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-rw-r--r--Source/VCExpr/TermFormulaFlattening.cs494
1 files changed, 247 insertions, 247 deletions
diff --git a/Source/VCExpr/TermFormulaFlattening.cs b/Source/VCExpr/TermFormulaFlattening.cs
index 7815413f..c4150024 100644
--- a/Source/VCExpr/TermFormulaFlattening.cs
+++ b/Source/VCExpr/TermFormulaFlattening.cs
@@ -1,248 +1,248 @@
-//-----------------------------------------------------------------------------
-//
-// Copyright (C) Microsoft Corporation. All Rights Reserved.
-//
-//-----------------------------------------------------------------------------
-using System;
-using System.Text;
-using System.IO;
-using System.Linq;
-using System.Collections;
-using System.Collections.Generic;
-using System.Diagnostics.Contracts;
-using Microsoft.Basetypes;
-using Microsoft.Boogie.VCExprAST;
-
-// Ensure that no formulas (expressions of type boolean that are not
-// just a variable) occur with terms (expressions of some other
-// type). This is done by introducing let-binders for boolean
-// variables.
-
-namespace Microsoft.Boogie.VCExprAST
-{
-
- public struct FlattenerState {
- public readonly int Polarity;
- public readonly bool InTerm;
-
- public static FlattenerState INITIAL = new FlattenerState(1, false);
-
- public FlattenerState(int polarity, bool inTerm) {
- Polarity = polarity;
- InTerm = inTerm;
- }
-
- public FlattenerState TogglePolarity { get {
- return new FlattenerState(-Polarity, InTerm);
- } }
-
- public FlattenerState ZeroPolarity { get {
- return new FlattenerState(0, InTerm);
- } }
-
- public FlattenerState EnterTerm { get {
- return new FlattenerState(Polarity, true);
- } }
- }
-
- //////////////////////////////////////////////////////////////////////////////
-
- public class TermFormulaFlattener : MutatingVCExprVisitor<FlattenerState> {
-
- public TermFormulaFlattener(VCExpressionGenerator gen):base(gen){
-Contract.Requires(gen != null);
-
- }
-
- private readonly IDictionary<VCExpr/*!*/, VCExprVar/*!*/>/*!*/ Bindings =
- new Dictionary<VCExpr/*!*/, VCExprVar/*!*/> ();
-
- private int varNameCounter = 0;
-
- public VCExpr Flatten(VCExpr expr){
-Contract.Requires(expr != null);
-Contract.Ensures(Contract.Result<VCExpr>() != null);
- VCExpr/*!*/ res = Mutate(expr, FlattenerState.INITIAL);
- Contract.Assert(res != null);
- while (Bindings.Count > 0) {
- List<VCExprLetBinding/*!*/>/*!*/ letBindings = new List<VCExprLetBinding/*!*/> ();
- foreach (KeyValuePair<VCExpr/*!*/, VCExprVar/*!*/> pair in Bindings){Contract.Assert(cce.NonNullElements(pair));
- letBindings.Add(Gen.LetBinding(pair.Value, pair.Key));}
- Bindings.Clear();
- res = AddBindings(letBindings, res, FlattenerState.INITIAL);
- }
- return res;
- }
-
- private VCExprVar GetVarFor(VCExpr expr){
-Contract.Requires(expr != null);
-Contract.Requires((expr.Type.IsBool));
-Contract.Ensures(Contract.Result<VCExprVar>() != null);
- VCExprVar res;
- if (!Bindings.TryGetValue(expr, out res)) {
- string name = "flt" + varNameCounter;
- varNameCounter = varNameCounter + 1;
- res = Gen.Variable(name, Type.Bool);
- Bindings.Add(expr, res);
- }
- return cce.NonNull(res);
- }
-
- // Remove all let-bindings from the field bindings whose rhs
- // contains any of the specified variables
- private List<VCExprLetBinding/*!*/>/*!*/ RemoveBindingsWithVars(List<VCExprVar/*!*/>/*!*/ boundVars, List<TypeVariable/*!*/>/*!*/ boundTypeVars){
-Contract.Requires(cce.NonNullElements(boundTypeVars));
-Contract.Requires(cce.NonNullElements(boundVars));
-Contract.Ensures(cce.NonNullElements(Contract.Result<List<VCExprLetBinding>>()));
