/// <summary> /// Create a new variable which know whether event is tick or not /// Later all event information is removed from the transition /// Return the justice based on that new varaible /// justice: event = tick, event != tick /// </summary> /// <param name="modelBDD"></param> /// <param name="model"></param> /// <returns></returns> public List<CUDDNode> GetJustices(AutomataBDD modelBDD, Model model) { model.AddLocalVar(EVENT_DUMMY, 0, 1); //Because later event variables are removed, add new variable to check whether it is tick or not Expression guard = Expression.OR( Expression.AND( TimeBehaviors.GetTickTransExpression(), new Assignment(EVENT_DUMMY, new IntConstant(1))), Expression.AND( TimeBehaviors.GetNotTickTransExpression(), new Assignment(EVENT_DUMMY, new IntConstant(0)))); modelBDD.transitionBDD = CUDD.Function.And(modelBDD.transitionBDD, guard.TranslateBoolExpToBDD(model).GuardDDs); //the cycle must contain tick transition (zeno) and other transitions (progress) List<CUDDNode> justices = new List<CUDDNode>(); guard = Expression.EQ(new Variable(EVENT_DUMMY), new IntConstant(0)); justices.Add(CUDD.Function.Or(guard.TranslateBoolExpToBDD(model).GuardDDs)); guard = Expression.EQ(new Variable(EVENT_DUMMY), new IntConstant(1)); justices.Add(CUDD.Function.Or(guard.TranslateBoolExpToBDD(model).GuardDDs)); return justices; }
/// <summary> /// P.var : P1.var ∪ {temp} /// </summary> private static void EventPrefixSetVariable(AutomataBDD P1, Model model, AutomataBDD result) { result.variableIndex.AddRange(P1.variableIndex); result.newLocalVarName = Model.GetNewTempVarName(); model.AddLocalVar(result.newLocalVarName, 0, 1); result.variableIndex.Add(model.GetNumberOfVars() - 1); }
/// <summary> /// P.var : P1.var /// </summary> private static void GuardSetVariable(AutomataBDD P1, Model model, AutomataBDD result) { result.variableIndex.AddRange(P1.variableIndex); result.newLocalVarName = Model.GetNewTempVarName(); model.AddLocalVar(result.newLocalVarName, 0, 1); result.variableIndex.Add(model.GetNumberOfVars() - 1); }
/// <summary> /// P.var : [∪ {i = 1..n}Pi.var] ∪ {temp} /// </summary> private static void InternalChoiceSetVariable(List <AutomataBDD> choices, Model model, AutomataBDD result) { foreach (AutomataBDD choice in choices) { result.variableIndex.AddRange(choice.variableIndex); } result.newLocalVarName = Model.GetNewTempVarName(); model.AddLocalVar(result.newLocalVarName, -1, choices.Count - 1); result.variableIndex.Add(model.GetNumberOfVars() - 1); }
private static void ChannelInputSetVariable(List<Expression> exps, AutomataBDD P1, Model model, AutomataBDD result) { //Add new variable used in channel input foreach (var expression in exps) { if (!(expression is IntConstant) && !model.ContainsVar(expression.ExpressionID)) { model.AddLocalVar(expression.ExpressionID, Model.MIN_ELEMENT_BUFFER, Model.MAX_ELEMENT_BUFFER); result.variableIndex.Add(model.GetNumberOfVars() - 1); } } EventPrefixSetVariable(P1, model, result); }
private static void ChannelInputSetVariable(List <Expression> exps, AutomataBDD P1, Model model, AutomataBDD result) { //Add new variable used in channel input foreach (var expression in exps) { if (!(expression is IntConstant) && !model.ContainsVar(expression.ExpressionID)) { model.AddLocalVar(expression.ExpressionID, Model.MIN_ELEMENT_BUFFER, Model.MAX_ELEMENT_BUFFER); result.variableIndex.Add(model.GetNumberOfVars() - 1); } } EventPrefixSetVariable(P1, model, result); }
/// <summary> /// P.var : P1.var ∪ P2.var ∪{isP1Terminate} /// </summary> public static List <string> SequenceSetVariable(AutomataBDD P1, AutomataBDD P2, Model model, AutomataBDD result) { // result.variableIndex.AddRange(P1.variableIndex); result.variableIndex.AddRange(P2.variableIndex); string isP1Terminate = Model.GetNewTempVarName(); model.AddLocalVar(isP1Terminate, 0, 1); result.variableIndex.Add(model.GetNumberOfVars() - 1); return(new List <string>() { isP1Terminate }); }
