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Clean up assumption checker

tempestpy_adaptions
Jip Spel 6 years ago
parent
commit
3ebd5f0bf6
  1. 147
      src/storm-pars/analysis/AssumptionChecker.cpp
  2. 39
      src/storm-pars/analysis/AssumptionChecker.h

147
src/storm-pars/analysis/AssumptionChecker.cpp

@ -23,39 +23,37 @@
namespace storm {
namespace analysis {
template <typename ValueType>
AssumptionChecker<ValueType>::AssumptionChecker(std::shared_ptr<storm::logic::Formula const> formula, std::shared_ptr<storm::models::sparse::Dtmc<ValueType>> model, uint_fast64_t numberOfSamples) {
AssumptionChecker<ValueType>::AssumptionChecker(std::shared_ptr<logic::Formula const> formula, std::shared_ptr<models::sparse::Dtmc<ValueType>> model, uint_fast64_t numberOfSamples) {
this->formula = formula;
this->matrix = model->getTransitionMatrix();
// Create sample points
auto instantiator = storm::utility::ModelInstantiator<storm::models::sparse::Dtmc<ValueType>, storm::models::sparse::Dtmc<double>>(*model);
auto instantiator = utility::ModelInstantiator<models::sparse::Dtmc<ValueType>, models::sparse::Dtmc<double>>(*model);
auto matrix = model->getTransitionMatrix();
std::set<storm::RationalFunctionVariable> variables = storm::models::sparse::getProbabilityParameters(*model);
std::set<typename utility::parametric::VariableType<ValueType>::type> variables = models::sparse::getProbabilityParameters(*model);
// TODO: sampling part also done in MonotonicityChecker, would be better to use this one instead of creating it again
for (auto i = 0; i < numberOfSamples; ++i) {
auto valuation = storm::utility::parametric::Valuation<ValueType>();
auto valuation = utility::parametric::Valuation<ValueType>();
for (auto itr = variables.begin(); itr != variables.end(); ++itr) {
// TODO: Type
// Creates samples between 0 and 1, 1/(#samples+2), 2/(#samples+2), ..., (#samples+1)/(#samples+2)
auto val = std::pair<storm::RationalFunctionVariable, storm::RationalFunctionCoefficient>((*itr), storm::utility::convertNumber<storm::RationalFunctionCoefficient>(boost::lexical_cast<std::string>((i+1)/(double (numberOfSamples + 2)))));
auto val = std::pair<typename utility::parametric::VariableType<ValueType>::type, typename utility::parametric::CoefficientType<ValueType>::type>((*itr), utility::convertNumber<typename utility::parametric::CoefficientType<ValueType>::type>(boost::lexical_cast<std::string>((i+1)/(double (numberOfSamples + 2)))));
valuation.insert(val);
}
storm::models::sparse::Dtmc<double> sampleModel = instantiator.instantiate(valuation);
auto checker = storm::modelchecker::SparseDtmcPrctlModelChecker<storm::models::sparse::Dtmc<double>>(sampleModel);
std::unique_ptr<storm::modelchecker::CheckResult> checkResult;
models::sparse::Dtmc<double> sampleModel = instantiator.instantiate(valuation);
auto checker = modelchecker::SparseDtmcPrctlModelChecker<models::sparse::Dtmc<double>>(sampleModel);
std::unique_ptr<modelchecker::CheckResult> checkResult;
if (formula->isProbabilityOperatorFormula() &&
formula->asProbabilityOperatorFormula().getSubformula().isUntilFormula()) {
const storm::modelchecker::CheckTask<storm::logic::UntilFormula, double> checkTask = storm::modelchecker::CheckTask<storm::logic::UntilFormula, double>(
const modelchecker::CheckTask<logic::UntilFormula, double> checkTask = modelchecker::CheckTask<logic::UntilFormula, double>(
(*formula).asProbabilityOperatorFormula().getSubformula().asUntilFormula());
checkResult = checker.computeUntilProbabilities(Environment(), checkTask);
} else if (formula->isProbabilityOperatorFormula() &&
formula->asProbabilityOperatorFormula().getSubformula().isEventuallyFormula()) {
const storm::modelchecker::CheckTask<storm::logic::EventuallyFormula, double> checkTask = storm::modelchecker::CheckTask<storm::logic::EventuallyFormula, double>(
const modelchecker::CheckTask<logic::EventuallyFormula, double> checkTask = modelchecker::CheckTask<logic::EventuallyFormula, double>(
