1 | /**CFile*********************************************************************** |
---|
2 | |
---|
3 | FileName [bmcAutSat.c] |
---|
4 | |
---|
5 | PackageName [bmc] |
---|
6 | |
---|
7 | Synopsis [Automaton for BMC] |
---|
8 | |
---|
9 | Author [Mohammad Awedh] |
---|
10 | |
---|
11 | Copyright [This file was created at the University of Colorado at |
---|
12 | Boulder. The University of Colorado at Boulder makes no warranty |
---|
13 | about the suitability of this software for any purpose. It is |
---|
14 | presented on an AS IS basis.] |
---|
15 | ******************************************************************************/ |
---|
16 | |
---|
17 | #include "bmc.h" |
---|
18 | #include "bmcInt.h" |
---|
19 | |
---|
20 | static char rcsid[] UNUSED = "$Id: bmcAutSat.c,v 1.10 2005/04/16 18:02:25 awedh Exp $"; |
---|
21 | |
---|
22 | /*---------------------------------------------------------------------------*/ |
---|
23 | /* Constant declarations */ |
---|
24 | /*---------------------------------------------------------------------------*/ |
---|
25 | |
---|
26 | /*---------------------------------------------------------------------------*/ |
---|
27 | /* Type declarations */ |
---|
28 | /*---------------------------------------------------------------------------*/ |
---|
29 | |
---|
30 | |
---|
31 | /*---------------------------------------------------------------------------*/ |
---|
32 | /* Structure declarations */ |
---|
33 | /*---------------------------------------------------------------------------*/ |
---|
34 | |
---|
35 | |
---|
36 | /*---------------------------------------------------------------------------*/ |
---|
37 | /* Variable declarations */ |
---|
38 | /*---------------------------------------------------------------------------*/ |
---|
39 | |
---|
40 | |
---|
41 | /**AutomaticStart*************************************************************/ |
---|
42 | |
---|
43 | /*---------------------------------------------------------------------------*/ |
---|
44 | /* Static function prototypes */ |
---|
45 | /*---------------------------------------------------------------------------*/ |
---|
46 | |
---|
47 | |
---|
48 | /**AutomaticEnd***************************************************************/ |
---|
49 | |
---|
50 | |
---|
51 | /*---------------------------------------------------------------------------*/ |
---|
52 | /* Definition of exported functions */ |
---|
53 | /*---------------------------------------------------------------------------*/ |
---|
54 | |
---|
55 | |
---|
56 | /*---------------------------------------------------------------------------*/ |
---|
57 | /* Definition of internal functions */ |
---|
58 | /*---------------------------------------------------------------------------*/ |
---|
59 | |
---|
60 | /**Function******************************************************************** |
---|
61 | |
---|
62 | Synopsis [Verify the general LTL formula passes by applying the |
---|
63 | termination criteria that are described in the paper "Proving More |
---|
64 | Properties with Bounded Model Checking"] |
---|
65 | |
---|
66 | Description [Check for the termination on the composition of the |
---|
67 | automaton that describes the negation of the LTL formula and the |
---|
68 | model. We apply the termination criteria as described in the paper |
---|
69 | "Proving More Properties with Bounded Model Checking".] |
---|
70 | |
---|
71 | Return value: |
---|
72 | -1 error in running BMC |
---|
73 | 0 no action |
---|