/// <summary> /// Create a new local variable /// </summary> public override ExpressionBDDEncoding TranslateStatementToBDD(ExpressionBDDEncoding resultBefore, Model model) { //Create new local variable if not exists if (!model.ContainsVar(this.Variable)) { model.AddLocalVar(this.Variable, Model.BDD_INT_LOWER_BOUND, Model.BDD_INT_UPPER_BOUND); } //If there is an initialization then do it based on the resultBefore if (this.RightHandExpression == null) { return resultBefore; } else { return (new Assignment(this.Variable, RightHandExpression)).TranslateStatementToBDD(resultBefore, model); } }
/// <summary> /// General algorithm of the intersection of 2 automata /// Follow the algorithm in Linear Temporal Logic Symbolic Model Checking at http://ti.arc.nasa.gov/m/profile/kyrozier/papers/COSREV_62.pdf page 23 /// [ REFS: 'result', DEREFS:'automata1, automata2' ] /// </summary> /// <param name="automata1"></param> /// <param name="automata2"></param> /// <param name="model"></param> /// <returns></returns> public static AutomataBDD IntersectionGeneralAutomata(AutomataBDD automata1, AutomataBDD automata2, Model model) { //AddIdleTransAtDeadlockStates(automata1, model); AutomataBDD result = new AutomataBDD(); string newVarName = Model.GetNewTempVarName(); //Set var result.variableIndex.AddRange(automata1.variableIndex); result.variableIndex.AddRange(automata2.variableIndex); model.AddLocalVar(newVarName, 0, 1); result.variableIndex.Add(model.GetNumberOfVars() - 1); //Set Init Expression initTemp = Expression.AND(automata1.initExpression, automata2.initExpression); Expression initValueOfT = Expression.EQ(new Variable(newVarName), new IntConstant(0)); result.initExpression = Expression.AND(initTemp, initValueOfT); //Set Acceptance State result.acceptanceExpression = Expression.AND(automata1.acceptanceExpression, initValueOfT); //Set Transition //(temp = 0 and automata1.accept) or (temp = 1 and buchi.accept) Expression guard = Expression.OR( Expression.AND( new PrimitiveApplication( PrimitiveApplication.EQUAL, new Variable(newVarName), new IntConstant(0)), automata1.acceptanceExpression), Expression.AND( new PrimitiveApplication( PrimitiveApplication.EQUAL, new Variable(newVarName), new IntConstant(1)), automata2.acceptanceExpression)); //guard and (temp' = 1 - temp) Expression transition1Exp = Expression.AND(guard, new Assignment(newVarName, new PrimitiveApplication( PrimitiveApplication.MINUS, new IntConstant(1), new Variable(newVarName)))); List <CUDDNode> transition1 = transition1Exp.TranslateBoolExpToBDD(model).GuardDDs; //!guard and (temp' = temp) Expression transition2Exp = Expression.AND( Expression.NOT(guard), new Assignment(newVarName, new Variable(newVarName))); List <CUDDNode> transition2 = transition2Exp.TranslateBoolExpToBDD(model).GuardDDs; //transition must happen at both automata1 + negation LTL List <CUDDNode> bothTransition = CUDD.Function.And(automata1.transitionBDD, automata2.transitionBDD); CUDD.Ref(bothTransition); transition1 = CUDD.Function.And(transition1, bothTransition); result.transitionBDD.AddRange(transition1); transition2 = CUDD.Function.And(transition2, bothTransition); result.transitionBDD.AddRange(transition2); // CUDD.Deref(automata1.channelInTransitionBDD, automata1.channelOutTransitionBDD, automata2.channelInTransitionBDD, automata2.channelOutTransitionBDD); return(result); }
/// <summary> /// P.var : m0 ∪ m1 ∪ {clk} /// </summary> private static List<string> TimeInterruptSetVariable(AutomataBDD m0, AutomataBDD m1, int t, Model model, AutomataBDD result) { result.variableIndex.AddRange(m0.variableIndex); result.variableIndex.AddRange(m1.variableIndex); // string clk = Model.GetNewTempVarName(); model.AddLocalVar(clk, -1, t + 1); result.variableIndex.Add(model.GetNumberOfVars() - 1); return new List<string>() { clk }; }
/// <summary> /// P.var = {temp} /// </summary> private static void SkipSetVariable(Model model, AutomataBDD result) { result.newLocalVarName = Model.GetNewTempVarName(); model.AddLocalVar(result.newLocalVarName, 0, 1); result.variableIndex.Add(model.GetNumberOfVars() - 1); }