(*formula).asProbabilityOperatorFormula().getSubformula().asEventuallyFormula());
checkResult = checker.computeReachabilityProbabilities(Environment(), checkTask);
} else {
STORM_LOG_THROW(false, storm::exceptions::NotSupportedException,
STORM_LOG_THROW(false, exceptions::NotSupportedException,
"Expecting until or eventually formula");
}
auto quantitativeResult = checkResult->asExplicitQuantitativeCheckResult<double>();
@ -65,38 +63,37 @@ namespace storm {
}
template <typename ValueType>
AssumptionChecker<ValueType>::AssumptionChecker(std::shared_ptr<storm::logic::Formula const> formula, std::shared_ptr<storm::models::sparse::Mdp<ValueType>> model, uint_fast64_t numberOfSamples) {
AssumptionChecker<ValueType>::AssumptionChecker(std::shared_ptr<logic::Formula const> formula, std::shared_ptr<models::sparse::Mdp<ValueType>> model, uint_fast64_t numberOfSamples) {
this->formula = formula;
this->matrix = model->getTransitionMatrix();
// Create sample points
auto instantiator = storm::utility::ModelInstantiator<storm::models::sparse::Mdp<ValueType>, storm::models::sparse::Mdp<double>>(*model);
auto instantiator = utility::ModelInstantiator<models::sparse::Mdp<ValueType>, models::sparse::Mdp<double>>(*model);
auto matrix = model->getTransitionMatrix();
std::set<storm::RationalFunctionVariable> variables = storm::models::sparse::getProbabilityParameters(*model);
std::set<typename utility::parametric::VariableType<ValueType>::type> variables = models::sparse::getProbabilityParameters(*model);
// TODO: sampling part also done in MonotonicityChecker, would be better to use this one instead of creating it again
for (auto i = 0; i < numberOfSamples; ++i) {
auto valuation = storm::utility::parametric::Valuation<ValueType>();
auto valuation = utility::parametric::Valuation<ValueType>();
for (auto itr = variables.begin(); itr != variables.end(); ++itr) {
// TODO: Type
auto val = std::pair<storm::RationalFunctionVariable, storm::RationalFunctionCoefficient>((*itr), storm::utility::convertNumber<storm::RationalFunctionCoefficient>(boost::lexical_cast<std::string>((i+1)/(double (numberOfSamples + 1)))));
auto val = std::pair<typename utility::parametric::VariableType<ValueType>::type,
typename utility::parametric::CoefficientType<ValueType>::type>((*itr), utility::convertNumber<typename utility::parametric::CoefficientType<ValueType>::type>(boost::lexical_cast<std::string>((i+1)/(double (numberOfSamples + 1)))));
valuation.insert(val);
}
storm::models::sparse::Mdp<double> sampleModel = instantiator.instantiate(valuation);
auto checker = storm::modelchecker::SparseMdpPrctlModelChecker<storm::models::sparse::Mdp<double>>(sampleModel);
std::unique_ptr<storm::modelchecker::CheckResult> checkResult;
models::sparse::Mdp<double> sampleModel = instantiator.instantiate(valuation);
auto checker = modelchecker::SparseMdpPrctlModelChecker<models::sparse::Mdp<double>>(sampleModel);
std::unique_ptr<modelchecker::CheckResult> checkResult;
if (formula->isProbabilityOperatorFormula() &&
formula->asProbabilityOperatorFormula().getSubformula().isUntilFormula()) {
const storm::modelchecker::CheckTask<storm::logic::UntilFormula, double> checkTask = storm::modelchecker::CheckTask<storm::logic::UntilFormula, double>(
const modelchecker::CheckTask<logic::UntilFormula, double> checkTask = modelchecker::CheckTask<logic::UntilFormula, double>(
(*formula).asProbabilityOperatorFormula().getSubformula().asUntilFormula());
checkResult = checker.computeUntilProbabilities(Environment(), checkTask);
} else if (formula->isProbabilityOperatorFormula() &&
formula->asProbabilityOperatorFormula().getSubformula().isEventuallyFormula()) {
const storm::modelchecker::CheckTask<storm::logic::EventuallyFormula, double> checkTask = storm::modelchecker::CheckTask<storm::logic::EventuallyFormula, double>(
const modelchecker::CheckTask<logic::EventuallyFormula, double> checkTask = modelchecker::CheckTask<logic::EventuallyFormula, double>(
(*formula).asProbabilityOperatorFormula().getSubformula().asEventuallyFormula());
