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//-----------------------------------------------------------------------------
//
// Copyright (C) Microsoft Corporation. All Rights Reserved.
//
//-----------------------------------------------------------------------------
using System;
//using System.Collections;
using System.Collections.Generic;
using System.Threading;
//using System.IO;
using System.Text;
//using ExternalProver;
using System.Diagnostics;
using System.Diagnostics.Contracts;
using Microsoft.Boogie.AbstractInterpretation;
using Microsoft.Boogie;
using Microsoft.Boogie.VCExprAST;
using Microsoft.Boogie.Clustering;
using Microsoft.Boogie.TypeErasure;
using Microsoft.Boogie.Z3;
using Microsoft.Boogie.Simplify;
namespace Microsoft.Boogie.Z3
{
public class Z3ProcessTheoremProver : ProcessTheoremProver
{
private Z3InstanceOptions opts;
private Inspector inspector;
[ContractInvariantMethod]
void ObjectInvariant()
{
Contract.Invariant(opts!=null);
}
[NotDelayed]
public Z3ProcessTheoremProver(VCExpressionGenerator gen,
DeclFreeProverContext ctx, Z3InstanceOptions opts):base(opts, gen, ctx, opts.ExeName, "TypedUnivBackPred2.sx")
{
Contract.Requires(gen != null);
Contract.Requires(ctx != null);
Contract.Requires(opts != null);
Contract.EnsuresOnThrow<UnexpectedProverOutputException>(true);
this.opts = opts;
}
private void FireUpInspector()
{
if (inspector == null && opts.Inspector != null) {
inspector = new Inspector(opts);
}
}
protected override Microsoft.Boogie.Simplify.ProverProcess CreateProverProcess(string proverPath) {
//Contract.Requires(proverPath!= null);
Contract.Ensures(Contract.Result<Microsoft.Boogie.Simplify.ProverProcess>() != null);
opts.ExeName = proverPath;
FireUpInspector();
if (inspector != null) {
inspector.NewProver();
}
return new Z3ProverProcess(opts, inspector);
}
protected override AxiomVCExprTranslator SpawnVCExprTranslator(ProverOptions opts) {
//Contract.Requires(opts != null);
Contract.Ensures(Contract.Result<AxiomVCExprTranslator>() != null);
return new Z3VCExprTranslator(gen, (Z3InstanceOptions) opts);
}
public override void BeginCheck(string descriptiveName, VCExpr vc, ErrorHandler handler)
{
//Contract.Requires(descriptiveName != null);
//Contract.Requires(vc != null);
//Contract.Requires(handler != null);
FireUpInspector();
if (inspector != null) {
inspector.NewProblem(descriptiveName, vc, handler);
}
base.BeginCheck(descriptiveName, vc, handler);
}
}
public class Z3InstanceOptions : ProverOptions
{
public int Timeout { get { return TimeLimit / 1000; } }
public int Lets {
get
{
Contract.Ensures(0 <= Contract.Result<int>() && Contract.Result<int>() < 4);
return CommandLineOptions.Clo.Z3lets;
}
}
public bool DistZ3 = false;
public string ExeName = "z3.exe";
public bool InverseImplies = false;
public string Inspector = null;
public bool OptimizeForBv = false;
[ContractInvariantMethod]
void ObjectInvariant()
{
Contract.Invariant(ExeName!=null);
}
protected override bool Parse(string opt)
{
//Contract.Requires(opt!=null);
return ParseBool(opt, "REVERSE_IMPLIES", ref InverseImplies) ||
ParseString(opt, "INSPECTOR", ref Inspector) ||
ParseBool(opt, "DIST", ref DistZ3) ||
ParseBool(opt, "OPTIMIZE_FOR_BV", ref OptimizeForBv) ||
base.Parse(opt);
}
public override void PostParse()
{
base.PostParse();
if (DistZ3) {
ExeName = "z3-dist.exe";
CommandLineOptions.Clo.RestartProverPerVC = true;
}
}
public override string Help
{
get
{
return
@"
Z3-specific options:
~~~~~~~~~~~~~~~~~~~~
INSPECTOR=<string> Use the specified Z3Inspector binary.
OPTIMIZE_FOR_BV=<bool> Optimize Z3 options for bitvector reasoning, and not quantifier instantiation. Defaults to false.
Obscure options:
~~~~~~~~~~~~~~~~
DIST=<bool> Use z3-dist.exe binary.
REVERSE_IMPLIES=<bool> Encode P==>Q as Q||!P.