/// <summary> /// General algorithm of the intersection of 2 automata /// Follow the algorithm in Linear Temporal Logic Symbolic Model Checking at http://ti.arc.nasa.gov/m/profile/kyrozier/papers/COSREV_62.pdf page 23 /// [ REFS: 'result', DEREFS:'automata1, automata2' ] /// </summary> /// <param name="automata1"></param> /// <param name="automata2"></param> /// <param name="model"></param> /// <returns></returns> public static AutomataBDD IntersectionGeneralAutomata(AutomataBDD automata1, AutomataBDD automata2, Model model) { //AddIdleTransAtDeadlockStates(automata1, model); AutomataBDD result = new AutomataBDD(); string newVarName = Model.GetNewTempVarName(); //Set var result.variableIndex.AddRange(automata1.variableIndex); result.variableIndex.AddRange(automata2.variableIndex); model.AddLocalVar(newVarName, 0, 1); result.variableIndex.Add(model.GetNumberOfVars() - 1); //Set Init Expression initTemp = Expression.AND(automata1.initExpression, automata2.initExpression); Expression initValueOfT = Expression.EQ(new Variable(newVarName), new IntConstant(0)); result.initExpression = Expression.AND(initTemp, initValueOfT); //Set Acceptance State result.acceptanceExpression = Expression.AND(automata1.acceptanceExpression, initValueOfT); //Set Transition //(temp = 0 and automata1.accept) or (temp = 1 and buchi.accept) Expression guard = Expression.OR( Expression.AND( new PrimitiveApplication( PrimitiveApplication.EQUAL, new Variable(newVarName), new IntConstant(0)), automata1.acceptanceExpression), Expression.AND( new PrimitiveApplication( PrimitiveApplication.EQUAL, new Variable(newVarName), new IntConstant(1)), automata2.acceptanceExpression)); //guard and (temp' = 1 - temp) Expression transition1Exp = Expression.AND(guard, new Assignment(newVarName, new PrimitiveApplication( PrimitiveApplication.MINUS, new IntConstant(1), new Variable(newVarName)))); List<CUDDNode> transition1 = transition1Exp.TranslateBoolExpToBDD(model).GuardDDs; //!guard and (temp' = temp) Expression transition2Exp = Expression.AND( Expression.NOT(guard), new Assignment(newVarName, new Variable(newVarName))); List<CUDDNode> transition2 = transition2Exp.TranslateBoolExpToBDD(model).GuardDDs; //transition must happen at both automata1 + negation LTL List<CUDDNode> bothTransition = CUDD.Function.And(automata1.transitionBDD, automata2.transitionBDD); CUDD.Ref(bothTransition); transition1 = CUDD.Function.And(transition1, bothTransition); result.transitionBDD.AddRange(transition1); transition2 = CUDD.Function.And(transition2, bothTransition); result.transitionBDD.AddRange(transition2); // CUDD.Deref(automata1.channelInTransitionBDD, automata1.channelOutTransitionBDD, automata2.channelInTransitionBDD, automata2.channelOutTransitionBDD); return result; }
/// <summary> /// P.var : P1.var ∪ P2.var ∪{isP1Terminate} /// </summary> public static List<string> SequenceSetVariable(AutomataBDD P1, AutomataBDD P2, Model model, AutomataBDD result) { // result.variableIndex.AddRange(P1.variableIndex); result.variableIndex.AddRange(P2.variableIndex); string isP1Terminate = Model.GetNewTempVarName(); model.AddLocalVar(isP1Terminate, 0, 1); result.variableIndex.Add(model.GetNumberOfVars() - 1); return new List<string>() { isP1Terminate }; }
/// <summary> /// P.var : [∪ {i = 1..n}Pi.var] ∪ {temp} /// </summary> private static void ExternalChoiceSetVariable(List<AutomataBDD> choices, Model model, AutomataBDD result) { foreach (AutomataBDD choice in choices) { result.variableIndex.AddRange(choice.variableIndex); } result.newLocalVarName = Model.GetNewTempVarName(); model.AddLocalVar(result.newLocalVarName, -1, choices.Count - 1); result.variableIndex.Add(model.GetNumberOfVars() - 1); }
/// <summary> /// P.var : 0 <= state <= t + 1 /// </summary> /// <param name="t"></param> /// <param name="model"></param> /// <param name="result"></param> /// <returns></returns> private static List<string> WaitSetVariable(int t, Model model, AutomataBDD result) { string state = Model.GetNewTempVarName(); model.AddLocalVar(state, 0, t + 1); result.variableIndex.Add(model.GetNumberOfVars() - 1); return new List<string>() { state }; }