checkResult = checker.computeReachabilityProbabilities(Environment(), checkTask);
} else {
STORM_LOG_THROW(false, storm::exceptions::NotSupportedException,
STORM_LOG_THROW(false, exceptions::NotSupportedException,
"Expecting until or eventually formula");
}
auto quantitativeResult = checkResult->asExplicitQuantitativeCheckResult<double>();
@ -106,16 +103,16 @@ namespace storm {
}
template <typename ValueType>
AssumptionStatus AssumptionChecker<ValueType>::checkOnSamples(std::shared_ptr<storm::expressions::BinaryRelationExpression> assumption) {
AssumptionStatus AssumptionChecker<ValueType>::checkOnSamples(std::shared_ptr<expressions::BinaryRelationExpression> assumption) {
auto result = AssumptionStatus::UNKNOWN;
std::set<storm::expressions::Variable> vars = std::set<storm::expressions::Variable>({});
std::set<expressions::Variable> vars = std::set<expressions::Variable>({});
assumption->gatherVariables(vars);
for (auto itr = samples.begin(); result == AssumptionStatus::UNKNOWN && itr != samples.end(); ++itr) {
std::shared_ptr<storm::expressions::ExpressionManager const> manager = assumption->getManager().getSharedPointer();
auto valuation = storm::expressions::SimpleValuation(manager);
std::shared_ptr<expressions::ExpressionManager const> manager = assumption->getManager().getSharedPointer();
auto valuation = expressions::SimpleValuation(manager);
auto values = (*itr);
for (auto var = vars.begin(); result == AssumptionStatus::UNKNOWN && var != vars.end(); ++var) {
storm::expressions::Variable par = *var;
expressions::Variable par = *var;
auto index = std::stoi(par.getName());
valuation.setRationalValue(par, values[index]);
}
@ -128,22 +125,22 @@ namespace storm {
}
template <typename ValueType>
AssumptionStatus AssumptionChecker<ValueType>::validateAssumption(std::shared_ptr<storm::expressions::BinaryRelationExpression> assumption, storm::analysis::Lattice* lattice) {
AssumptionStatus AssumptionChecker<ValueType>::validateAssumption(std::shared_ptr<expressions::BinaryRelationExpression> assumption, Lattice* lattice) {
// First check if based on sample points the assumption can be discharged
auto result = checkOnSamples(assumption);
assert (result != storm::analysis::AssumptionStatus::VALID);
assert (result != AssumptionStatus::VALID);
if (result == storm::analysis::AssumptionStatus::UNKNOWN) {
if (result == AssumptionStatus::UNKNOWN) {
// If result from sample checking was unknown, the assumption might hold, so we continue,
// otherwise we return INVALID
std::set<storm::expressions::Variable> vars = std::set<storm::expressions::Variable>({});
std::set<expressions::Variable> vars = std::set<expressions::Variable>({});
assumption->gatherVariables(vars);
STORM_LOG_THROW(assumption->getRelationType() ==
storm::expressions::BinaryRelationExpression::RelationType::Greater ||
expressions::BinaryRelationExpression::RelationType::Greater ||
assumption->getRelationType() ==
storm::expressions::BinaryRelationExpression::RelationType::Equal,
storm::exceptions::NotSupportedException,
expressions::BinaryRelationExpression::RelationType::Equal,
exceptions::NotSupportedException,
"Only Greater Or Equal assumptions supported");
// Row with successors of the first state
@ -168,13 +165,13 @@ namespace storm {
}
if (state1succ1->getColumn() == state2succ1->getColumn() && state1succ2->getColumn() == state2succ2->getColumn()) {
if (assumption->getRelationType() == storm::expressions::BinaryRelationExpression::RelationType::Greater
&& lattice->compare(state1succ1->getColumn(), state1succ2->getColumn()) != storm::analysis::Lattice::UNKNOWN) {
if (assumption->getRelationType() == expressions::BinaryRelationExpression::RelationType::Greater
&& lattice->compare(state1succ1->getColumn(), state1succ2->getColumn()) != Lattice::UNKNOWN) {
// The assumption should be the greater assumption
// If the result is unknown, we cannot compare, also SMTSolver will not help
