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
|
//-----------------------------------------------------------------------------
//
// Copyright (C) Microsoft Corporation. All Rights Reserved.
//
//-----------------------------------------------------------------------------
using System;
using System.Collections;
using System.Collections.Generic;
using System.Threading;
using System.IO;
using System.Diagnostics;
using System.Diagnostics.Contracts;
using Microsoft.Boogie.AbstractInterpretation;
using Microsoft.Boogie.VCExprAST;
using Microsoft.Basetypes;
namespace Microsoft.Boogie
{
/// <summary>
/// Interface to the theorem prover specialized to Boogie.
///
/// This class creates the appropriate background axioms. There
/// should be one instance per BoogiePL program.
/// </summary>
public sealed class Checker
{
[ContractInvariantMethod]
void ObjectInvariant()
{
Contract.Invariant(gen!=null);
Contract.Invariant(thmProver != null);
Contract.Invariant(ProverDone != null);
}
private readonly VCExpressionGenerator gen;
private ProverInterface thmProver;
private CommandLineOptions.BvHandling bitvectors;
private int timeout;
// state for the async interface
private volatile ProverInterface.Outcome outcome;
private volatile bool busy;
private volatile bool hasOutput;
private volatile UnexpectedProverOutputException outputExn;
private DateTime proverStart;
private TimeSpan proverRunTime;
private volatile ProverInterface.ErrorHandler handler;
private volatile bool closed;
public readonly AutoResetEvent ProverDone = new AutoResetEvent(false);
private static CommandLineOptions.BvHandling BvHandlingForImpl(Implementation impl)
{
if (impl == null) return CommandLineOptions.Clo.Bitvectors;
bool force_int = false;
bool force_native = false;
cce.NonNull(impl.Proc).CheckBooleanAttribute("forceBvInt", ref force_int);
impl.Proc.CheckBooleanAttribute("forceBvZ3Native", ref force_native);
impl.CheckBooleanAttribute("forceBvInt", ref force_int);
impl.CheckBooleanAttribute("forceBvZ3Native", ref force_native);
if (force_native) return CommandLineOptions.BvHandling.Z3Native;
if (force_int) return CommandLineOptions.BvHandling.ToInt;
return CommandLineOptions.Clo.Bitvectors;
}
public bool WillingToHandle(Implementation impl, int timeout)
{
return !closed && timeout == this.timeout && bitvectors == BvHandlingForImpl(impl);
}
public VCExpressionGenerator VCExprGen
{
get {Contract.Ensures(Contract.Result<VCExpressionGenerator>() != null);
return this.gen; }
}
public ProverInterface TheoremProver
{
get {Contract.Ensures(Contract.Result<ProverInterface>() != null);
return this.thmProver; }
}
/////////////////////////////////////////////////////////////////////////////////
// We share context information for the same program between different Checkers
private struct ContextCacheKey {
[ContractInvariantMethod]
void ObjectInvariant()
{
Contract.Invariant(program!=null);
}
public readonly Program program;
public readonly CommandLineOptions.BvHandling bitvectors;
public ContextCacheKey(Program prog,
CommandLineOptions.BvHandling bitvectors) {
Contract.Requires(prog != null);
this.program = prog;
this.bitvectors = bitvectors;
}
[Pure][Reads(ReadsAttribute.Reads.Nothing)]
public override bool Equals(object that) {
if (that is ContextCacheKey) {
ContextCacheKey thatKey = (ContextCacheKey)that;
return this.program.Equals(thatKey.program) &&
this.bitvectors.Equals(thatKey.bitvectors);
}
return false;
}
[Pure]
public override int GetHashCode() {
return this.program.GetHashCode() + this.bitvectors.GetHashCode();
}
}
/////////////////////////////////////////////////////////////////////////////////
/// <summary>
/// Constructor. Initialize a checker with the program and log file.
