File: abs-find-file-src.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 (262 lines) | stat: -rw-r--r-- 9,373 bytes parent folder | download | duplicates (3)
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
;  abs-find-file-src.lisp                               Mihir Mehta

; abs-find-file-src finds the variable, if any, that has a non-enoent value for
; finding the file.

(in-package "ACL2")

(include-book "abs-find-file")
(local (include-book "std/lists/prefixp" :dir :system))

(local
 (in-theory
  (e/d
   (abs-file-p-when-m1-regular-file-p len-when-consp)
   ((:definition member-equal)
    (:definition intersection-equal)
    (:definition integer-listp)
    (:rewrite true-listp-when-string-list)
    (:linear position-equal-ac-when-member)
    (:linear position-when-member)
    (:rewrite nth-when->=-n-len-l)
    (:linear len-of-remove-assoc-1)
    (:definition position-equal-ac)
    (:definition remove1-assoc-equal)
    (:rewrite m1-directory-file-p-correctness-1)
    (:rewrite assoc-of-car-when-member)
    (:rewrite integerp-of-car-when-integer-listp)
    (:linear len-when-hifat-bounded-file-alist-p . 1)
    (:rewrite m1-file-p-of-cdar-when-m1-file-alist-p)
    (:rewrite natp-of-car-when-nat-listp)
    (:rewrite
     collapse-1st-index-of-frame-val->src-of-cdr-of-assoc-linear-lemma-2)
    (:rewrite when-zp-src-of-1st-collapse-1)
    (:rewrite ctx-app-ok-of-abs-fs-fix-1)
    (:rewrite abs-fs-fix-of-put-assoc-equal-lemma-2)
    (:rewrite hifat-file-alist-fix-guard-lemma-1)
    (:rewrite abs-file-alist-p-of-abs-file->contents)
    (:rewrite member-of-abs-fs-fix-when-natp)
    (:rewrite abs-find-file-helper-of-collapse-lemma-2)
    (:rewrite m1-file-alist-p-of-intersection-equal-2)
    (:rewrite
     abs-separate-of-frame->frame-of-collapse-this-lemma-7)
    (:linear 1st-complete-correctness-2)
    different-from-own-src-1
    (:rewrite m1-file-alist-p-when-subsetp-equal)
    (:rewrite stringp-when-nonempty-stringp)
    m1-file-alist-p-of-nthcdr
    take-of-len-free take-of-too-many
    len-of-remove-assoc-2 nth-of-take
    no-duplicatesp-of-abs-addrs-of-remove-assoc-lemma-3
    hifat-no-dups-p-of-m1-file-contents-of-cdar
    (:rewrite abs-complete-when-stringp)
    (:rewrite hifat-place-file-correctness-3)
    (:rewrite
     fat32-filename-list-p-of-cdr-when-fat32-filename-list-p)
    (:rewrite
     collapse-1st-index-of-frame-val->src-of-cdr-of-assoc-linear-lemma-9)))))

;; This deliberately follows an almost-identical induction scheme to
;; abs-find-file. It was going to be a part of that function, but that just led
;; to too many failures.
(defund
  abs-find-file-src (frame path)
  (declare
   (xargs :guard (and (frame-p frame)
                      (fat32-filename-list-p path))))
  (b*
      (((when (atom frame)) 0)
       (path (mbe :exec path
                      :logic (fat32-filename-list-fix path)))
       ((unless (prefixp (frame-val->path (cdar frame))
                         path))
        (abs-find-file-src (cdr frame) path))
       ((mv & error-code)
        (abs-find-file-helper
         (frame-val->dir (cdar frame))
         (nthcdr (len (frame-val->path (cdar frame)))
                 path)))
       ((when (not (equal error-code *enoent*)))
        (mbe :exec (caar frame) :logic (nfix (caar frame)))))
    (abs-find-file-src (cdr frame) path)))