result = validateAssumptionFunction(lattice, state1succ1, state1succ2, state2succ1,
state2succ2);
} else if (assumption->getRelationType() == storm::expressions::BinaryRelationExpression::RelationType::Equal) {
} else if (assumption->getRelationType() == expressions::BinaryRelationExpression::RelationType::Equal) {
// The assumption is equal, the successors are the same,
// so if the probability of reaching the successors is the same, we have a valid assumption
if (state1succ1->getValue() == state2succ1->getValue()) {
@ -184,21 +181,21 @@ namespace storm {
result = AssumptionStatus::UNKNOWN;
}
} else {
result = validateAssumptionSMTSolver(lattice, assumption);
result = validateAssumptionSMTSolver(assumption, lattice);
}
} else {
result = validateAssumptionSMTSolver(lattice, assumption);
result = validateAssumptionSMTSolver(assumption, lattice);
}
}
return result;
}
template <typename ValueType>
AssumptionStatus AssumptionChecker<ValueType>::validateAssumptionFunction(storm::analysis::Lattice* lattice,
typename storm::storage::SparseMatrix<ValueType>::iterator state1succ1,
typename storm::storage::SparseMatrix<ValueType>::iterator state1succ2,
typename storm::storage::SparseMatrix<ValueType>::iterator state2succ1,
typename storm::storage::SparseMatrix<ValueType>::iterator state2succ2) {
AssumptionStatus AssumptionChecker<ValueType>::validateAssumptionFunction(Lattice* lattice,
typename storage::SparseMatrix<ValueType>::iterator state1succ1,
typename storage::SparseMatrix<ValueType>::iterator state1succ2,
typename storage::SparseMatrix<ValueType>::iterator state2succ1,
typename storage::SparseMatrix<ValueType>::iterator state2succ2) {
assert((state1succ1->getColumn() == state2succ1->getColumn()
&& state1succ2->getColumn() == state2succ2->getColumn())
|| (state1succ1->getColumn() == state2succ2->getColumn()
@ -209,10 +206,10 @@ namespace storm {
// Calculate the difference in probability for the "highest" successor state
ValueType prob;
auto comp = lattice->compare(state1succ1->getColumn(), state1succ2->getColumn());
assert (comp == storm::analysis::Lattice::ABOVE || comp == storm::analysis::Lattice::BELOW);
if (comp == storm::analysis::Lattice::ABOVE) {
assert (comp == Lattice::ABOVE || comp == Lattice::BELOW);
if (comp == Lattice::ABOVE) {
prob = state1succ1->getValue() - state2succ1->getValue();
} else if (comp == storm::analysis::Lattice::BELOW) {
} else if (comp == Lattice::BELOW) {
prob = state1succ2->getValue() - state2succ2->getValue();
}
@ -220,8 +217,7 @@ namespace storm {
// If the result in monotone increasing (decreasing), then choose 0 (1) for the substitutions
// This will give the smallest result
// TODO: Type
std::map<storm::RationalFunctionVariable, typename ValueType::CoeffType> substitutions;
std::map<typename utility::parametric::VariableType<ValueType>::type, typename utility::parametric::CoefficientType<ValueType>::type> substitutions;
for (auto var : vars) {
auto monotonicity = MonotonicityChecker<ValueType>::checkDerivative(prob.derivative(var));
if (monotonicity.first) {
@ -243,9 +239,9 @@ namespace storm {
template <typename ValueType>
AssumptionStatus AssumptionChecker<ValueType>::validateAssumptionSMTSolver(storm::analysis::Lattice* lattice, std::shared_ptr<storm::expressions::BinaryRelationExpression> assumption) {
std::shared_ptr<storm::utility::solver::SmtSolverFactory> smtSolverFactory = std::make_shared<storm::utility::solver::MathsatSmtSolverFactory>();
std::shared_ptr<storm::expressions::ExpressionManager> manager(new storm::expressions::ExpressionManager());
AssumptionStatus AssumptionChecker<ValueType>::validateAssumptionSMTSolver(std::shared_ptr<expressions::BinaryRelationExpression> assumption, Lattice* lattice) {
std::shared_ptr<utility::solver::SmtSolverFactory> smtSolverFactory = std::make_shared<utility::solver::MathsatSmtSolverFactory>();
std::shared_ptr<expressions::ExpressionManager> manager(new expressions::ExpressionManager());
AssumptionStatus result;
auto var1 = assumption->getFirstOperand()->asVariableExpression().getVariableName();