/// </summary>
public Checker(VC.ConditionGeneration vcgen, Program prog, string/*?*/ logFilePath, bool appendLogFile, Implementation impl, int timeout)
{
Contract.Requires(vcgen != null);
Contract.Requires(prog != null);
this.bitvectors = BvHandlingForImpl(impl);
this.timeout = timeout;
ProverOptions options = cce.NonNull(CommandLineOptions.Clo.TheProverFactory).BlankProverOptions();
if (logFilePath != null) {
options.LogFilename = logFilePath;
if (appendLogFile)
options.AppendLogFile = appendLogFile;
}
options.Parse(CommandLineOptions.Clo.ProverOptions);
if (timeout > 0) {
options.TimeLimit = timeout * 1000;
}
options.BitVectors = this.bitvectors;
ContextCacheKey key = new ContextCacheKey (prog, this.bitvectors);
ProverContext ctx;
ProverInterface prover;
if (vcgen.CheckerCommonState == null) {
vcgen.CheckerCommonState = new Dictionary<ContextCacheKey, ProverContext> ();
}
IDictionary<ContextCacheKey, ProverContext>/*!>!*/ cachedContexts = (IDictionary<ContextCacheKey, ProverContext/*!*/>) vcgen.CheckerCommonState;
if (cachedContexts.TryGetValue(key, out ctx)) {
ctx = (ProverContext)cce.NonNull(ctx).Clone();
prover = (ProverInterface)
CommandLineOptions.Clo.TheProverFactory.SpawnProver(options, ctx);
} else {
ctx = (ProverContext)CommandLineOptions.Clo.TheProverFactory.NewProverContext(options);
// set up the context
foreach (Declaration decl in prog.TopLevelDeclarations) {
Contract.Assert(decl != null);
TypeCtorDecl t = decl as TypeCtorDecl;
if (t != null) {
ctx.DeclareType(t, null);
}
}
foreach (Declaration decl in prog.TopLevelDeclarations) {
Contract.Assert(decl != null);
Constant c = decl as Constant;
if (c != null) {
ctx.DeclareConstant(c, c.Unique, null);
} else {
Function f = decl as Function;
if (f != null) {
ctx.DeclareFunction(f, null);
}
}
}
foreach (Declaration decl in prog.TopLevelDeclarations) {
Contract.Assert(decl != null);
bool expand = false;
Axiom ax = decl as Axiom;
decl.CheckBooleanAttribute("inline", ref expand);
if (!expand && ax != null) {
ctx.AddAxiom(ax, null);
}
}
foreach (Declaration decl in prog.TopLevelDeclarations) {
Contract.Assert(decl != null);
GlobalVariable v = decl as GlobalVariable;
if (v != null) {
ctx.DeclareGlobalVariable(v, null);
}
}
// we first generate the prover and then store a clone of the
// context in the cache, so that the prover can setup stuff in
// the context to be cached
prover = (ProverInterface)
CommandLineOptions.Clo.TheProverFactory.SpawnProver(options, ctx);
cachedContexts.Add(key, cce.NonNull((ProverContext)ctx.Clone()));
}
this.thmProver = prover;
this.gen = prover.VCExprGen;
// base();
}
/// <summary>
/// Clean-up.
/// </summary>
public void Close()
{
this.closed = true;
thmProver.Close();
}
/// <summary>
/// Push a Verification Condition as an Axiom
/// (Required for Doomed Program Point detection)
/// </summary>
public void PushVCExpr(VCExpr vc)
{
Contract.Requires(vc != null);
//thmProver.Context.AddAxiom(vc);
thmProver.PushVCExpression(vc);
}
public bool IsBusy
{
get { return busy; }
}
public bool Closed
{
get { return closed; }
}
public bool HasOutput
{
get { return hasOutput; }
}
public TimeSpan ProverRunTime
{
get { return proverRunTime; }
}
private void WaitForOutput(object dummy)
{
try {
outcome = thmProver.CheckOutcome(cce.NonNull(handler));
} catch (UnexpectedProverOutputException e) {
outputExn = e;
}
switch (outcome) {
case ProverInterface.Outcome.Valid:
thmProver.LogComment("Valid");
break;
case ProverInterface.Outcome.Invalid:
thmProver.LogComment("Invalid");
break;
case ProverInterface.Outcome.TimeOut:
thmProver.LogComment("Timed out");
break;
case ProverInterface.Outcome.OutOfMemory:
thmProver.LogComment("Out of memory");
break;
case ProverInterface.Outcome.Undetermined:
thmProver.LogComment("Undetermined");
break;
}
Contract.Assert( busy);
hasOutput = true;
proverRunTime = DateTime.Now - proverStart;
ProverDone.Set();
}
public void BeginCheck(string descriptiveName, VCExpr vc, ProverInterface.ErrorHandler handler){
Contract.Requires(descriptiveName != null);
Contract.Requires(vc != null);
Contract.Requires(handler != null);
Contract.Requires( !IsBusy);
Contract.Assert( !busy);
busy = true;
hasOutput = false;
outputExn = null;
this.handler = handler;
proverStart = DateTime.Now;
thmProver.BeginCheck(descriptiveName, vc, handler);
// gen.ClearSharedFormulas(); PR: don't know yet what to do with this guy
ThreadPool.QueueUserWorkItem(WaitForOutput);
}
public ProverInterface.Outcome ReadOutcome(){