74 | 1 (m+n-1) <= options->maxK. If no counterexample of length up to (m+n-1), |
---|
75 | the property passes |
---|
76 | 2 (m+n-1) > options->maxK The property is undecided if no counterexample |
---|
77 | of length <= options->maxK. |
---|
78 | 3 Pass by early termination |
---|
79 | |
---|
80 | SideEffects [] |
---|
81 | |
---|
82 | SeeAlso [] |
---|
83 | |
---|
84 | ******************************************************************************/ |
---|
85 | int |
---|
86 | BmcAutLtlCheckForTermination( |
---|
87 | Ntk_Network_t *network, |
---|
88 | array_t *constraintArray, |
---|
89 | BmcCheckForTermination_t *terminationStatus, |
---|
90 | st_table *nodeToMvfAigTable, |
---|
91 | st_table *CoiTable, |
---|
92 | BmcOption_t *options) |
---|
93 | { |
---|
94 | |
---|
95 | BmcCnfClauses_t *cnfClauses = NIL(BmcCnfClauses_t); |
---|
96 | FILE *cnfFile; |
---|
97 | array_t *result = NIL(array_t); |
---|
98 | array_t *unitClause = array_alloc(int, 0); |
---|
99 | array_t *orClause; |
---|
100 | |
---|
101 | long startTime, endTime; |
---|
102 | int k = terminationStatus->k; |
---|
103 | int returnStatus = 0; |
---|
104 | Ltl_Automaton_t *automaton = terminationStatus->automaton; |
---|
105 | |
---|
106 | /* |
---|
107 | If checkLevel == 0 --> check for beta' only and if UNSAT, m=k and chekLevel =1 |
---|
108 | If checkLevel == 1 --> check for beta only and if UNSAT, checkLevel = 2. |
---|
109 | If checkLevel == 2 --> check for alpha only and if UNSAT, n=k and checkLevel = 3. |
---|
110 | If gama is UNSAT up to (m+n-1) and checkLvel = 3, formula passes. |
---|
111 | checkLevel = 4 if (m+n-1) > maxK; |
---|
112 | */ |
---|
113 | startTime = util_cpu_ctime(); |
---|
114 | |
---|
115 | /* =========================== |
---|
116 | Early termination condition |
---|
117 | =========================== */ |
---|
118 | if (options->earlyTermination) { |
---|
119 | if (options->verbosityLevel == BmcVerbosityMax_c) { |
---|
120 | (void) fprintf(vis_stdout, "\nChecking the early termination at k= %d\n", k); |
---|
121 | } |
---|
122 | /* |
---|
123 | Create clauses database |
---|
124 | */ |
---|
125 | cnfClauses = BmcCnfClausesAlloc(); |
---|
126 | |
---|
127 | cnfFile = Cmd_FileOpen(options->satInFile, "w", NIL(char *), 0); |
---|
128 | if (cnfFile == NIL(FILE)) { |
---|
129 | (void)fprintf(vis_stderr, |
---|
130 | "** bmc error: Cannot create CNF output file %s\n", |
---|
131 | options->satInFile); |
---|
132 | return -1; |
---|
133 | } |
---|
134 | BmcAutCnfGenerateClausesForSimpleCompositePath(network, automaton, 0, k, BMC_INITIAL_STATES, |
---|
135 | cnfClauses, nodeToMvfAigTable, CoiTable); |
---|
136 | BmcWriteClauses(NIL(mAig_Manager_t), cnfFile, cnfClauses, options); |
---|
137 | (void) fclose(cnfFile); |
---|
138 | BmcCnfClausesFree(cnfClauses); |
---|
139 | |
---|
140 | result = BmcCheckSAT(options); |
---|
141 | if(options->satSolverError){ |
---|
142 | return -1; |
---|
143 | } |
---|
144 | if(result == NIL(array_t)) { |
---|
145 | (void) fprintf(vis_stdout, "# BMC: by early ermination\n"); |
---|
146 | return 3; |
---|
147 | } |
---|
148 | } /* Early termination */ |
---|
149 | if((!automaton->fairSets) && |
---|
150 | (terminationStatus->checkLevel == 0)) { |
---|
151 | /* |
---|
152 | All the automaton states are fair states. So, beta' and beta are always UNSAT. |
---|
153 | */ |
---|
154 | terminationStatus->m = 0; |
---|
155 | (void) fprintf(vis_stdout,"Value of m = %d\n", terminationStatus->m); |
---|
156 | terminationStatus->checkLevel = 2; |
---|
157 | } |
---|
158 | /* |
---|
159 | beta''(k) |
