private ParsingResult parseAFPathOperator(InternalNode afOperator, int lastTimeIndex, int intervalDuration)
{
string operatorString = afOperator.getExpression();
int myTimeIndex = lastTimeIndex + 1;
bool isBounded = operatorString.Contains("<");
string result = "";
string quantifiedVariable = myTimeIndex < 1 ? "time" : string.Format("t{0}", myTimeIndex);
string lowerBoundTimeVariable = "";
if (myTimeIndex == 1)
{
lowerBoundTimeVariable = "time";
}
if (myTimeIndex > 1)
{
lowerBoundTimeVariable = string.Format("t{0}", myTimeIndex - 1);
}
List <string> afExpressions = new List <string>();
string innerExpression = parseNode(afOperator.getRightHandSide(), myTimeIndex, intervalDuration).SmtExpression;
string lowerBound = "";
if (myTimeIndex > 0)
{
lowerBound = SMTConstructsInstantiator.instantiateBinaryOperator(">", quantifiedVariable, lowerBoundTimeVariable);
}
/*afExpressions[afExpressions.Length] = innerExpression;
* afExpressions[afExpressions.Length] = lowerBound;
*/
afExpressions.Add(innerExpression);
afExpressions.Add(lowerBound);
if (isBounded)
{
string upperBound = SMTConstructsInstantiator.instantiateBinaryOperator("<", quantifiedVariable, SMTConstructsInstantiator.instantiateBinaryOperator("+",
lowerBoundTimeVariable,
extractUpperBound(operatorString).ToString()));
afExpressions.Add(upperBound);
//afExpressions[afExpressions.Length] = upperBound;
}
result = SMTConstructsInstantiator.instantiateQuantifier("exists", SMTConstructsInstantiator.instantiateUnaryOperator(quantifiedVariable, "Real"),
SMTConstructsInstantiator.instantiateNaryOperator("and", afExpressions.ToArray()));
return(new ParsingResult(result, intervalDuration));
}
private ParsingResult parseBinaryOperator(InternalNode _operator, int timeIndex, int intervalDuration)
{
string operatorString = _operator.getExpression();
ParsingResult leftSide = parseNode(_operator.getLeftHandSide(), timeIndex, intervalDuration);
/*only in a case of implication the interval duration is transferred to the right-hand size, otherwise not*/
if (operatorString.Equals("=>") && leftSide.IntervalDuration > intervalDuration)
{
intervalDuration = leftSide.IntervalDuration;
}
ParsingResult rightSide = parseNode(_operator.getRightHandSide(), timeIndex, leftSide.IntervalDuration);
operatorString = PropositionParser.trnasformOperatorToSMTLIB(operatorString);
string expression = SMTConstructsInstantiator.instantiateBinaryOperator(operatorString, leftSide.SmtExpression,
rightSide.SmtExpression);
return(new ParsingResult(expression));
}
private ParsingResult parseUPathOperator(InternalNode uOperator, int timeIndex, int intervalDuration)
{
string operatorString = uOperator.getExpression().Trim();
bool isBounded = operatorString.Contains("<");
string result = "";
/* Unitl operator encoded as SMT-LIB assertion
* AG(p -> A(q U r))
* (exists ((t1 Real)) (and (> t1 t) (< t1 (+ t k))
* (r t1)
* (not (exists ((t2 Real)) (and (>= t2 t) (< t2 t1) (not (q t2)))))))
*/
string baseTimeVariable = timeIndex <= 0 ? "time" : string.Format("t{0}", timeIndex);
string outerQuantifiedTimeVariable = string.Format("t{0}", (timeIndex) + 1);
string innerQuantifiedTimeVariable = string.Format("t{0}", (timeIndex) + 2);
string outerQLowerBound = SMTConstructsInstantiator.instantiateBinaryOperator(">", outerQuantifiedTimeVariable, intervalDuration <= 0 ? baseTimeVariable :
SMTConstructsInstantiator.instantiateBinaryOperator("+",
baseTimeVariable,
intervalDuration.ToString()));
string outerQUpperBound = "";
if (isBounded)
{
outerQUpperBound = SMTConstructsInstantiator.instantiateBinaryOperator("<",
outerQuantifiedTimeVariable,
SMTConstructsInstantiator.instantiateBinaryOperator("+",
intervalDuration <= 0 ? baseTimeVariable :
SMTConstructsInstantiator
.instantiateBinaryOperator("+", baseTimeVariable,
intervalDuration.ToString()),
extractUpperBound(operatorString).ToString()));
}
string innerQLowerBound = SMTConstructsInstantiator.instantiateBinaryOperator(">", innerQuantifiedTimeVariable,
intervalDuration <= 0 ? baseTimeVariable :
SMTConstructsInstantiator.instantiateBinaryOperator("+",
baseTimeVariable,
intervalDuration.ToString()));
string innerQUpperBound = SMTConstructsInstantiator.instantiateBinaryOperator("<", innerQuantifiedTimeVariable, outerQuantifiedTimeVariable);
//string[] innerExistsExpressions = new string[] { };
List <string> innerExistsExpressions = new List <string>();
string innerExpression = SMTConstructsInstantiator.instantiateUnaryOperator("not",
