source: extracted/smallstep.ml @ 3015

Last change on this file since 3015 was 3001, checked in by sacerdot, 7 years ago

New extraction.

File size: 16.8 KB
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[2601]1open Preamble
2
3open CostLabel
4
5open Proper
6
7open PositiveMap
8
9open Deqsets
10
11open Extralib
12
13open Lists
14
15open Identifiers
16
17open Integers
18
19open AST
20
21open Division
22
[2717]23open Exp
24
[2601]25open Arithmetic
26
27open Extranat
28
29open Vector
30
31open FoldStuff
32
33open BitVector
34
35open Z
36
37open BitVectorZ
38
39open Pointers
40
[2649]41open ErrorMessages
42
[2601]43open Option
44
45open Setoids
46
47open Monad
48
49open Positive
50
51open PreIdentifiers
52
53open Errors
54
55open Div_and_mod
56
57open Jmeq
58
59open Russell
60
61open Util
62
63open Bool
64
65open Relations
66
67open Nat
68
69open List
70
71open Hints_declaration
72
73open Core_notation
74
75open Pts
76
77open Logic
78
79open Types
80
81open Coqlib
82
83open Values
84
85open Events
86
87type transrel =
88| Mk_transrel
89
90(** val transrel_rect_Type4 : (__ -> __ -> __ -> 'a1) -> transrel -> 'a1 **)
91let rec transrel_rect_Type4 h_mk_transrel = function
92| Mk_transrel -> h_mk_transrel __ __ __
93
94(** val transrel_rect_Type5 : (__ -> __ -> __ -> 'a1) -> transrel -> 'a1 **)
95let rec transrel_rect_Type5 h_mk_transrel = function
96| Mk_transrel -> h_mk_transrel __ __ __
97
98(** val transrel_rect_Type3 : (__ -> __ -> __ -> 'a1) -> transrel -> 'a1 **)
99let rec transrel_rect_Type3 h_mk_transrel = function
100| Mk_transrel -> h_mk_transrel __ __ __
101
102(** val transrel_rect_Type2 : (__ -> __ -> __ -> 'a1) -> transrel -> 'a1 **)
103let rec transrel_rect_Type2 h_mk_transrel = function
104| Mk_transrel -> h_mk_transrel __ __ __
105
106(** val transrel_rect_Type1 : (__ -> __ -> __ -> 'a1) -> transrel -> 'a1 **)
107let rec transrel_rect_Type1 h_mk_transrel = function
108| Mk_transrel -> h_mk_transrel __ __ __
109
110(** val transrel_rect_Type0 : (__ -> __ -> __ -> 'a1) -> transrel -> 'a1 **)
111let rec transrel_rect_Type0 h_mk_transrel = function
112| Mk_transrel -> h_mk_transrel __ __ __
113
114type genv = __
115
116type state = __
117
118(** val transrel_inv_rect_Type4 :
119    transrel -> (__ -> __ -> __ -> __ -> 'a1) -> 'a1 **)
120let transrel_inv_rect_Type4 hterm h1 =
121  let hcut = transrel_rect_Type4 h1 hterm in hcut __
122
123(** val transrel_inv_rect_Type3 :
124    transrel -> (__ -> __ -> __ -> __ -> 'a1) -> 'a1 **)
125let transrel_inv_rect_Type3 hterm h1 =
126  let hcut = transrel_rect_Type3 h1 hterm in hcut __
127
128(** val transrel_inv_rect_Type2 :
129    transrel -> (__ -> __ -> __ -> __ -> 'a1) -> 'a1 **)
130let transrel_inv_rect_Type2 hterm h1 =
131  let hcut = transrel_rect_Type2 h1 hterm in hcut __
132
133(** val transrel_inv_rect_Type1 :
134    transrel -> (__ -> __ -> __ -> __ -> 'a1) -> 'a1 **)
135let transrel_inv_rect_Type1 hterm h1 =
136  let hcut = transrel_rect_Type1 h1 hterm in hcut __
137
138(** val transrel_inv_rect_Type0 :
139    transrel -> (__ -> __ -> __ -> __ -> 'a1) -> 'a1 **)
140let transrel_inv_rect_Type0 hterm h1 =
141  let hcut = transrel_rect_Type0 h1 hterm in hcut __
142