- List<VCExprLetBinding/*!*/>/*!*/ res = new List<VCExprLetBinding/*!*/> ();
- FreeVariableCollector/*!*/ coll = new FreeVariableCollector ();
-
- foreach (KeyValuePair<VCExpr, VCExprVar> pair in Bindings) {
- Contract.Assert(cce.NonNullElements(pair));
- coll.Collect(pair.Key);
- if (boundVars.Any(var => coll.FreeTermVars.ContainsKey(var)) ||
- boundTypeVars.Any(var => coll.FreeTypeVars.Contains(var)))
- res.Add(Gen.LetBinding(pair.Value, pair.Key));
- coll.Reset();
- }
-
- foreach (VCExprLetBinding b in res){Contract.Assert(b != null);
- Bindings.Remove(b.E);}
-
- return res;
- }
-
- // Add bindings to a formula using an implication or
- // conjunction. The bindings themselves will be flattened as well,
- // which might introduce further bindings
- private VCExpr AddBindings(List<VCExprLetBinding/*!*/>/*!*/ bindings, VCExpr body, FlattenerState state){
-Contract.Requires(body != null);
-Contract.Requires(cce.NonNullElements(bindings));
-Contract.Requires((body.Type.IsBool));
-Contract.Ensures(Contract.Result<VCExpr>() != null);
-
- List<VCExprLetBinding/*!*/>/*!*/ mutatedBindings = FlattenBindings(bindings, state);
- Contract.Assert(mutatedBindings != null);
- VCExpr/*!*/ bindingEquations = Gen.AsEquations(mutatedBindings);
- Contract.Assert(bindingEquations != null);
- switch(state.Polarity) {
- case 1:
- return Gen.Implies(bindingEquations, body);
- case -1:
- return Gen.And(bindingEquations, body);
- case 0:
- // also add explicit quantifiers for the bound variables
- List<VCExprVar/*!*/>/*!*/ vars = new List<VCExprVar/*!*/> ();
- foreach (VCExprLetBinding/*!*/ binding in mutatedBindings){Contract.Assert(binding != null);
- vars.Add(binding.V);}
- return Gen.Forall(vars, new List<VCTrigger/*!*/>(),
- Gen.Implies(bindingEquations, body));
- }
- Contract.Assert(false); throw new cce.UnreachableException();
- }
-
- private List<VCExprLetBinding/*!*/>/*!*/ FlattenBindings(List<VCExprLetBinding/*!*/>/*!*/ bindings, FlattenerState state){
-Contract.Requires(cce.NonNullElements(bindings));
-Contract.Ensures(cce.NonNullElements(Contract.Result<List<VCExprLetBinding>>()));
- FlattenerState stateInBindings = state.ZeroPolarity;
- List<VCExprLetBinding/*!*/>/*!*/ mutatedBindings = new List<VCExprLetBinding/*!*/> ();
- foreach (VCExprLetBinding/*!*/ b in bindings) {
- Contract.Assert(b != null);
- mutatedBindings.Add(Gen.LetBinding(b.V, Mutate(b.E, stateInBindings)));
- }
- return mutatedBindings;
- }
-
- ////////////////////////////////////////////////////////////////////////////
-
- public override bool AvoidVisit(VCExprNAry node, FlattenerState arg)
- {
- return node.Op.Equals(VCExpressionGenerator.AndOp) ||
- node.Op.Equals(VCExpressionGenerator.OrOp);
- }
-
- public override VCExpr Visit(VCExprNAry node, FlattenerState state){
-Contract.Requires(node != null);
-Contract.Ensures(Contract.Result<VCExpr>() != null);
- // track the polarity to know whether implications or conjunctions
- // are to be introduced
-
- if (node.Op.Equals(VCExpressionGenerator.NotOp))
- return Gen.Not(Mutate(node[0], state.TogglePolarity));
-
- if (node.Op.Equals(VCExpressionGenerator.ImpliesOp)) {
- VCExpr newArg0 = Mutate(node[0], state.TogglePolarity);
- VCExpr newArg1 = Mutate(node[1], state);
- return Gen.Implies(newArg0, newArg1);
- }
-
- if (!node.Type.IsBool)
- state = state.EnterTerm;
-
- if (!node.Op.Equals(VCExpressionGenerator.AndOp) &&
- !node.Op.Equals(VCExpressionGenerator.OrOp) &&
- !(node.Op is VCExprLabelOp))
- // standard is to set the polarity to 0 (fits most operators)
- return base.Visit(node, state.ZeroPolarity);
-
- return base.Visit(node, state);