(defthmd
  abs-find-file-src-correctness-2
  (implies
   (and (frame-p frame)
        (no-duplicatesp-equal (strip-cars frame))
        (not (equal (mv-nth 1 (abs-find-file frame path))
                    *enoent*)))
   (and
    (consp (assoc-equal (abs-find-file-src frame path)
                        frame))
    (prefixp (frame-val->path (cdr (assoc-equal (abs-find-file-src frame path)
                                                frame)))
             (fat32-filename-list-fix path))
    (equal
     (abs-find-file-helper
      (frame-val->dir (cdr (assoc-equal (abs-find-file-src frame path)
                                        frame)))
      (nthcdr
       (len (frame-val->path (cdr (assoc-equal (abs-find-file-src frame path)
                                               frame))))
       path))
     (abs-find-file frame path))))
  :hints (("goal" :in-theory (enable abs-find-file abs-find-file-src)))
  :rule-classes
  ((:rewrite
    :corollary
    (implies
     (and (frame-p frame)
          (no-duplicatesp-equal (strip-cars frame))
          (not (equal (mv-nth 1 (abs-find-file frame path))
                      *enoent*)))
     (and
      (prefixp
       (frame-val->path (cdr (assoc-equal (abs-find-file-src frame path)
                                          frame)))
       (fat32-filename-list-fix path))
      (fat32-filename-list-prefixp
       (frame-val->path (cdr (assoc-equal (abs-find-file-src frame path)
                                          frame)))
       path)
      (equal
       (abs-find-file-helper
        (frame-val->dir (cdr (assoc-equal (abs-find-file-src frame path)
                                          frame)))
        (nthcdr
         (len
          (frame-val->path (cdr (assoc-equal (abs-find-file-src frame path)
                                             frame))))
         path))
       (abs-find-file frame path)))))
   (:rewrite
    :corollary
    (implies
     (and (frame-p frame)
          (no-duplicatesp-equal (strip-cars frame))
          (not (equal (mv-nth 1 (abs-find-file frame path))
                      *enoent*))
          (fat32-filename-list-p path))
     (prefixp
      (frame-val->path (cdr (assoc-equal (abs-find-file-src frame path)
                                         frame)))
      path)))
   (:linear
    :corollary
    (implies
     (and (frame-p frame)
          (no-duplicatesp-equal (strip-cars frame))
          (not (equal (mv-nth 1 (abs-find-file frame path))
                      *enoent*)))
     (< (len (frame-val->path (cdr (assoc-equal (abs-find-file-src frame path)
                                                frame))))
        (len path)))
    :hints (("goal" :in-theory (enable abs-find-file-helper)
             :do-not-induct t)))))

(encapsulate ()

  (local
   (defthm
     lemma
     (implies (not (zp (abs-find-file-src frame path)))
              (consp (assoc-equal (abs-find-file-src frame path)
                                  frame)))
     :hints (("goal" :in-theory (enable abs-find-file abs-find-file-src)))))

  (defthm
    abs-find-file-src-correctness-1
    (implies (consp (assoc-equal 0 frame))
             (consp (assoc-equal (abs-find-file-src frame path)
                                 frame)))
    :hints (("goal" :in-theory (enable abs-find-file abs-find-file-src)))
    :rule-classes
    ((:rewrite
      :corollary
      (implies (or (not (zp (abs-find-file-src frame path)))
                   (consp (assoc-equal 0 frame))
                   (and (frame-p frame)
                        (no-duplicatesp-equal (strip-cars frame))
                        (not (equal (mv-nth 1 (abs-find-file frame path))
                                    *enoent*))))
               (consp (assoc-equal (abs-find-file-src frame path)
                                   frame)))
      :hints
      (("goal"
        :use
        abs-find-file-src-correctness-2))))))

(defthmd
  abs-find-file-src-of-fat32-filename-list-fix
  (equal
   (abs-find-file-src frame (fat32-filename-list-fix path))
   (abs-find-file-src frame path))
  :hints (("Goal" :in-theory (enable abs-find-file-src))))

(defcong
  fat32-filename-list-equiv
  equal (abs-find-file-src frame path)
  2
  :hints
  (("goal"
    :use
    ((:instance abs-find-file-src-of-fat32-filename-list-fix
                (path path-equiv))
     abs-find-file-src-of-fat32-filename-list-fix))))

(defthm
  abs-find-file-src-of-frame-with-root
  (equal (abs-find-file-src (frame-with-root root frame)
                            path)
         (if (equal (mv-nth 1 (abs-find-file-helper root path))
                    2)
             (abs-find-file-src frame path)
             0))
  :hints (("goal" :do-not-induct t
           :in-theory (enable abs-find-file-src frame-with-root))))

(defthm
  abs-find-file-src-of-remove-assoc-1
  (implies
   (and
    (not (null x))
    (no-duplicatesp-equal (strip-cars frame))
    (or
     (not (prefixp (frame-val->path (cdr (assoc-equal x frame)))
                   (fat32-filename-list-fix path)))
     (equal
      (mv-nth 1
              (abs-find-file-helper
               (frame-val->dir (cdr (assoc-equal x frame)))
               (nthcdr (len (frame-val->path (cdr (assoc-equal x frame))))
                       path)))
      *enoent*)))
   (equal (abs-find-file-src (remove-assoc-equal x frame)
                             path)
          (abs-find-file-src frame path)))
  :hints (("goal" :in-theory (enable abs-find-file-src remove-assoc-equal
                                     no-duplicatesp-equal strip-cars)))
  :rule-classes
  ((:rewrite
    :corollary
    (implies
     (and
      (not (null x))
      (no-duplicatesp-equal (strip-cars frame))
      (or
       (not (fat32-filename-list-prefixp
             (frame-val->path (cdr (assoc-equal x frame)))
             path))
       (equal
        (mv-nth
         1
         (abs-find-file-helper
          (frame-val->dir (cdr (assoc-equal x frame)))
          (nthcdr (len (frame-val->path (cdr (assoc-equal x frame))))
                  path)))
        *enoent*)))
     (equal (abs-find-file-src (remove-assoc-equal x frame)
                               path)
            (abs-find-file-src frame path)))
    :hints (("goal" :do-not-induct t)))))