143(** val transrel_jmdiscr : transrel -> transrel -> __ **)
144let transrel_jmdiscr x y =
145  Logic.eq_rect_Type2 x
146    (let Mk_transrel = x in Obj.magic (fun _ dH -> dH __ __ __)) y
147
148type program_behavior =
149| Terminates of Events.trace * Integers.int
150| Diverges of Events.trace
151| Reacts of Events.traceinf
152| Goes_wrong of Events.trace
153
154(** val program_behavior_rect_Type4 :
155    (Events.trace -> Integers.int -> 'a1) -> (Events.trace -> 'a1) ->
156    (Events.traceinf -> 'a1) -> (Events.trace -> 'a1) -> program_behavior ->
157    'a1 **)
158let rec program_behavior_rect_Type4 h_Terminates h_Diverges h_Reacts h_Goes_wrong = function
[3001]159| Terminates (x_10164, x_10163) -> h_Terminates x_10164 x_10163
160| Diverges x_10165 -> h_Diverges x_10165
161| Reacts x_10166 -> h_Reacts x_10166
162| Goes_wrong x_10167 -> h_Goes_wrong x_10167
[2601]163
164(** val program_behavior_rect_Type5 :
165    (Events.trace -> Integers.int -> 'a1) -> (Events.trace -> 'a1) ->
166    (Events.traceinf -> 'a1) -> (Events.trace -> 'a1) -> program_behavior ->
167    'a1 **)
168let rec program_behavior_rect_Type5 h_Terminates h_Diverges h_Reacts h_Goes_wrong = function
[3001]169| Terminates (x_10174, x_10173) -> h_Terminates x_10174 x_10173
170| Diverges x_10175 -> h_Diverges x_10175
171| Reacts x_10176 -> h_Reacts x_10176
172| Goes_wrong x_10177 -> h_Goes_wrong x_10177
[2601]173
174(** val program_behavior_rect_Type3 :
175    (Events.trace -> Integers.int -> 'a1) -> (Events.trace -> 'a1) ->
176    (Events.traceinf -> 'a1) -> (Events.trace -> 'a1) -> program_behavior ->
177    'a1 **)
178let rec program_behavior_rect_Type3 h_Terminates h_Diverges h_Reacts h_Goes_wrong = function
[3001]179| Terminates (x_10184, x_10183) -> h_Terminates x_10184 x_10183
180| Diverges x_10185 -> h_Diverges x_10185
181| Reacts x_10186 -> h_Reacts x_10186
182| Goes_wrong x_10187 -> h_Goes_wrong x_10187
[2601]183
184(** val program_behavior_rect_Type2 :
185    (Events.trace -> Integers.int -> 'a1) -> (Events.trace -> 'a1) ->
186    (Events.traceinf -> 'a1) -> (Events.trace -> 'a1) -> program_behavior ->
187    'a1 **)
188let rec program_behavior_rect_Type2 h_Terminates h_Diverges h_Reacts h_Goes_wrong = function
[3001]189| Terminates (x_10194, x_10193) -> h_Terminates x_10194 x_10193
190| Diverges x_10195 -> h_Diverges x_10195
191| Reacts x_10196 -> h_Reacts x_10196
192| Goes_wrong x_10197 -> h_Goes_wrong x_10197
[2601]193
194(** val program_behavior_rect_Type1 :
195    (Events.trace -> Integers.int -> 'a1) -> (Events.trace -> 'a1) ->
196    (Events.traceinf -> 'a1) -> (Events.trace -> 'a1) -> program_behavior ->
197    'a1 **)
198let rec program_behavior_rect_Type1 h_Terminates h_Diverges h_Reacts h_Goes_wrong = function
[3001]199| Terminates (x_10204, x_10203) -> h_Terminates x_10204 x_10203
200| Diverges x_10205 -> h_Diverges x_10205
201| Reacts x_10206 -> h_Reacts x_10206
202| Goes_wrong x_10207 -> h_Goes_wrong x_10207
[2601]203
204(** val program_behavior_rect_Type0 :
205    (Events.trace -> Integers.int -> 'a1) -> (Events.trace -> 'a1) ->
206    (Events.traceinf -> 'a1) -> (Events.trace -> 'a1) -> program_behavior ->
207    'a1 **)