Contract.Requires( IsBusy);
Contract.Requires( HasOutput);
Contract.EnsuresOnThrow< UnexpectedProverOutputException>(true);
hasOutput = false;
busy = false;
if (outputExn != null) {
throw outputExn;
}
return outcome;
}
}
// -----------------------------------------------------------------------------------------------
// -----------------------------------------------------------------------------------------------
// -----------------------------------------------------------------------------------------------
public class ErrorModel {
public Dictionary<string/*!*/, int>/*!*/ identifierToPartition;
public List<List<string/*!>>!*/>> partitionToIdentifiers;
public List<Object>/*!*/ partitionToValue;
public Dictionary<object, int>/*!*/ valueToPartition;
public Dictionary<string/*!*/, List<List<int>>/*!*/>/*!*/ definedFunctions;
[ContractInvariantMethod]
void ObjectInvariant()
{
Contract.Invariant(cce.NonNullElements(identifierToPartition));
Contract.Invariant(partitionToIdentifiers != null);
Contract.Invariant(Contract.ForAll(partitionToIdentifiers,i=>cce.NonNullElements(i)));
Contract.Invariant(partitionToValue != null);
Contract.Invariant(valueToPartition != null);
Contract.Invariant(cce.NonNullElements(definedFunctions));
}
public ErrorModel(Dictionary<string, int> identifierToPartition, List<List<string>> partitionToIdentifiers, List<Object> partitionToValue, Dictionary<object, int> valueToPartition, Dictionary<string, List<List<int>>> definedFunctions) {
Contract.Requires(cce.NonNullElements(identifierToPartition));
Contract.Requires(partitionToIdentifiers != null);
Contract.Requires(Contract.ForAll(partitionToIdentifiers,i=>cce.NonNullElements(i)));
Contract.Requires(partitionToValue != null);
Contract.Requires(valueToPartition != null);
Contract.Requires(cce.NonNullElements(definedFunctions));
this.identifierToPartition = identifierToPartition;
this.partitionToIdentifiers = partitionToIdentifiers;
this.partitionToValue = partitionToValue;
this.valueToPartition = valueToPartition;
this.definedFunctions = definedFunctions;
}
public virtual void Print(TextWriter writer) {Contract.Requires(writer != null); }
public int LookupPartitionValue(int partition)
{
BigNum bignum = (BigNum) cce.NonNull(partitionToValue)[partition];
return bignum.ToInt;
}
public int LookupControlFlowFunctionAt(int cfc, int id)
{
List<List<int>> tuples = this.definedFunctions["ControlFlow"];
Contract.Assert(tuples != null);
foreach (List<int> tuple in tuples)
{
if (tuple == null) continue;
if (tuple.Count != 3) continue;
if (LookupPartitionValue(tuple[0]) == cfc && LookupPartitionValue(tuple[1]) == id)
return LookupPartitionValue(tuple[2]);
}
Contract.Assert(false);throw new cce.UnreachableException();
return 0;
}
private string LookupSkolemConstant(string name) {
Contract.Requires(name != null);
Contract.Ensures(Contract.Result<string>() != null);
foreach (string functionName in identifierToPartition.Keys)
{
Contract.Assert(functionName != null);
int index = functionName.LastIndexOf("!");
if (index == -1) continue;
string newFunctionName = cce.NonNull(functionName.Remove(index));
if (newFunctionName.Equals(name))
return functionName;
}
return "";
}
private string LookupSkolemFunction(string name) {
Contract.Requires(name != null);
Contract.Ensures(Contract.Result<string>() != null);
foreach (string functionName in definedFunctions.Keys)
{
Contract.Assert(functionName != null);
int index = functionName.LastIndexOf("!");
if (index == -1) continue;
string newFunctionName = cce.NonNull(functionName.Remove(index));
if (newFunctionName.Equals(name))
return functionName;
}
return "";
}
public int LookupSkolemFunctionAt(string functionName, List<int> values)
{
Contract.Requires(functionName!= null);
Contract.Requires(values != null);
string actualFunctionName = LookupSkolemFunction(functionName);
Contract.Assert(actualFunctionName != null);
if (actualFunctionName.Equals(""))
{
// The skolem function is actually a skolem constant
actualFunctionName = LookupSkolemConstant(functionName);
Contract.Assert( !actualFunctionName.Equals(""));
return identifierToPartition[actualFunctionName];
}
List<List<int>> tuples = this.definedFunctions[actualFunctionName];
Contract.Assert( tuples.Count > 0);
// the last tuple is a dummy tuple
for (int n = 0; n < tuples.Count - 1; n++)
{
List<int> tuple = cce.NonNull(tuples[n]);
Contract.Assert( tuple.Count - 1 <= values.Count);
for (int i = 0, j = 0; i < values.Count; i++)
{
if (values[i] == tuple[j]) {
