME INIT-FRAME)
;; (G 'METHOD-TABLE INIT-FRAME))))
;; CODE (G 'METHOD-TABLE INIT-FRAME))
;; INIT-FRAME)
;; (stack-map? init-frame)
;; (EQUAL (G 'PC INIT-FRAME) 0)
;; (BCV-VERIFIED-METHOD-TABLE (G 'METHOD-TABLE INIT-FRAME))
;; (IS-SUFFIX-CODE (CONS CODE2 CODE3) CODE)
;; (WFF-MAPS (G 'STACKMAPS
;; (CDR (ASSOC-EQUAL (G 'METHOD-NAME INIT-FRAME)
;; (G 'METHOD-TABLE INIT-FRAME))))))
;; (NOT (WFF-CODE CODE))))
;; (defthm member-wff-code
;; (implies (and (member x code)
;; (wff-code code))
;; (inst? inst))
;; :hints (("Goal" :in-theory (endp wff-code))))
(defthm is-suffix-code-implies-inst-lemma
(implies (and (is-suffix-code (cons x code2) code)
(wff-code1 code pc))
(inst? x))
:hints (("Goal" :in-theory (enable wff-code))))
(defthm is-suffix-code-implies-inst
(implies (and (is-suffix-code (cons x code2) code)
(wff-code code))
(inst? x))
:hints (("Goal" :in-theory (enable wff-code))))
(defthm merge-code-safe-implies-bcv-simple-method1-lemma
(implies (and (merged-code-safe (mergeStackMapAndCode maps code method-name method-table)
init-frame)
(equal (g 'pc init-frame) 0)
(equal (g 'method-table init-frame) method-table)
(equal (g 'method-name init-frame) method-name)
(equal (G 'STACKMAPS
(CDR (ASSOC-EQUAL (G 'METHOD-NAME INIT-FRAME)
(G 'METHOD-TABLE INIT-FRAME))))
maps)
(bcv-verified-method-table (g 'method-table init-frame))
(is-suffix-code code1 code)
(stack-map? init-frame)
(wff-maps maps)
(wff-code code)
(equal (suffix-code-offset code1 code) pc))
(bcv-simple-method1 pc (strip-pc code1)
(collect-witness-merged-code-safe
(mergeStackMapAndCode maps code method-name method-table)
init-frame)))
:hints (("Goal" :do-not '(generalize)
:in-theory (disable bcv-simple-inst)
:induct (bcv-simple-method1-induct
pc code1 maps code method-table method-name init-frame))))
(defthm init-frame-compatible
(implies (and (merged-code-safe merged-code sig-frame)
(stack-map? sig-frame)
(consp (cdr merged-code))
(equal (g 'pc (car merged-code)) pc))
(sig-frame-compatible
sig-frame
(cdr (assoc-equal pc (collect-witness-merged-code-safe
merged-code sig-frame)))))
:hints (("Goal" :in-theory (e/d (merged-code-safe
collect-witness-merged-code-safe)
(bcv-check-step-pre
bcv-execute-step)))))
(defthm wff-code-implies-first-pc-is-zero
(implies (wff-code code)
(equal (g 'pc (car code)) 0))
:hints (("Goal" :in-theory (enable wff-code))))
(defthm sig-frame-compatible-indepent-of-set-sig-vector
(implies (sig-frame-compatible frame1 frame2)
(sig-frame-compatible (s 'sig-vector any frame1)
frame2)))
(defthm wff-code-merged-code-consp
(implies (and (equal (car (last (mergeStackMapAndCode maps code method-name method-table)))
'END_OF_CODE)
(wff-code code))
(consp (cdr (mergeStackMapAndCode maps code method-name method-table))))
:hints (("Goal" :in-theory (enable wff-code))))
(defthm merged-code-car-pc-same-as-code
(implies (equal (car (last (mergeStackMapAndCode maps code method-name method-table)))
'END_OF_CODE)
(equal (g 'pc (car (mergeStackMapAndCode maps code method-name method-table)))
(g 'pc (car code))))
:hints (("Goal" :in-theory (enable make-inst))))
(defthm merged-code-car-pc-same-as-code-specific
(implies (merged-code-safe (mergeStackMapAndCode maps code method-name method-table)
(SIG-METHOD-INIT-FRAME METHOD METHOD-TABLE))
(equal (g 'pc (car (mergeStackMapAndCode maps code method-name method-table)))
(g 'pc (car code)))))
(defthm sig-frame-init-frame-s-sig-vector
(equal
(SIG-METHOD-INIT-FRAME (S 'SIG-VECTOR any method)
METHOD-TABLE)
(sig-method-init-frame method method-table)))
(defthm sig-frame-init-frame-s-code
(equal
(SIG-METHOD-INIT-FRAME (S 'code any method)
METHOD-TABLE)
(sig-method-init-frame method method-table)))
;; (i-am-here) ;; Fri Nov 4 14:18:25 2005
(defthm g-method-table-from-init-frame