208let rec program_behavior_rect_Type0 h_Terminates h_Diverges h_Reacts h_Goes_wrong = function
[3001]209| Terminates (x_10214, x_10213) -> h_Terminates x_10214 x_10213
210| Diverges x_10215 -> h_Diverges x_10215
211| Reacts x_10216 -> h_Reacts x_10216
212| Goes_wrong x_10217 -> h_Goes_wrong x_10217
[2601]213
214(** val program_behavior_inv_rect_Type4 :
215    program_behavior -> (Events.trace -> Integers.int -> __ -> 'a1) ->
216    (Events.trace -> __ -> 'a1) -> (Events.traceinf -> __ -> 'a1) ->
217    (Events.trace -> __ -> 'a1) -> 'a1 **)
218let program_behavior_inv_rect_Type4 hterm h1 h2 h3 h4 =
219  let hcut = program_behavior_rect_Type4 h1 h2 h3 h4 hterm in hcut __
220
221(** val program_behavior_inv_rect_Type3 :
222    program_behavior -> (Events.trace -> Integers.int -> __ -> 'a1) ->
223    (Events.trace -> __ -> 'a1) -> (Events.traceinf -> __ -> 'a1) ->
224    (Events.trace -> __ -> 'a1) -> 'a1 **)
225let program_behavior_inv_rect_Type3 hterm h1 h2 h3 h4 =
226  let hcut = program_behavior_rect_Type3 h1 h2 h3 h4 hterm in hcut __
227
228(** val program_behavior_inv_rect_Type2 :
229    program_behavior -> (Events.trace -> Integers.int -> __ -> 'a1) ->
230    (Events.trace -> __ -> 'a1) -> (Events.traceinf -> __ -> 'a1) ->
231    (Events.trace -> __ -> 'a1) -> 'a1 **)
232let program_behavior_inv_rect_Type2 hterm h1 h2 h3 h4 =
233  let hcut = program_behavior_rect_Type2 h1 h2 h3 h4 hterm in hcut __
234
235(** val program_behavior_inv_rect_Type1 :
236    program_behavior -> (Events.trace -> Integers.int -> __ -> 'a1) ->
237    (Events.trace -> __ -> 'a1) -> (Events.traceinf -> __ -> 'a1) ->
238    (Events.trace -> __ -> 'a1) -> 'a1 **)
239let program_behavior_inv_rect_Type1 hterm h1 h2 h3 h4 =
240  let hcut = program_behavior_rect_Type1 h1 h2 h3 h4 hterm in hcut __
241
242(** val program_behavior_inv_rect_Type0 :
243    program_behavior -> (Events.trace -> Integers.int -> __ -> 'a1) ->
244    (Events.trace -> __ -> 'a1) -> (Events.traceinf -> __ -> 'a1) ->
245    (Events.trace -> __ -> 'a1) -> 'a1 **)
246let program_behavior_inv_rect_Type0 hterm h1 h2 h3 h4 =
247  let hcut = program_behavior_rect_Type0 h1 h2 h3 h4 hterm in hcut __
248
249(** val program_behavior_discr :
250    program_behavior -> program_behavior -> __ **)
251let program_behavior_discr x y =
252  Logic.eq_rect_Type2 x
253    (match x with
254     | Terminates (a0, a1) -> Obj.magic (fun _ dH -> dH __ __)
255     | Diverges a0 -> Obj.magic (fun _ dH -> dH __)
256     | Reacts a0 -> Obj.magic (fun _ dH -> dH __)
257     | Goes_wrong a0 -> Obj.magic (fun _ dH -> dH __)) y
258
259(** val program_behavior_jmdiscr :
260    program_behavior -> program_behavior -> __ **)
261let program_behavior_jmdiscr x y =
262  Logic.eq_rect_Type2 x
263    (match x with
264     | Terminates (a0, a1) -> Obj.magic (fun _ dH -> dH __ __)
265     | Diverges a0 -> Obj.magic (fun _ dH -> dH __)
266     | Reacts a0 -> Obj.magic (fun _ dH -> dH __)
267     | Goes_wrong a0 -> Obj.magic (fun _ dH -> dH __)) y
268
269type semantics = { trans : transrel; ge : __ }
270
271(** val semantics_rect_Type4 :
272    (transrel -> __ -> __ -> __ -> 'a1) -> semantics -> 'a1 **)
[3001]273let rec semantics_rect_Type4 h_mk_semantics x_10544 =