---|
160 | */ |
---|
161 | if(terminationStatus->checkLevel == 0){ |
---|
162 | int i; |
---|
163 | /* |
---|
164 | Create clauses database |
---|
165 | */ |
---|
166 | cnfClauses = BmcCnfClausesAlloc(); |
---|
167 | if (options->verbosityLevel == BmcVerbosityMax_c) { |
---|
168 | (void) fprintf(vis_stdout, "# BMC: Check Beta'' \n"); |
---|
169 | } |
---|
170 | cnfFile = Cmd_FileOpen(options->satInFile, "w", NIL(char *), 0); |
---|
171 | if (cnfFile == NIL(FILE)) { |
---|
172 | (void)fprintf(vis_stderr, |
---|
173 | "** bmc error: Cannot create CNF output file %s\n", |
---|
174 | options->satInFile); |
---|
175 | return -1; |
---|
176 | } |
---|
177 | BmcAutCnfGenerateClausesForSimpleCompositePath(network, automaton, 0, k+1, BMC_NO_INITIAL_STATES, |
---|
178 | cnfClauses, nodeToMvfAigTable, CoiTable); |
---|
179 | for(i=1; i<=k+1; i++){ |
---|
180 | if(constraintArray != NIL(array_t)){ |
---|
181 | Ctlsp_Formula_t *formula; |
---|
182 | int j; |
---|
183 | |
---|
184 | arrayForEachItem(Ctlsp_Formula_t *, constraintArray, j, formula) { |
---|
185 | array_insert(int, unitClause, 0, |
---|
186 | - BmcGenerateCnfForLtl(network, formula, i, i, -1, cnfClauses) |
---|
187 | ); |
---|
188 | BmcCnfInsertClause(cnfClauses, unitClause); |
---|
189 | } |
---|
190 | } |
---|
191 | array_insert(int, unitClause, 0, |
---|
192 | - BmcAutGenerateCnfForBddOffSet(automaton->fairSets, i, i, cnfClauses, NIL(st_table)) |
---|
193 | ); |
---|
194 | BmcCnfInsertClause(cnfClauses, unitClause); |
---|
195 | } |
---|
196 | if(constraintArray != NIL(array_t)){ |
---|
197 | Ctlsp_Formula_t *formula; |
---|
198 | int j; |
---|
199 | |
---|
200 | orClause = array_alloc(int, 0); |
---|
201 | |
---|
202 | arrayForEachItem(Ctlsp_Formula_t *, constraintArray, j, formula) { |
---|
203 | array_insert_last(int, orClause, |
---|
204 | BmcGenerateCnfForLtl(network, formula, k+1, k+1, -1, cnfClauses) |
---|
205 | ); |
---|
206 | } |
---|
207 | array_insert_last(int, orClause, |
---|
208 | BmcAutGenerateCnfForBddOffSet(automaton->fairSets, k+1, k+1, cnfClauses, NIL(st_table)) |
---|
209 | ); |
---|
210 | BmcCnfInsertClause(cnfClauses, orClause); |
---|
211 | array_free(orClause); |
---|
212 | } else { |
---|
213 | array_insert(int, unitClause, 0, |
---|
214 | BmcAutGenerateCnfForBddOffSet(automaton->fairSets, 0, 0, cnfClauses, NIL(st_table)) |
---|
215 | ); |
---|
216 | BmcCnfInsertClause(cnfClauses, unitClause); |
---|
217 | } |
---|
218 | BmcWriteClauses(NIL(mAig_Manager_t), cnfFile, cnfClauses, options); |
---|
219 | (void) fclose(cnfFile); |
---|
220 | |
---|
221 | result = BmcCheckSAT(options); |
---|
222 | |
---|
223 | if(options->satSolverError){ |
---|
224 | return -1; |
---|
225 | } |
---|
226 | if(result == NIL(array_t)) { |
---|
227 | terminationStatus->m = k; |
---|
228 | (void)fprintf(vis_stderr,"m = %d\n", terminationStatus->m); |
---|
229 | terminationStatus->checkLevel = 1; |
---|
230 | } |
---|
231 | BmcCnfClausesFree(cnfClauses); |
---|
232 | } /* Check for Beta' */ |
---|
233 | |
---|
234 | /* |
---|
235 | beta'(k) |
---|
236 | */ |
---|
237 | if(terminationStatus->checkLevel == 0){ |
---|
238 | int i; |
---|
239 | /* |
---|
240 | Create clauses database |
---|
241 | */ |
---|
242 | cnfClauses = BmcCnfClausesAlloc(); |
---|
243 | if (options->verbosityLevel == BmcVerbosityMax_c) { |
---|
244 | (void) fprintf(vis_stdout, "# BMC: Check Beta' \n"); |
---|
245 | } |
---|
246 | cnfFile = Cmd_FileOpen(options->satInFile, "w", NIL(char *), 0); |
---|
247 | if (cnfFile == NIL(FILE)) { |
---|
248 | (void)fprintf(vis_stderr, |