parseNode(uOperator.getLeftHandSide(), timeIndex + 2, 0).SmtExpression);
innerExistsExpressions.Add(innerExpression);
innerExistsExpressions.Add(innerQLowerBound);
innerExistsExpressions.Add(innerQUpperBound);
string innerExsists = SMTConstructsInstantiator.instantiateUnaryOperator("not",
SMTConstructsInstantiator.instantiateQuantifier("exists",
SMTConstructsInstantiator.instantiateUnaryOperator(innerQuantifiedTimeVariable, "Real"),
SMTConstructsInstantiator.instantiateNaryOperator("and", innerExistsExpressions.ToArray())));
//string[] outerExistsExpressions = new string[] { };
List <string> outerExistsExpressions = new List <string>();
/*outerExistsExpressions[outerExistsExpressions.Length] = innerExsists;
* outerExistsExpressions[outerExistsExpressions.Length] = outerQLowerBound;*/
outerExistsExpressions.Add(innerExsists);
Node rhsNode = uOperator.getRightHandSide();
string rightHandSide = parseNode(uOperator.getRightHandSide(), timeIndex + 1, 0).SmtExpression;
outerExistsExpressions.Add(rightHandSide);
outerExistsExpressions.Add(outerQLowerBound);
outerExistsExpressions.Add(outerQUpperBound);
result = SMTConstructsInstantiator.instantiateQuantifier("exists",
SMTConstructsInstantiator.instantiateUnaryOperator(outerQuantifiedTimeVariable, "Real"),
SMTConstructsInstantiator.instantiateNaryOperator("and", outerExistsExpressions.ToArray())
);
if (timeIndex < 0)
{
result = SMTConstructsInstantiator.instantiateQuantifier("forall", SMTConstructsInstantiator.instantiateUnaryOperator("time", "Real"), result);
}
return(new ParsingResult(result));
}
private ParsingResult parseAGPathOperator(InternalNode agOperator, int lastUsedTimeIndex, int intervalDuration)
{
string operatorString = agOperator.getExpression();
int myTimeIndex = lastUsedTimeIndex + 1;
string result = "";
bool isBounded = operatorString.Contains("<");
string quantifiedVariable = myTimeIndex <= 0 ? "time" : string.Format("t{0}", myTimeIndex);
/*special case only for the outmost AG (if any)*/
if (myTimeIndex < 1 && !isBounded)
{
ParsingResult innerParsingResult = parseNode(agOperator.getRightHandSide(), myTimeIndex, intervalDuration);
intervalDuration = innerParsingResult.IntervalDuration;
result = SMTConstructsInstantiator
.instantiateQuantifier("forall",
SMTConstructsInstantiator.instantiateUnaryOperator(quantifiedVariable, "Real"), innerParsingResult.SmtExpression);
}
else
{
ParsingResult innerExpressionParsingResult = parseNode(agOperator.getRightHandSide(), myTimeIndex, intervalDuration);
string inmostExpression = innerExpressionParsingResult.SmtExpression;
intervalDuration = innerExpressionParsingResult.IntervalDuration;
string negation = SMTConstructsInstantiator.instantiateUnaryOperator("not", inmostExpression);
if (isBounded)
{
if (intervalDuration == 0)
{
intervalDuration = extractUpperBound(operatorString);
}
List <string> agExpressions = new List <string>();
string lowerBoundVariable = "";
if (myTimeIndex <= 1)
{
lowerBoundVariable = "time";
}
if (myTimeIndex > 1)
{
lowerBoundVariable = string.Format("t{0}", lastUsedTimeIndex);
}
string upperBound = SMTConstructsInstantiator.instantiateBinaryOperator("<",
quantifiedVariable,
SMTConstructsInstantiator.instantiateBinaryOperator("+",
lowerBoundVariable,
extractUpperBound(operatorString).ToString()));
string lowerBound = SMTConstructsInstantiator.instantiateBinaryOperator(">", quantifiedVariable, lowerBoundVariable);
agExpressions.Add(lowerBound);
agExpressions.Add(upperBound);
agExpressions.Add(negation);
result = SMTConstructsInstantiator.instantiateUnaryOperator("not",
SMTConstructsInstantiator.instantiateQuantifier("exists", SMTConstructsInstantiator.instantiateUnaryOperator(quantifiedVariable, "Real"),
SMTConstructsInstantiator.instantiateNaryOperator("and", agExpressions.ToArray())
)
);
//lowerBound, upperBound, newTimeIndex, negation));
/*SMTConstructsInstantiator.instantiateUnaryOperator("not",
* SMTConstructsInstantiator.instantiateBoundedQuantifier("exists", lowerBound, upperBound, newTimeIndex, negation));*/
}
else
{
if (intervalDuration <= 0 && innerExpressionParsingResult.IntervalDuration > 0)
{
intervalDuration = 0;
}
result = SMTConstructsInstantiator.instantiateUnaryOperator("not",
SMTConstructsInstantiator.instantiateQuantifier("exists", SMTConstructsInstantiator.instantiateUnaryOperator(quantifiedVariable, "Real"), negation));
//SMTConstructsInstantiator.instantiateUnboundedQuantifier("exists", newTimeIndex, negation));
}
}
return(new ParsingResult(result, intervalDuration));
}