(equal (g 'method-table (SIG-METHOD-INIT-FRAME METHOD METHOD-TABLE))
method-table)
:hints (("Goal" :in-theory (enable sig-method-init-frame))))
(defthm g-pc-from-init-frame
(equal (g 'pc (sig-method-init-frame method method-table)) 0))
(defthm g-method-name-from-init-frame
(equal (g 'method-name (sig-method-init-frame method method-table))
(g 'method-name method)))
;; (i-am-here) ;; Tue Nov 8 14:10:39 2005
(defthm parsecode-strip-pc-lemma
(equal (strip-pc (parsecode1 any code)) code)
:hints (("Goal" :in-theory (enable make-inst))))
(defthm parsecode-strip-pc
(equal (strip-pc (parsecode code)) code))
(in-theory (disable parsecode))
;; (i-am-here) ;; Tue Nov 8 13:49:07 2005
(defthm merge-code-safe-implies-bcv-simple-method1-lemma-specific
(implies (and (merged-code-safe (mergeStackMapAndCode maps parsed-code
method-name method-table)
init-frame)
(equal (g 'pc init-frame) 0)
(equal (g 'method-table init-frame) method-table)
(equal (g 'method-name init-frame) method-name)
(equal (G 'STACKMAPS
(CDR (ASSOC-EQUAL (G 'METHOD-NAME INIT-FRAME)
(G 'METHOD-TABLE INIT-FRAME))))
maps)
(bcv-verified-method-table (g 'method-table init-frame))
(stack-map? init-frame)
(wff-maps maps)
(wff-code parsed-code)
(equal code (strip-pc parsed-code)))
(bcv-simple-method1 0 code
(collect-witness-merged-code-safe
(mergeStackMapAndCode maps parsed-code
method-name method-table)
init-frame)))
:hints (("Goal" :do-not '(generalize)
:in-theory (disable bcv-simple-inst bcv-simple-method1))))
(defthm sig-method-init-frame-is-stack-map
(stack-map? (sig-method-init-frame method method-table))
:hints (("Goal" :in-theory (enable stack-map? sig-method-init-frame))))
;; (defthm bcv-suceed-implies-bcv-simple-succeed
;; (implies (and (bcv-method method method-table)
;; (equal method (binding (g 'method-name method)
;; method-table))
;; (bcv-verified-method-table method-table))
;; (bcv-simple-method
;; (s 'sig-vector
;; (collect-witness-bcv-method
;; method method-table)
;; method)
;; method-table))
;; :hints (("Goal" :in-theory (disable sig-method-init-frame
;; sig-frame-compatible))))
;; note: this above is not true
;;
;; Because bcv-simple-check-invoke will assert about other method's first
;; frame! We will need to set sig-vector to the witness in every method that
;; may potentially be invoked.
;;
;; We shall define a function to say two method-table are related!
;;
;; The best would be write a function that given method-table produce
;; a new method-table. So we don't have to discuss about existence pair that
;; satisfies the relation
;; it is always easy to first define the relation then write an algorithm that
;; generate a pair that satisfies it.
;;
;; Can I generate such a thing.
;; (encapsulate ()
;; (local (include-book "bcv-check-pre-implies-bcv-simple-check-pre-if-all-method-verified"))
;; (defthm bcv-check-step-pre-implies-bcv-simple-check-step
;; (implies (and (bcv-check-step-pre inst sig-frame)
;; (bcv-verified-method-table (g 'method-table sig-frame)))
;; (bcv-simple-check-step-pre (g 'inst inst) sig-frame))))
;;;
;;; this is not provable for INVOKE!!
;;;
(defthm bcv-succeed-implies-bcv-simple-succeed
(implies (and (bcv-method method method-table)
(equal method (binding (g 'method-name method)
method-table))
(bcv-verified-method-table method-table))
(bcv-simple-method
(s 'sig-vector
(collect-witness-bcv-method
method method-table)
method)
method-table))
:hints (("Goal" :in-theory (disable sig-method-init-frame
sig-frame-compatible))))
;; (defthm bcv-suceed-implies-bcv-simple-succeed
;; (implies (bcv-method method method-table)
;; (bcv-simple-method
;; (s 'sig-vector
;; (collect-witness-bcv-method
;; method method-table)
;; method)
;; method-table))
;; :hints (("Goal" :in-theory (disable sig-method-init-frame
;; sig-frame-compatible))))
|