---|
249 | "** bmc error: Cannot create CNF output file %s\n", |
---|
250 | options->satInFile); |
---|
251 | return -1; |
---|
252 | } |
---|
253 | BmcAutCnfGenerateClausesForSimpleCompositePath(network, automaton, 0, k+1, BMC_NO_INITIAL_STATES, |
---|
254 | cnfClauses, nodeToMvfAigTable, CoiTable); |
---|
255 | for(i=0; i<=k; i++){ |
---|
256 | if(constraintArray != NIL(array_t)){ |
---|
257 | Ctlsp_Formula_t *formula; |
---|
258 | int j; |
---|
259 | |
---|
260 | arrayForEachItem(Ctlsp_Formula_t *, constraintArray, j, formula) { |
---|
261 | array_insert(int, unitClause, 0, |
---|
262 | - BmcGenerateCnfForLtl(network, formula, i, i, -1, cnfClauses) |
---|
263 | ); |
---|
264 | BmcCnfInsertClause(cnfClauses, unitClause); |
---|
265 | } |
---|
266 | } |
---|
267 | array_insert(int, unitClause, 0, |
---|
268 | - BmcAutGenerateCnfForBddOffSet(automaton->fairSets, i, i, cnfClauses, NIL(st_table)) |
---|
269 | ); |
---|
270 | BmcCnfInsertClause(cnfClauses, unitClause); |
---|
271 | } |
---|
272 | if(constraintArray != NIL(array_t)){ |
---|
273 | Ctlsp_Formula_t *formula; |
---|
274 | int j; |
---|
275 | |
---|
276 | orClause = array_alloc(int, 0); |
---|
277 | |
---|
278 | arrayForEachItem(Ctlsp_Formula_t *, constraintArray, j, formula) { |
---|
279 | array_insert_last(int, orClause, |
---|
280 | BmcGenerateCnfForLtl(network, formula, k+1, k+1, -1, cnfClauses) |
---|
281 | ); |
---|
282 | } |
---|
283 | array_insert_last(int, orClause, |
---|
284 | BmcAutGenerateCnfForBddOffSet(automaton->fairSets, k+1, k+1, cnfClauses, NIL(st_table)) |
---|
285 | ); |
---|
286 | BmcCnfInsertClause(cnfClauses, orClause); |
---|
287 | array_free(orClause); |
---|
288 | } else { |
---|
289 | array_insert(int, unitClause, 0, |
---|
290 | BmcAutGenerateCnfForBddOffSet(automaton->fairSets, k+1, k+1, cnfClauses, NIL(st_table)) |
---|
291 | ); |
---|
292 | BmcCnfInsertClause(cnfClauses, unitClause); |
---|
293 | } |
---|
294 | |
---|
295 | BmcWriteClauses(NIL(mAig_Manager_t), cnfFile, cnfClauses, options); |
---|
296 | (void) fclose(cnfFile); |
---|
297 | |
---|
298 | result = BmcCheckSAT(options); |
---|
299 | |
---|
300 | if(options->satSolverError){ |
---|
301 | return -1; |
---|
302 | } |
---|
303 | if(result == NIL(array_t)) { |
---|
304 | terminationStatus->m = k; |
---|
305 | (void)fprintf(vis_stdout,"Value of m = %d\n", terminationStatus->m); |
---|
306 | terminationStatus->checkLevel = 1; |
---|
307 | } |
---|
308 | BmcCnfClausesFree(cnfClauses); |
---|
309 | } /* Check for Beta' */ |
---|
310 | |
---|
311 | /* |
---|
312 | Check for Beta. |
---|
313 | */ |
---|
314 | if(terminationStatus->checkLevel == 1){ |
---|
315 | cnfClauses = BmcCnfClausesAlloc(); |
---|
316 | {/* To print a witness */ |
---|
317 | /* lsGen lsGen; |
---|
318 | vertex_t *vtx; |
---|
319 | Ltl_AutomatonNode_t *state; |
---|
320 | int i; |
---|
321 | |
---|
322 | foreach_vertex(automaton->G, lsGen, vtx) { |
---|
323 | state = (Ltl_AutomatonNode_t *) vtx->user_data; |
---|
324 | state->cnfIndex = ALLOC(int, k+2); |
---|
325 | for(i=0; i<=k+1; i++){ |
---|
326 | state->cnfIndex[i] = BmcAutGenerateCnfForBddOffSet(state->Encode, i, |
---|
327 | i, cnfClauses, NIL(st_table)); |
---|
328 | } |
---|
329 | } */ |
---|
330 | }/* To print a witness */ |
---|
331 | if (options->verbosityLevel == BmcVerbosityMax_c) { |
---|
332 | (void) fprintf(vis_stdout, "# BMC: Check Beta\n"); |
---|
333 | } |
---|
334 | |
---|
335 | cnfFile = Cmd_FileOpen(options->satInFile, "w", NIL(char *), 0); |
---|
336 | if (cnfFile == NIL(FILE)) { |
---|