274  let { trans = trans0; ge = ge0 } = x_10544 in
[2601]275  h_mk_semantics trans0 __ __ ge0
276
277(** val semantics_rect_Type5 :
278    (transrel -> __ -> __ -> __ -> 'a1) -> semantics -> 'a1 **)
[3001]279let rec semantics_rect_Type5 h_mk_semantics x_10546 =
280  let { trans = trans0; ge = ge0 } = x_10546 in
[2601]281  h_mk_semantics trans0 __ __ ge0
282
283(** val semantics_rect_Type3 :
284    (transrel -> __ -> __ -> __ -> 'a1) -> semantics -> 'a1 **)
[3001]285let rec semantics_rect_Type3 h_mk_semantics x_10548 =
286  let { trans = trans0; ge = ge0 } = x_10548 in
[2601]287  h_mk_semantics trans0 __ __ ge0
288
289(** val semantics_rect_Type2 :
290    (transrel -> __ -> __ -> __ -> 'a1) -> semantics -> 'a1 **)
[3001]291let rec semantics_rect_Type2 h_mk_semantics x_10550 =
292  let { trans = trans0; ge = ge0 } = x_10550 in
[2601]293  h_mk_semantics trans0 __ __ ge0
294
295(** val semantics_rect_Type1 :
296    (transrel -> __ -> __ -> __ -> 'a1) -> semantics -> 'a1 **)
[3001]297let rec semantics_rect_Type1 h_mk_semantics x_10552 =
298  let { trans = trans0; ge = ge0 } = x_10552 in
[2601]299  h_mk_semantics trans0 __ __ ge0
300
301(** val semantics_rect_Type0 :
302    (transrel -> __ -> __ -> __ -> 'a1) -> semantics -> 'a1 **)
[3001]303let rec semantics_rect_Type0 h_mk_semantics x_10554 =
304  let { trans = trans0; ge = ge0 } = x_10554 in
[2601]305  h_mk_semantics trans0 __ __ ge0
306
307(** val trans : semantics -> transrel **)
308let rec trans xxx =
309  xxx.trans
310
311(** val ge : semantics -> __ **)
312let rec ge xxx =
313  xxx.ge
314
315(** val semantics_inv_rect_Type4 :
316    semantics -> (transrel -> __ -> __ -> __ -> __ -> 'a1) -> 'a1 **)
317let semantics_inv_rect_Type4 hterm h1 =
318  let hcut = semantics_rect_Type4 h1 hterm in hcut __
319
320(** val semantics_inv_rect_Type3 :
321    semantics -> (transrel -> __ -> __ -> __ -> __ -> 'a1) -> 'a1 **)
322let semantics_inv_rect_Type3 hterm h1 =
323  let hcut = semantics_rect_Type3 h1 hterm in hcut __
324
325(** val semantics_inv_rect_Type2 :
326    semantics -> (transrel -> __ -> __ -> __ -> __ -> 'a1) -> 'a1 **)
327let semantics_inv_rect_Type2 hterm h1 =
328  let hcut = semantics_rect_Type2 h1 hterm in hcut __
329
330(** val semantics_inv_rect_Type1 :
331    semantics -> (transrel -> __ -> __ -> __ -> __ -> 'a1) -> 'a1 **)
332let semantics_inv_rect_Type1 hterm h1 =
333  let hcut = semantics_rect_Type1 h1 hterm in hcut __
334
335(** val semantics_inv_rect_Type0 :
336    semantics -> (transrel -> __ -> __ -> __ -> __ -> 'a1) -> 'a1 **)
337let semantics_inv_rect_Type0 hterm h1 =
338  let hcut = semantics_rect_Type0 h1 hterm in hcut __
339
340(** val semantics_jmdiscr : semantics -> semantics -> __ **)
341let semantics_jmdiscr x y =
342  Logic.eq_rect_Type2 x
343    (let { trans = a0; ge = a3 } = x in
344    Obj.magic (fun _ dH -> dH __ __ __ __)) y
345
346type related_semantics = { sem1 : semantics; sem2 : semantics }
347
348(** val related_semantics_rect_Type4 :
349    (semantics -> semantics -> __ -> __ -> __ -> 'a1) -> related_semantics ->
350    'a1 **)
[3001]351let rec related_semantics_rect_Type4 h_mk_related_semantics x_10573 =
352  let { sem1 = sem3; sem2 = sem4 } = x_10573 in