// succeeded in matching tuple[j]
j++;
if (j == tuple.Count-1) return tuple[tuple.Count - 1];
}
}
}
Contract.Assert(false);throw new cce.UnreachableException();
return 0;
}
public List<object>/*!>!*/ PartitionsToValues(List<int> args)
{
Contract.Requires(args != null);
Contract.Ensures(cce.NonNullElements(Contract.Result<List<object>>()));
List<object> vals = new List<object>();
foreach(int i in args)
{
object o = cce.NonNull(partitionToValue[i]);
if (o is bool) {
vals.Add(o);
} else if (o is BigNum) {
vals.Add(o);
} else if (o is List<List<int>>) {
List<List<int>> array = (List<List<int>>) o;
List<List<object>> arrayVal = new List<List<object>>();
foreach (List<int> tuple in array) {
Contract.Assert(tuple != null);
List<object> tupleVal = new List<object>();
foreach (int j in tuple) {
tupleVal.Add(cce.NonNull(partitionToValue[i]));
}
arrayVal.Add(tupleVal);
}
vals.Add(arrayVal);
} else {
Contract.Assert(false);throw new cce.UnreachableException();
}
}
return vals;
}
}
public abstract class ProverInterface
{
public enum Outcome { Valid, Invalid, TimeOut, OutOfMemory, Undetermined }
public class ErrorHandler
{
public virtual void OnModel(IList<string>/*!>!*/ labels, ErrorModel errModel)
{
Contract.Requires(cce.NonNullElements(labels));
}
public virtual void OnResourceExceeded(string message)
{
Contract.Requires(message!=null);
}
public virtual void OnProverWarning(string message)
//modifies Console.Out.*, Console.Error.*;
{
Contract.Requires(message != null);
switch (CommandLineOptions.Clo.PrintProverWarnings) {
case CommandLineOptions.ProverWarnings.None:
break;
case CommandLineOptions.ProverWarnings.Stdout:
Console.WriteLine("Prover warning: " + message);
break;
case CommandLineOptions.ProverWarnings.Stderr:
Console.Error.WriteLine("Prover warning: " + message);
break;
default:
Contract.Assume( false);throw new cce.UnreachableException(); // unexpected case
}
}
public virtual Absy Label2Absy(string label)
{
Contract.Requires(label != null);
Contract.Ensures(Contract.Result<Absy>() != null);
throw new System.NotImplementedException();
}
}
public abstract void BeginCheck(string descriptiveName, VCExpr vc, ErrorHandler handler);
[NoDefaultContract]
public abstract Outcome CheckOutcome(ErrorHandler handler);
public virtual void LogComment(string comment) {
Contract.Requires(comment != null);
}
public virtual void Close() {
}
/// <summary>
/// MSchaef: Allows to Push a VCExpression as Axiom on the prover stack (beta)
/// for now it is only implemented by ProcessTheoremProver and still requires some
/// testing
/// </summary>
public virtual void PushVCExpression(VCExpr vc) {Contract.Requires(vc != null);}
public virtual string VCExpressionToString(VCExpr vc) {Contract.Requires(vc != null);Contract.Ensures(Contract.Result<string>() != null); return ""; }
public virtual void Pop()
{Contract.EnsuresOnThrow< UnexpectedProverOutputException>(true);}
public virtual int NumAxiomsPushed()
{ return 0; }
public virtual int FlushAxiomsToTheoremProver()
{ Contract.EnsuresOnThrow< UnexpectedProverOutputException>(true);return 0; }
public abstract ProverContext Context { get; }
public abstract VCExpressionGenerator VCExprGen { get; }
}
public class ProverInterfaceContracts:ProverInterface{
public override ProverContext Context {
get {
Contract.Ensures(Contract.Result<ProverContext>() != null);
throw new NotImplementedException();
}
}
public override VCExpressionGenerator VCExprGen {
get {
Contract.Ensures(Contract.Result<VCExpressionGenerator>() != null);
throw new NotImplementedException();
}
}
public override void BeginCheck(string descriptiveName, VCExpr vc, ErrorHandler handler){Contract.Requires(descriptiveName != null); Contract.Requires(vc != null);Contract.Requires(handler != null);throw new NotImplementedException();}
[NoDefaultContract]
public override Outcome CheckOutcome(ErrorHandler handler){
Contract.Requires(handler != null);
Contract.EnsuresOnThrow< UnexpectedProverOutputException>(true);
throw new NotImplementedException();}
}
public class ProverException : Exception
{
public ProverException(string s) : base(s)
{
}
}
public class UnexpectedProverOutputException : ProverException, Microsoft.Contracts.ICheckedException
{
public UnexpectedProverOutputException(string s) : base(s)
{
}
}
public class ProverDiedException : UnexpectedProverOutputException
{
public ProverDiedException() : base("Prover died with no further output, perhaps it ran out of memory or was killed.")
{
}
}
}
|