- }
-
- public override VCExpr Visit(VCExprQuantifier node, FlattenerState state){
-Contract.Requires(node != null);
-Contract.Ensures(Contract.Result<VCExpr>() != null);
- if (state.InTerm)
- return GetVarFor(node);
-
- // we only flatten within the matrix of the quantified formula,
- // not within the triggers (since SMT-solvers do not seem to
- // appreciate triggers with let-binders)
- VCExpr newBody = Mutate(node.Body, state);
-
- // Check whether any of the extracted terms contain variables
- // bound by this quantifier. In this case, we have to add
- // let-binders and remove the extracted terms
- bool cont = true;
- while (cont) {
- List<VCExprLetBinding/*!*/>/*!*/ localBindings =
- RemoveBindingsWithVars(node.BoundVars, node.TypeParameters);
- Contract.Assert(cce.NonNullElements(localBindings));
- if (localBindings.Count > 0)
- newBody = AddBindings(localBindings, newBody, state);
- else
- cont = false;
- }
-
- return Gen.Quantify(node.Quan, node.TypeParameters, node.BoundVars, node.Triggers, node.Infos, newBody);
- }
-
- public override VCExpr Visit(VCExprLet node, FlattenerState state){
-Contract.Requires(node != null);
-Contract.Ensures(Contract.Result<VCExpr>() != null);
- if (state.InTerm)
- return GetVarFor(node);
-
- VCExprLet prelimRes = (VCExprLet)cce.NonNull(base.Visit(node, state));
-
- List<VCExprLetBinding/*!*/>/*!*/ allBindings = new List<VCExprLetBinding/*!*/> ();
- allBindings.AddRange(prelimRes);
-
- // Check whether any of the extracted terms contain variables
- // bound by this binder. In this case, we have to add
- // let-binders and remove the extracted terms
- bool cont = true;
- while (cont) {
- List<VCExprLetBinding/*!*/>/*!*/ localBindings =
- RemoveBindingsWithVars(prelimRes.BoundVars, new List<TypeVariable/*!*/>());
- if (localBindings.Count > 0)
- allBindings.AddRange(FlattenBindings(localBindings, state));
- else
- cont = false;
- }
-
- return Gen.Let(allBindings, prelimRes.Body);
- }
-
- }
-
+//-----------------------------------------------------------------------------
+//
+// Copyright (C) Microsoft Corporation. All Rights Reserved.
+//
+//-----------------------------------------------------------------------------
+using System;
+using System.Text;
+using System.IO;
+using System.Linq;
+using System.Collections;
+using System.Collections.Generic;
+using System.Diagnostics.Contracts;
+using Microsoft.Basetypes;
+using Microsoft.Boogie.VCExprAST;
+
+// Ensure that no formulas (expressions of type boolean that are not
+// just a variable) occur with terms (expressions of some other
+// type). This is done by introducing let-binders for boolean
+// variables.
+
+namespace Microsoft.Boogie.VCExprAST
+{
+
+ public struct FlattenerState {
+ public readonly int Polarity;
+ public readonly bool InTerm;
+
+ public static FlattenerState INITIAL = new FlattenerState(1, false);
+
+ public FlattenerState(int polarity, bool inTerm) {
+ Polarity = polarity;
+ InTerm = inTerm;
+ }
+
+ public FlattenerState TogglePolarity { get {
+ return new FlattenerState(-Polarity, InTerm);
+ } }
+
+ public FlattenerState ZeroPolarity { get {
+ return new FlattenerState(0, InTerm);
+ } }
+
+ public FlattenerState EnterTerm { get {
+ return new FlattenerState(Polarity, true);
+ } }
+ }
+
+ //////////////////////////////////////////////////////////////////////////////
+
+ public class TermFormulaFlattener : MutatingVCExprVisitor<FlattenerState> {
+
+ public TermFormulaFlattener(VCExpressionGenerator gen):base(gen){
+Contract.Requires(gen != null);
+
+ }
+
+ private readonly IDictionary<VCExpr/*!*/, VCExprVar/*!*/>/*!*/ Bindings =