[2601]353  h_mk_related_semantics sem3 sem4 __ __ __
354
355(** val related_semantics_rect_Type5 :
356    (semantics -> semantics -> __ -> __ -> __ -> 'a1) -> related_semantics ->
357    'a1 **)
[3001]358let rec related_semantics_rect_Type5 h_mk_related_semantics x_10575 =
359  let { sem1 = sem3; sem2 = sem4 } = x_10575 in
[2601]360  h_mk_related_semantics sem3 sem4 __ __ __
361
362(** val related_semantics_rect_Type3 :
363    (semantics -> semantics -> __ -> __ -> __ -> 'a1) -> related_semantics ->
364    'a1 **)
[3001]365let rec related_semantics_rect_Type3 h_mk_related_semantics x_10577 =
366  let { sem1 = sem3; sem2 = sem4 } = x_10577 in
[2601]367  h_mk_related_semantics sem3 sem4 __ __ __
368
369(** val related_semantics_rect_Type2 :
370    (semantics -> semantics -> __ -> __ -> __ -> 'a1) -> related_semantics ->
371    'a1 **)
[3001]372let rec related_semantics_rect_Type2 h_mk_related_semantics x_10579 =
373  let { sem1 = sem3; sem2 = sem4 } = x_10579 in
[2601]374  h_mk_related_semantics sem3 sem4 __ __ __
375
376(** val related_semantics_rect_Type1 :
377    (semantics -> semantics -> __ -> __ -> __ -> 'a1) -> related_semantics ->
378    'a1 **)
[3001]379let rec related_semantics_rect_Type1 h_mk_related_semantics x_10581 =
380  let { sem1 = sem3; sem2 = sem4 } = x_10581 in
[2601]381  h_mk_related_semantics sem3 sem4 __ __ __
382
383(** val related_semantics_rect_Type0 :
384    (semantics -> semantics -> __ -> __ -> __ -> 'a1) -> related_semantics ->
385    'a1 **)
[3001]386let rec related_semantics_rect_Type0 h_mk_related_semantics x_10583 =
387  let { sem1 = sem3; sem2 = sem4 } = x_10583 in
[2601]388  h_mk_related_semantics sem3 sem4 __ __ __
389
390(** val sem1 : related_semantics -> semantics **)
391let rec sem1 xxx =
392  xxx.sem1
393
394(** val sem2 : related_semantics -> semantics **)
395let rec sem2 xxx =
396  xxx.sem2
397
398(** val related_semantics_inv_rect_Type4 :
399    related_semantics -> (semantics -> semantics -> __ -> __ -> __ -> __ ->
400    'a1) -> 'a1 **)
401let related_semantics_inv_rect_Type4 hterm h1 =
402  let hcut = related_semantics_rect_Type4 h1 hterm in hcut __
403
404(** val related_semantics_inv_rect_Type3 :
405    related_semantics -> (semantics -> semantics -> __ -> __ -> __ -> __ ->
406    'a1) -> 'a1 **)
407let related_semantics_inv_rect_Type3 hterm h1 =
408  let hcut = related_semantics_rect_Type3 h1 hterm in hcut __
409
410(** val related_semantics_inv_rect_Type2 :
411    related_semantics -> (semantics -> semantics -> __ -> __ -> __ -> __ ->
412    'a1) -> 'a1 **)
413let related_semantics_inv_rect_Type2 hterm h1 =
414  let hcut = related_semantics_rect_Type2 h1 hterm in hcut __
415
416(** val related_semantics_inv_rect_Type1 :
417    related_semantics -> (semantics -> semantics -> __ -> __ -> __ -> __ ->
418    'a1) -> 'a1 **)
419let related_semantics_inv_rect_Type1 hterm h1 =
420  let hcut = related_semantics_rect_Type1 h1 hterm in hcut __
421
422(** val related_semantics_inv_rect_Type0 :
423    related_semantics -> (semantics -> semantics -> __ -> __ -> __ -> __ ->
424    'a1) -> 'a1 **)
425let related_semantics_inv_rect_Type0 hterm h1 =
426  let hcut = related_semantics_rect_Type0 h1 hterm in hcut __