337 | (void)fprintf(vis_stderr, |
---|
338 | "** bmc error: Cannot create CNF output file %s\n", |
---|
339 | options->satInFile); |
---|
340 | return -1; |
---|
341 | } |
---|
342 | /* |
---|
343 | Generate a simple path of length k+1. |
---|
344 | */ |
---|
345 | BmcAutCnfGenerateClausesForSimpleCompositePath(network, automaton, 0, k+1, BMC_NO_INITIAL_STATES, |
---|
346 | cnfClauses, nodeToMvfAigTable, |
---|
347 | CoiTable); |
---|
348 | |
---|
349 | if(constraintArray != NIL(array_t)){ |
---|
350 | Ctlsp_Formula_t *formula; |
---|
351 | int j; |
---|
352 | |
---|
353 | arrayForEachItem(Ctlsp_Formula_t *, constraintArray, j, formula) { |
---|
354 | array_insert(int, unitClause, 0, |
---|
355 | - BmcGenerateCnfForLtl(network, formula, k, k, -1, cnfClauses) |
---|
356 | ); |
---|
357 | BmcCnfInsertClause(cnfClauses, unitClause); |
---|
358 | } |
---|
359 | } |
---|
360 | |
---|
361 | array_insert(int, unitClause, 0, |
---|
362 | - BmcAutGenerateCnfForBddOffSet(automaton->fairSets, k, k, cnfClauses, NIL(st_table)) |
---|
363 | ); |
---|
364 | BmcCnfInsertClause(cnfClauses, unitClause); |
---|
365 | |
---|
366 | if(constraintArray != NIL(array_t)){ |
---|
367 | Ctlsp_Formula_t *formula; |
---|
368 | int j; |
---|
369 | |
---|
370 | orClause = array_alloc(int, 0); |
---|
371 | |
---|
372 | arrayForEachItem(Ctlsp_Formula_t *, constraintArray, j, formula) { |
---|
373 | array_insert_last(int, orClause, |
---|
374 | BmcGenerateCnfForLtl(network, formula, k+1, k+1, -1, cnfClauses) |
---|
375 | ); |
---|
376 | } |
---|
377 | array_insert_last(int, orClause, |
---|
378 | BmcAutGenerateCnfForBddOffSet(automaton->fairSets, k+1, k+1, cnfClauses, NIL(st_table)) |
---|
379 | ); |
---|
380 | BmcCnfInsertClause(cnfClauses, orClause); |
---|
381 | array_free(orClause); |
---|
382 | } else { |
---|
383 | array_insert(int, unitClause, 0, |
---|
384 | BmcAutGenerateCnfForBddOffSet(automaton->fairSets, k+1, k+1, cnfClauses, NIL(st_table)) |
---|
385 | ); |
---|
386 | BmcCnfInsertClause(cnfClauses, unitClause); |
---|
387 | } |
---|
388 | |
---|
389 | BmcWriteClauses(NIL(mAig_Manager_t), cnfFile, cnfClauses, options); |
---|
390 | (void) fclose(cnfFile); |
---|
391 | |
---|
392 | result = BmcCheckSAT(options); |
---|
393 | |
---|
394 | if(options->satSolverError){ |
---|
395 | return -1; |
---|
396 | } |
---|
397 | if(result == NIL(array_t)) { |
---|
398 | terminationStatus->checkLevel = 2; |
---|
399 | } |
---|
400 | BmcCnfClausesFree(cnfClauses); |
---|
401 | } /* Check Beta*/ |
---|
402 | |
---|
403 | if(terminationStatus->checkLevel == 2){ /* we check Alpha if Beta is unsatisfiable */ |
---|
404 | |
---|
405 | if (options->verbosityLevel == BmcVerbosityMax_c) { |
---|
406 | (void) fprintf(vis_stdout, "# BMC: Check Alpha \n"); |
---|
407 | } |
---|
408 | |
---|
409 | cnfClauses = BmcCnfClausesAlloc(); |
---|
410 | |
---|
411 | cnfFile = Cmd_FileOpen(options->satInFile, "w", NIL(char *), 0); |
---|
412 | if (cnfFile == NIL(FILE)) { |
---|
413 | (void)fprintf(vis_stderr, |
---|
414 | "** bmc error: Cannot create CNF output file %s\n", |
---|
415 | options->satInFile); |
---|
416 | return -1; |
---|
417 | } |
---|
418 | |
---|
419 | BmcAutCnfGenerateClausesForSimpleCompositePath(network, automaton, 0, k, BMC_INITIAL_STATES, |
---|
420 | cnfClauses, nodeToMvfAigTable, CoiTable); |
---|
421 | if(automaton->fairSets){ |
---|
422 | |
---|
423 | if(constraintArray != NIL(array_t)){ |
---|
424 | Ctlsp_Formula_t *formula; |
---|
425 | int j; |
---|
426 | |
---|
427 | orClause = array_alloc(int, 0); |
---|