+ new Dictionary<VCExpr/*!*/, VCExprVar/*!*/> ();
+
+ private int varNameCounter = 0;
+
+ public VCExpr Flatten(VCExpr expr){
+Contract.Requires(expr != null);
+Contract.Ensures(Contract.Result<VCExpr>() != null);
+ VCExpr/*!*/ res = Mutate(expr, FlattenerState.INITIAL);
+ Contract.Assert(res != null);
+ while (Bindings.Count > 0) {
+ List<VCExprLetBinding/*!*/>/*!*/ letBindings = new List<VCExprLetBinding/*!*/> ();
+ foreach (KeyValuePair<VCExpr/*!*/, VCExprVar/*!*/> pair in Bindings){Contract.Assert(cce.NonNullElements(pair));
+ letBindings.Add(Gen.LetBinding(pair.Value, pair.Key));}
+ Bindings.Clear();
+ res = AddBindings(letBindings, res, FlattenerState.INITIAL);
+ }
+ return res;
+ }
+
+ private VCExprVar GetVarFor(VCExpr expr){
+Contract.Requires(expr != null);
+Contract.Requires((expr.Type.IsBool));
+Contract.Ensures(Contract.Result<VCExprVar>() != null);
+ VCExprVar res;
+ if (!Bindings.TryGetValue(expr, out res)) {
+ string name = "flt" + varNameCounter;
+ varNameCounter = varNameCounter + 1;
+ res = Gen.Variable(name, Type.Bool);
+ Bindings.Add(expr, res);
+ }
+ return cce.NonNull(res);
+ }
+
+ // Remove all let-bindings from the field bindings whose rhs
+ // contains any of the specified variables
+ private List<VCExprLetBinding/*!*/>/*!*/ RemoveBindingsWithVars(List<VCExprVar/*!*/>/*!*/ boundVars, List<TypeVariable/*!*/>/*!*/ boundTypeVars){
+Contract.Requires(cce.NonNullElements(boundTypeVars));
+Contract.Requires(cce.NonNullElements(boundVars));
+Contract.Ensures(cce.NonNullElements(Contract.Result<List<VCExprLetBinding>>()));
+ List<VCExprLetBinding/*!*/>/*!*/ res = new List<VCExprLetBinding/*!*/> ();
+ FreeVariableCollector/*!*/ coll = new FreeVariableCollector ();
+
+ foreach (KeyValuePair<VCExpr, VCExprVar> pair in Bindings) {
+ Contract.Assert(cce.NonNullElements(pair));
+ coll.Collect(pair.Key);
+ if (boundVars.Any(var => coll.FreeTermVars.ContainsKey(var)) ||
+ boundTypeVars.Any(var => coll.FreeTypeVars.Contains(var)))
+ res.Add(Gen.LetBinding(pair.Value, pair.Key));
+ coll.Reset();
+ }
+
+ foreach (VCExprLetBinding b in res){Contract.Assert(b != null);
+ Bindings.Remove(b.E);}
+
+ return res;
+ }
+
+ // Add bindings to a formula using an implication or
+ // conjunction. The bindings themselves will be flattened as well,
+ // which might introduce further bindings
+ private VCExpr AddBindings(List<VCExprLetBinding/*!*/>/*!*/ bindings, VCExpr body, FlattenerState state){
+Contract.Requires(body != null);
+Contract.Requires(cce.NonNullElements(bindings));
+Contract.Requires((body.Type.IsBool));
+Contract.Ensures(Contract.Result<VCExpr>() != null);
+
+ List<VCExprLetBinding/*!*/>/*!*/ mutatedBindings = FlattenBindings(bindings, state);
+ Contract.Assert(mutatedBindings != null);
+ VCExpr/*!*/ bindingEquations = Gen.AsEquations(mutatedBindings);
+ Contract.Assert(bindingEquations != null);
+ switch(state.Polarity) {
+ case 1:
+ return Gen.Implies(bindingEquations, body);
+ case -1:
+ return Gen.And(bindingEquations, body);
+ case 0:
+ // also add explicit quantifiers for the bound variables
+ List<VCExprVar/*!*/>/*!*/ vars = new List<VCExprVar/*!*/> ();
+ foreach (VCExprLetBinding/*!*/ binding in mutatedBindings){Contract.Assert(binding != null);
+ vars.Add(binding.V);}
+ return Gen.Forall(vars, new List<VCTrigger/*!*/>(),
+ Gen.Implies(bindingEquations, body));
+ }
+ Contract.Assert(false); throw new cce.UnreachableException();
+ }
+
+ private List<VCExprLetBinding/*!*/>/*!*/ FlattenBindings(List<VCExprLetBinding/*!*/>/*!*/ bindings, FlattenerState state){
+Contract.Requires(cce.NonNullElements(bindings));