427
428(** val related_semantics_jmdiscr :
429    related_semantics -> related_semantics -> __ **)
430let related_semantics_jmdiscr x y =
431  Logic.eq_rect_Type2 x
432    (let { sem1 = a0; sem2 = a1 } = x in
433    Obj.magic (fun _ dH -> dH __ __ __ __ __)) y
434
435type order_sim =
436  related_semantics
437  (* singleton inductive, whose constructor was mk_order_sim *)
438
439(** val order_sim_rect_Type4 :
440    (related_semantics -> __ -> __ -> 'a1) -> order_sim -> 'a1 **)
[3001]441let rec order_sim_rect_Type4 h_mk_order_sim x_10604 =
442  let sem = x_10604 in h_mk_order_sim sem __ __
[2601]443
444(** val order_sim_rect_Type5 :
445    (related_semantics -> __ -> __ -> 'a1) -> order_sim -> 'a1 **)
[3001]446let rec order_sim_rect_Type5 h_mk_order_sim x_10606 =
447  let sem = x_10606 in h_mk_order_sim sem __ __
[2601]448
449(** val order_sim_rect_Type3 :
450    (related_semantics -> __ -> __ -> 'a1) -> order_sim -> 'a1 **)
[3001]451let rec order_sim_rect_Type3 h_mk_order_sim x_10608 =
452  let sem = x_10608 in h_mk_order_sim sem __ __
[2601]453
454(** val order_sim_rect_Type2 :
455    (related_semantics -> __ -> __ -> 'a1) -> order_sim -> 'a1 **)
[3001]456let rec order_sim_rect_Type2 h_mk_order_sim x_10610 =
457  let sem = x_10610 in h_mk_order_sim sem __ __
[2601]458
459(** val order_sim_rect_Type1 :
460    (related_semantics -> __ -> __ -> 'a1) -> order_sim -> 'a1 **)
[3001]461let rec order_sim_rect_Type1 h_mk_order_sim x_10612 =
462  let sem = x_10612 in h_mk_order_sim sem __ __
[2601]463
464(** val order_sim_rect_Type0 :
465    (related_semantics -> __ -> __ -> 'a1) -> order_sim -> 'a1 **)
[3001]466let rec order_sim_rect_Type0 h_mk_order_sim x_10614 =
467  let sem = x_10614 in h_mk_order_sim sem __ __
[2601]468
469(** val sem : order_sim -> related_semantics **)
470let rec sem xxx =
471  let yyy = xxx in yyy
472
473(** val order_sim_inv_rect_Type4 :
474    order_sim -> (related_semantics -> __ -> __ -> __ -> 'a1) -> 'a1 **)
475let order_sim_inv_rect_Type4 hterm h1 =
476  let hcut = order_sim_rect_Type4 h1 hterm in hcut __
477
478(** val order_sim_inv_rect_Type3 :
479    order_sim -> (related_semantics -> __ -> __ -> __ -> 'a1) -> 'a1 **)
480let order_sim_inv_rect_Type3 hterm h1 =
481  let hcut = order_sim_rect_Type3 h1 hterm in hcut __
482
483(** val order_sim_inv_rect_Type2 :
484    order_sim -> (related_semantics -> __ -> __ -> __ -> 'a1) -> 'a1 **)
485let order_sim_inv_rect_Type2 hterm h1 =
486  let hcut = order_sim_rect_Type2 h1 hterm in hcut __
487
488(** val order_sim_inv_rect_Type1 :
489    order_sim -> (related_semantics -> __ -> __ -> __ -> 'a1) -> 'a1 **)
490let order_sim_inv_rect_Type1 hterm h1 =
491  let hcut = order_sim_rect_Type1 h1 hterm in hcut __
492
493(** val order_sim_inv_rect_Type0 :
494    order_sim -> (related_semantics -> __ -> __ -> __ -> 'a1) -> 'a1 **)
495let order_sim_inv_rect_Type0 hterm h1 =
496  let hcut = order_sim_rect_Type0 h1 hterm in hcut __
497
498(** val order_sim_jmdiscr : order_sim -> order_sim -> __ **)
499let order_sim_jmdiscr x y =
500  Logic.eq_rect_Type2 x (let a0 = x in Obj.magic (fun _ dH -> dH __ __ __)) y
501
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