" + base.Help;
// DIST requires non-public binaries
}
}
}
public class Z3LineariserOptions : LineariserOptions {
private readonly Z3InstanceOptions opts;
[ContractInvariantMethod]
void ObjectInvariant()
{
Contract.Invariant(opts!=null);
}
public Z3LineariserOptions(bool asTerm, Z3InstanceOptions opts, List<VCExprVar/*!>!*/> letVariables):base(asTerm) {
Contract.Requires(opts != null);
Contract.Requires(cce.NonNullElements(letVariables));
this.opts = opts;
this.LetVariablesAttr = letVariables;
}
public override bool UseWeights { get {
return true;
} }
public override bool UseTypes { get {
return true;
} }
public override bool QuantifierIds { get {
return true;
} }
public override bool InverseImplies { get {
return opts.InverseImplies;
} }
public override LineariserOptions SetAsTerm(bool newVal) {
Contract.Ensures(Contract.Result<LineariserOptions>() != null);
if (newVal == AsTerm)
return this;
return new Z3LineariserOptions(newVal, opts, LetVariables);
}
// variables representing formulas in let-bindings have to be
// printed in a different way than other variables
private readonly List<VCExprVar/*!>!*/> LetVariablesAttr;
public override List<VCExprVar/*!>!*/> LetVariables { get {
Contract.Ensures(cce.NonNullElements(Contract.Result<List<VCExprVar>>()));
return LetVariablesAttr;
} }
public override LineariserOptions AddLetVariable(VCExprVar furtherVar) {
//Contract.Requires(furtherVar != null);
Contract.Ensures(Contract.Result<LineariserOptions>() != null);
List<VCExprVar/*!>!*/> allVars = new List<VCExprVar/*!*/>();
allVars.AddRange(LetVariables);
allVars.Add(furtherVar);
return new Z3LineariserOptions(AsTerm, opts, allVars);
}
public override LineariserOptions AddLetVariables(List<VCExprVar/*!>!*/> furtherVars) {
//Contract.Requires(furtherVars != null);
Contract.Ensures(Contract.Result<LineariserOptions>() != null);
List<VCExprVar/*!>!*/> allVars = new List<VCExprVar/*!*/> ();
allVars.AddRange(LetVariables);
allVars.AddRange(furtherVars);
return new Z3LineariserOptions(AsTerm, opts, allVars);
}
}
// -----------------------------------------------------------------------------------------------
// -----------------------------------------------------------------------------------------------
// -----------------------------------------------------------------------------------------------
public class Z3VCExprTranslator : AxiomVCExprTranslator {
public Z3VCExprTranslator(VCExpressionGenerator gen, Z3InstanceOptions opts) {
Contract.Requires(gen != null);
Contract.Requires(opts != null);
Gen = gen;
Opts = opts;
TypeAxiomBuilder axBuilder;
switch (CommandLineOptions.Clo.TypeEncodingMethod) {
case CommandLineOptions.TypeEncoding.Arguments:
axBuilder = new TypeAxiomBuilderArguments (gen);
break;
default:
axBuilder = new TypeAxiomBuilderPremisses (gen);
break;
}
axBuilder.Setup();
AxBuilder = axBuilder;
UniqueNamer namer = new UniqueNamer ();
Namer = namer;
this.DeclCollector =
new TypeDeclCollector (namer, true);
}
private Z3VCExprTranslator(Z3VCExprTranslator tl) :base(tl){
Contract.Requires(tl!=null);
Gen = tl.Gen;
Opts = tl.Opts; // we assume that the options have not changed
AxBuilder = (TypeAxiomBuilder)tl.AxBuilder.Clone();
UniqueNamer namer = (UniqueNamer)tl.Namer.Clone();
Namer = namer;
DeclCollector = new TypeDeclCollector (namer, tl.DeclCollector);
}
public override Object Clone() {
Contract.Ensures(Contract.Result<Object>() != null);
return new Z3VCExprTranslator(this);
}
[ContractInvariantMethod]
void ObjectInvariant()
{
Contract.Invariant(Opts!=null);
Contract.Invariant(Gen != null);
Contract.Invariant(AxBuilder != null);
Contract.Invariant(Namer != null);
Contract.Invariant(DeclCollector != null);
}
private readonly Z3InstanceOptions Opts;
private readonly VCExpressionGenerator Gen;
private readonly TypeAxiomBuilder AxBuilder;
private readonly UniqueNamer Namer;
private readonly TypeDeclCollector DeclCollector;
public override string Lookup(VCExprVar var)
{
//Contract.Requires(var != null);
Contract.Ensures(Contract.Result<string>() != null);
VCExprVar v = AxBuilder.TryTyped2Untyped(var);
if (v != null) {
var = v;
}
return Namer.Lookup(var);
}
public override string translate(VCExpr expr, int polarity) {
//Contract.Requires(expr != null);
Contract.Ensures(Contract.Result<string>() != null);