+Contract.Ensures(cce.NonNullElements(Contract.Result<List<VCExprLetBinding>>()));
+ FlattenerState stateInBindings = state.ZeroPolarity;
+ List<VCExprLetBinding/*!*/>/*!*/ mutatedBindings = new List<VCExprLetBinding/*!*/> ();
+ foreach (VCExprLetBinding/*!*/ b in bindings) {
+ Contract.Assert(b != null);
+ mutatedBindings.Add(Gen.LetBinding(b.V, Mutate(b.E, stateInBindings)));
+ }
+ return mutatedBindings;
+ }
+
+ ////////////////////////////////////////////////////////////////////////////
+
+ public override bool AvoidVisit(VCExprNAry node, FlattenerState arg)
+ {
+ return node.Op.Equals(VCExpressionGenerator.AndOp) ||
+ node.Op.Equals(VCExpressionGenerator.OrOp);
+ }
+
+ public override VCExpr Visit(VCExprNAry node, FlattenerState state){
+Contract.Requires(node != null);
+Contract.Ensures(Contract.Result<VCExpr>() != null);
+ // track the polarity to know whether implications or conjunctions
+ // are to be introduced
+
+ if (node.Op.Equals(VCExpressionGenerator.NotOp))
+ return Gen.Not(Mutate(node[0], state.TogglePolarity));
+
+ if (node.Op.Equals(VCExpressionGenerator.ImpliesOp)) {
+ VCExpr newArg0 = Mutate(node[0], state.TogglePolarity);
+ VCExpr newArg1 = Mutate(node[1], state);
+ return Gen.Implies(newArg0, newArg1);
+ }
+
+ if (!node.Type.IsBool)
+ state = state.EnterTerm;
+
+ if (!node.Op.Equals(VCExpressionGenerator.AndOp) &&
+ !node.Op.Equals(VCExpressionGenerator.OrOp) &&
+ !(node.Op is VCExprLabelOp))
+ // standard is to set the polarity to 0 (fits most operators)
+ return base.Visit(node, state.ZeroPolarity);
+
+ return base.Visit(node, state);
+ }
+
+ public override VCExpr Visit(VCExprQuantifier node, FlattenerState state){
+Contract.Requires(node != null);
+Contract.Ensures(Contract.Result<VCExpr>() != null);
+ if (state.InTerm)
+ return GetVarFor(node);
+
+ // we only flatten within the matrix of the quantified formula,
+ // not within the triggers (since SMT-solvers do not seem to
+ // appreciate triggers with let-binders)
+ VCExpr newBody = Mutate(node.Body, state);
+
+ // Check whether any of the extracted terms contain variables
+ // bound by this quantifier. In this case, we have to add
+ // let-binders and remove the extracted terms
+ bool cont = true;
+ while (cont) {
+ List<VCExprLetBinding/*!*/>/*!*/ localBindings =
+ RemoveBindingsWithVars(node.BoundVars, node.TypeParameters);
+ Contract.Assert(cce.NonNullElements(localBindings));
+ if (localBindings.Count > 0)
+ newBody = AddBindings(localBindings, newBody, state);
+ else
+ cont = false;
+ }
+
+ return Gen.Quantify(node.Quan, node.TypeParameters, node.BoundVars, node.Triggers, node.Infos, newBody);
+ }
+
+ public override VCExpr Visit(VCExprLet node, FlattenerState state){
+Contract.Requires(node != null);
+Contract.Ensures(Contract.Result<VCExpr>() != null);
+ if (state.InTerm)
+ return GetVarFor(node);
+
+ VCExprLet prelimRes = (VCExprLet)cce.NonNull(base.Visit(node, state));
+
+ List<VCExprLetBinding/*!*/>/*!*/ allBindings = new List<VCExprLetBinding/*!*/> ();
+ allBindings.AddRange(prelimRes);
+
+ // Check whether any of the extracted terms contain variables
+ // bound by this binder. In this case, we have to add
+ // let-binders and remove the extracted terms
+ bool cont = true;
+ while (cont) {
+ List<VCExprLetBinding/*!*/>/*!*/ localBindings =
+ RemoveBindingsWithVars(prelimRes.BoundVars, new List<TypeVariable/*!*/>());
+ if (localBindings.Count > 0)
+ allBindings.AddRange(FlattenBindings(localBindings, state));
+ else
+ cont = false;
+ }
+
+ return Gen.Let(allBindings, prelimRes.Body);
+ }
+
+ }
+
} \ No newline at end of file