428 | |
---|
429 | arrayForEachItem(Ctlsp_Formula_t *, constraintArray, j, formula) { |
---|
430 | array_insert_last(int, orClause, |
---|
431 | BmcGenerateCnfForLtl(network, formula, k, k, -1, cnfClauses) |
---|
432 | ); |
---|
433 | } |
---|
434 | array_insert_last(int, orClause, |
---|
435 | BmcAutGenerateCnfForBddOffSet(automaton->fairSets, k, k, cnfClauses, NIL(st_table)) |
---|
436 | ); |
---|
437 | BmcCnfInsertClause(cnfClauses, orClause); |
---|
438 | array_free(orClause); |
---|
439 | } else { |
---|
440 | |
---|
441 | array_insert(int, unitClause, 0, |
---|
442 | BmcAutGenerateCnfForBddOffSet(automaton->fairSets, k, k, cnfClauses, NIL(st_table)) |
---|
443 | ); |
---|
444 | BmcCnfInsertClause(cnfClauses, unitClause); |
---|
445 | } |
---|
446 | } |
---|
447 | BmcWriteClauses(NIL(mAig_Manager_t), cnfFile, cnfClauses, options); |
---|
448 | (void) fclose(cnfFile); |
---|
449 | |
---|
450 | result = BmcCheckSAT(options); |
---|
451 | BmcCnfClausesFree(cnfClauses); |
---|
452 | if(options->satSolverError){ |
---|
453 | return -1; |
---|
454 | } |
---|
455 | if(result == NIL(array_t)) { |
---|
456 | terminationStatus->n = k; |
---|
457 | terminationStatus->checkLevel = 3; |
---|
458 | (void)fprintf(vis_stderr,"m=%d n=%d\n",terminationStatus->m,terminationStatus->n); |
---|
459 | if ((terminationStatus->m+terminationStatus->n-1) <= options->maxK){ |
---|
460 | terminationStatus->k = terminationStatus->m+terminationStatus->n-1; |
---|
461 | if(k==0){ |
---|
462 | /* |
---|
463 | By induction, the property passes. |
---|
464 | */ |
---|
465 | terminationStatus->k = 0; |
---|
466 | } |
---|
467 | returnStatus = 1; |
---|
468 | } else { |
---|
469 | terminationStatus->checkLevel = 4; |
---|
470 | returnStatus = 2; |
---|
471 | } |
---|
472 | } |
---|
473 | }/* Chek for Alpha */ |
---|
474 | |
---|
475 | array_free(unitClause); |
---|
476 | |
---|
477 | if (options->verbosityLevel != BmcVerbosityNone_c) { |
---|
478 | endTime = util_cpu_ctime(); |
---|
479 | fprintf(vis_stdout, "-- Check for termination time time = %10g\n", |
---|
480 | (double)(endTime - startTime) / 1000.0); |
---|
481 | } |
---|
482 | |
---|
483 | return returnStatus; |
---|
484 | |
---|
485 | } /* BmcAutLtlCheckForTermination */ |
---|
486 | |
---|
487 | |
---|
488 | /**Function******************************************************************** |
---|
489 | |
---|
490 | Synopsis [Generate CNF clauses that describe a path in the automaton.] |
---|
491 | |
---|
492 | Description [Generate CNF clauses for a path in the automaton |
---|
493 | starting from "fromState" and ending at "toState". If "initialState" |
---|
494 | = BMC_INITIAL_STATES, the the path starts from an initial state.] |
---|
495 | |
---|
496 | SideEffects [] |
---|
497 | |
---|
498 | SeeAlso [] |
---|
499 | |
---|
500 | ******************************************************************************/ |
---|
501 | void |
---|
502 | BmcAutCnfGenerateClausesForPath( |
---|
503 | Ltl_Automaton_t *automaton, |
---|
504 | int fromState, |
---|
505 | int toState, |
---|
506 | int initialState, |
---|
507 | BmcCnfClauses_t *cnfClauses) |
---|
508 | { |
---|
509 | int k; |
---|
510 | array_t *unitClause = array_alloc(int, 1); |
---|
511 | |
---|
512 | if(initialState){ |
---|
513 | array_insert(int, unitClause, 0, |
---|
514 | BmcAutGenerateCnfForBddOffSet(automaton->initialStates, 0, 0, cnfClauses, automaton->nsPsTable) |
---|
515 | ); |
---|
516 | BmcCnfInsertClause(cnfClauses, unitClause); |
---|
517 | } |
---|
518 | for(k=fromState; k<toState; k++){ |