DateTime start = DateTime.Now;
if (CommandLineOptions.Clo.Trace)
Console.Write("Linearising ... ");
// handle the types in the VCExpr
TypeEraser eraser;
switch (CommandLineOptions.Clo.TypeEncodingMethod) {
case CommandLineOptions.TypeEncoding.Arguments:
eraser = new TypeEraserArguments((TypeAxiomBuilderArguments)AxBuilder, Gen);
break;
case CommandLineOptions.TypeEncoding.Monomorphic:
eraser = null;
break;
default:
eraser = new TypeEraserPremisses((TypeAxiomBuilderPremisses)AxBuilder, Gen);
break;
}
VCExpr exprWithoutTypes = eraser != null ? eraser.Erase(expr, polarity) : expr;
Contract.Assert(exprWithoutTypes!=null);
LetBindingSorter letSorter = new LetBindingSorter(Gen);
Contract.Assert(letSorter!=null);
VCExpr sortedExpr = letSorter.Mutate(exprWithoutTypes, true);
Contract.Assert(sortedExpr!=null);
VCExpr sortedAxioms = letSorter.Mutate(AxBuilder.GetNewAxioms(), true);
Contract.Assert(sortedAxioms!=null);
DeclCollector.Collect(sortedAxioms);
DeclCollector.Collect(sortedExpr);
FeedTypeDeclsToProver();
if (Opts.Lets != 3) {
// replace let expressions with implies
Let2ImpliesMutator letImplier = new Let2ImpliesMutator(Gen, Opts.Lets == 1, Opts.Lets == 2);
sortedExpr = letImplier.Mutate(sortedExpr);
sortedAxioms = letImplier.Mutate(sortedAxioms);
}
//////////////////////////////////////////////////////////////////////////
//SubtermCollector! coll = new SubtermCollector (gen);
//coll.Traverse(sortedExpr, true);
//coll.Traverse(sortedAxioms, true);
//coll.UnifyClusters();
//Console.WriteLine(coll);
//////////////////////////////////////////////////////////////////////////
LineariserOptions linOptions = new Z3LineariserOptions(false, Opts, new List<VCExprVar/*!*/>());
AddAxiom(SimplifyLikeExprLineariser.ToString(sortedAxioms, linOptions, Namer));
string res = SimplifyLikeExprLineariser.ToString(sortedExpr, linOptions, Namer);
Contract.Assert(res!=null);
if (CommandLineOptions.Clo.Trace) {
TimeSpan elapsed = DateTime.Now - start;
Console.WriteLine("finished [{0} s] ", elapsed.TotalSeconds);
}
return res;
}
private void FeedTypeDeclsToProver() {
foreach (string s in DeclCollector.GetNewDeclarations()) {
Contract.Assert(s != null);
AddTypeDecl(s);
}
}
}
// -----------------------------------------------------------------------------------------------
// -----------------------------------------------------------------------------------------------
// -----------------------------------------------------------------------------------------------
public class Factory : ProverFactory
{
public override object SpawnProver(ProverOptions popts, object ctxt)
{
//Contract.Requires(popts != null);
//Contract.Requires(ctxt != null);
Contract.Ensures(Contract.Result<object>() != null);
Z3InstanceOptions opts = cce.NonNull((Z3InstanceOptions)popts);
return this.SpawnProver(cce.NonNull((DeclFreeProverContext)ctxt).ExprGen,
cce.NonNull((DeclFreeProverContext)ctxt),
opts);
}
public override object NewProverContext(ProverOptions options) {
//Contract.Requires(options != null);
//Contract.Ensures(Contract.Result<object>() != null);
if (CommandLineOptions.Clo.BracketIdsInVC < 0) {
CommandLineOptions.Clo.BracketIdsInVC = 0;
}
Z3InstanceOptions opts = cce.NonNull((Z3InstanceOptions)options);
VCExpressionGenerator gen = new VCExpressionGenerator ();
List<string/*!>!*/> proverCommands = new List<string/*!*/> ();
proverCommands.Add("z3");
proverCommands.Add("simplifyLike");
VCGenerationOptions genOptions = new VCGenerationOptions(proverCommands);
return NewProverContext(gen, genOptions, opts);
}
public override ProverOptions BlankProverOptions()
{
Contract.Ensures(Contract.Result<ProverOptions>() != null);
return new Z3InstanceOptions();
}
protected virtual Z3ProcessTheoremProver SpawnProver(VCExpressionGenerator gen,
DeclFreeProverContext ctx,
Z3InstanceOptions opts) {
Contract.Requires(gen != null);
Contract.Requires(ctx != null);
Contract.Requires(opts != null);
Contract.Ensures(Contract.Result<Z3ProcessTheoremProver>() != null);
return new Z3ProcessTheoremProver(gen, ctx, opts);
}
protected virtual DeclFreeProverContext NewProverContext(VCExpressionGenerator gen,
VCGenerationOptions genOptions,
Z3InstanceOptions opts)
{
return new DeclFreeProverContext(gen, genOptions);
}
}
}
|