---|
519 | array_insert(int, unitClause, 0, |
---|
520 | BmcAutGenerateCnfForBddOffSet(automaton->transitionRelation, k, k+1, cnfClauses, automaton->nsPsTable) |
---|
521 | ); |
---|
522 | BmcCnfInsertClause(cnfClauses, unitClause); |
---|
523 | } |
---|
524 | array_free(unitClause); |
---|
525 | |
---|
526 | } /* BmcAutCnfGenerateClausesForPath() */ |
---|
527 | |
---|
528 | |
---|
529 | /**Function******************************************************************** |
---|
530 | |
---|
531 | Synopsis [Generate CNF clauses for a simple path in the composite |
---|
532 | model] |
---|
533 | |
---|
534 | Description [This function generates CNF clauses for a simple path |
---|
535 | from state "fromState" to state "toState" in the composition of |
---|
536 | network and automaton. A simple path is a path along which every |
---|
537 | state in the path is distinct. If Si and Sj in the path then Si != |
---|
538 | Sj. |
---|
539 | |
---|
540 | If the value of "initialState" is BMC_INITIAL_STATES, then the path |
---|
541 | is an initialized path. Otherwise "initialState" is |
---|
542 | BMC_NO_INITIAL_STATES.] |
---|
543 | |
---|
544 | SideEffects [] |
---|
545 | |
---|
546 | SeeAlso [] |
---|
547 | |
---|
548 | ******************************************************************************/ |
---|
549 | void |
---|
550 | BmcAutCnfGenerateClausesForSimpleCompositePath( |
---|
551 | Ntk_Network_t *network, |
---|
552 | Ltl_Automaton_t *automaton, |
---|
553 | int fromState, |
---|
554 | int toState, |
---|
555 | int initialState, |
---|
556 | BmcCnfClauses_t *cnfClauses, |
---|
557 | st_table *nodeToMvfAigTable, |
---|
558 | st_table *CoiTable) |
---|
559 | { |
---|
560 | int state; |
---|
561 | |
---|
562 | /* |
---|
563 | Generate clauses for a path from fromState to toState in the original model. |
---|
564 | */ |
---|
565 | BmcCnfGenerateClausesForPath(network, fromState, toState, initialState, cnfClauses, nodeToMvfAigTable, CoiTable); |
---|
566 | /* |
---|
567 | Generate clauses for a path from fromState to toState in the Automaton. |
---|
568 | */ |
---|
569 | BmcAutCnfGenerateClausesForPath(automaton, fromState, toState, initialState, cnfClauses); |
---|
570 | |
---|
571 | /* |
---|
572 | Restrict the above path to be simpe path. |
---|
573 | */ |
---|
574 | for(state= fromState + 1; state < toState; state++){ |
---|
575 | BmcCnfNoLoopToAnyPreviouseCompositeStates(network, automaton, fromState, state, |
---|
576 | cnfClauses, nodeToMvfAigTable, CoiTable); |
---|
577 | } |
---|
578 | |
---|
579 | return; |
---|
580 | } /* BmcAutCnfGenerateClausesForSimpleCompositePath */ |
---|
581 | |
---|
582 | |
---|
583 | /**Function******************************************************************** |
---|
584 | |
---|
585 | Synopsis [Generate CNF clauses for no loop from last state to any of |
---|
586 | the previouse states of the path] |
---|
587 | |
---|
588 | Description [Generate CNF clauses for no loop from last state |
---|
589 | "toState" to any of the previous states starting from |
---|
590 | "fromState". It generates the CNF clauses such that the last state |
---|
591 | of the path is not equal to any previous states.] |
---|
592 | |
---|
593 | SideEffects [] |
---|
594 | |
---|
595 | SeeAlso [] |
---|
596 | |
---|
597 | ******************************************************************************/ |
---|
598 | void |
---|
599 | BmcCnfNoLoopToAnyPreviouseCompositeStates( |
---|
600 | Ntk_Network_t *network, |
---|
601 | Ltl_Automaton_t *automaton, |
---|
602 | int fromState, |
---|
603 | int toState, |
---|
604 | BmcCnfClauses_t *cnfClauses, |
---|
605 | st_table *nodeToMvfAigTable, |
---|
606 | st_table *CoiTable) |
---|
607 | { |
---|
608 | mAig_Manager_t *manager = Ntk_NetworkReadMAigManager(network); |
---|
609 | bdd_manager *bddManager = bdd_get_manager(automaton->transitionRelation); |
---|
610 | |
---|
611 | Ntk_Node_t *latch; |
---|
612 | MvfAig_Function_t *latchMvfAig; |
---|
613 | bAigEdge_t *latchBAig; |
---|
614 | array_t *orClause; |
---|
615 | int currentIndex, nextIndex, andIndex1, andIndex2; |
---|
616 | int i, k, mvfSize, bddID; |
---|
617 | |
---|
618 | st_generator *stGen; |
---|
619 | |
---|
620 | /* |
---|
621 | Generates CNF clauses to constrain that the toState is not equal |
---|
622 | to any previouse states starting from fromState. |
---|
623 | |
---|
624 | Assume there are two state varaibles a and b. To check if Si != |
---|
625 | Sj, we must generate clauses for the formula ( ai != aj + bi != |
---|
626 | bj). |
---|
627 | */ |
---|
628 | for(k=fromState; k < toState; k++){ |
---|
629 | orClause = array_alloc(int,0); |
---|
630 | st_foreach_item(CoiTable, stGen, &latch, NULL) { |
---|
631 | |
---|
632 | |
---|
633 | latchMvfAig = Bmc_ReadMvfAig(latch, nodeToMvfAigTable); |
---|
634 | if (latchMvfAig == NIL(MvfAig_Function_t)){ |
---|
635 | latchMvfAig = Bmc_NodeBuildMVF(network, latch); |
---|
636 | array_free(latchMvfAig); |
---|
637 | latchMvfAig = Bmc_ReadMvfAig(latch, nodeToMvfAigTable); |
---|
638 | } |
---|
639 | mvfSize = array_n(latchMvfAig); |
---|
640 | latchBAig = ALLOC(bAigEdge_t, mvfSize); |
---|
641 | |
---|
642 | for(i=0; i< mvfSize; i++){ |
---|
643 | latchBAig[i] = bAig_GetCanonical(manager, MvfAig_FunctionReadComponent(latchMvfAig, i)); |
---|
644 | } |
---|
645 | |
---|
646 | for (i=0; i< mvfSize; i++){ |
---|
647 | currentIndex = BmcGenerateCnfFormulaForAigFunction(manager, latchBAig[i], k ,cnfClauses); |
---|
648 | nextIndex = BmcGenerateCnfFormulaForAigFunction(manager, latchBAig[i], toState ,cnfClauses); |
---|
649 | andIndex1 = cnfClauses->cnfGlobalIndex++; |
---|
650 | BmcCnfGenerateClausesForAND(currentIndex, -nextIndex, andIndex1, cnfClauses); |
---|
651 | andIndex2 = cnfClauses->cnfGlobalIndex++; |
---|
652 | BmcCnfGenerateClausesForAND(-currentIndex, nextIndex, andIndex2, cnfClauses); |
---|
653 | |
---|
654 | array_insert_last(int, orClause, andIndex1); |
---|
655 | array_insert_last(int, orClause, andIndex2); |
---|
656 | } |
---|
657 | FREE(latchBAig); |
---|
658 | }/* For each latch loop*/ |
---|
659 | st_foreach_item(automaton->psNsTable, stGen, &bddID, NULL) { |
---|
660 | currentIndex = BmcGetCnfVarIndexForBddNode(bddManager, bdd_regular(bdd_bdd_ith_var(bddManager, bddID)), |
---|
661 | k, cnfClauses); |
---|
662 | nextIndex = BmcGetCnfVarIndexForBddNode(bddManager, bdd_regular(bdd_bdd_ith_var(bddManager, bddID)), |
---|
663 | toState, cnfClauses); |
---|
664 | |
---|
665 | andIndex1 = cnfClauses->cnfGlobalIndex++; |
---|
666 | BmcCnfGenerateClausesForAND(currentIndex, -nextIndex, andIndex1, cnfClauses); |
---|
667 | andIndex2 = cnfClauses->cnfGlobalIndex++; |
---|
668 | BmcCnfGenerateClausesForAND(-currentIndex, nextIndex, andIndex2, cnfClauses); |
---|
669 | |
---|
670 | array_insert_last(int, orClause, andIndex1); |
---|
671 | array_insert_last(int, orClause, andIndex2); |
---|
672 | } |
---|
673 | BmcCnfInsertClause(cnfClauses, orClause); |
---|
674 | array_free(orClause); |
---|
675 | } /* foreach k*/ |
---|
676 | return; |
---|
677 | } /* BmcCnfNoLoopToAnyPreviouseCompositeStates */ |
---|