@ -256,8 +252,8 @@ namespace storm {
bool orderKnown = true;
// Check if the order between the different successors is known
// Also start creating expression for order of states
storm::expressions::Expression exprOrderSucc = manager->boolean(true);
std::set<storm::expressions::Variable> stateVariables;
expressions::Expression exprOrderSucc = manager->boolean(true);
std::set<expressions::Variable> stateVariables;
for (auto itr1 = row1.begin(); orderKnown && itr1 != row1.end(); ++itr1) {
auto varname1 = "s" + std::to_string(itr1->getColumn());
if (!manager->hasVariable(varname1)) {
@ -270,13 +266,13 @@ namespace storm {
stateVariables.insert(manager->declareRationalVariable(varname2));
}
auto comp = lattice->compare(itr1->getColumn(), itr2->getColumn());
if (comp == storm::analysis::Lattice::ABOVE) {
if (comp == Lattice::ABOVE) {
exprOrderSucc = exprOrderSucc && !(manager->getVariable(varname1) <=
manager->getVariable(varname2));
} else if (comp == storm::analysis::Lattice::BELOW) {
} else if (comp == Lattice::BELOW) {
exprOrderSucc = exprOrderSucc && !(manager->getVariable(varname1) >=
manager->getVariable(varname2));
} else if (comp == storm::analysis::Lattice::SAME) {
} else if (comp == Lattice::SAME) {
exprOrderSucc = exprOrderSucc &&
(manager->getVariable(varname1) = manager->getVariable(varname2));
} else {
@ -287,41 +283,39 @@ namespace storm {
}
if (orderKnown) {
storm::solver::Z3SmtSolver s(*manager);
auto valueTypeToExpression = storm::expressions::RationalFunctionToExpression<ValueType>(manager);
storm::expressions::Expression expr1 = manager->rational(0);
solver::Z3SmtSolver s(*manager);
auto valueTypeToExpression = expressions::RationalFunctionToExpression<ValueType>(manager);
expressions::Expression expr1 = manager->rational(0);
for (auto itr1 = row1.begin(); itr1 != row1.end(); ++itr1) {
expr1 = expr1 + (valueTypeToExpression.toExpression(itr1->getValue()) * manager->getVariable("s" + std::to_string(itr1->getColumn())));
}
storm::expressions::Expression expr2 = manager->rational(0);
expressions::Expression expr2 = manager->rational(0);
for (auto itr2 = row2.begin(); itr2 != row2.end(); ++itr2) {
expr2 = expr2 + (valueTypeToExpression.toExpression(itr2->getValue()) * manager->getVariable("s" + std::to_string(itr2->getColumn())));
}
// Create expression for the assumption based on the relation to successors
// It is the negation of actual assumption
// TODO: use same manager s.t. assumption can be used directly ?
storm::expressions::Expression exprToCheck ;
expressions::Expression exprToCheck ;
if (assumption->getRelationType() ==
storm::expressions::BinaryRelationExpression::RelationType::Greater) {
expressions::BinaryRelationExpression::RelationType::Greater) {
exprToCheck = expr1 <= expr2;
} else {
assert (assumption->getRelationType() ==
storm::expressions::BinaryRelationExpression::RelationType::Equal);
expressions::BinaryRelationExpression::RelationType::Equal);
exprToCheck = expr1 > expr2;
}
auto variables = manager->getVariables();
// Bounds for the state probabilities and parameters
storm::expressions::Expression exprBounds = manager->boolean(true);
expressions::Expression exprBounds = manager->boolean(true);
for (auto var : variables) {
if (find(stateVariables.begin(), stateVariables.end(), var) != stateVariables.end()) {
// the var is a state
exprBounds = exprBounds && manager->rational(0) <= var && var <= manager->rational(1);
} else {
// the var is a parameter
// TODO: graph-preserving
exprBounds = exprBounds && manager->rational(0) < var && var < manager->rational(1);
}
}
@ -329,15 +323,14 @@ namespace storm {
s.add(exprOrderSucc);
s.add(exprBounds);
// assert that sorting of successors in the lattice and the bounds on the expression are at least satisfiable
assert (s.check() == storm::solver::SmtSolver::CheckResult::Sat);
// TODO: kijken of t SAT moet zijn?
assert (s.check() == solver::SmtSolver::CheckResult::Sat);
s.add(exprToCheck);
auto smtRes = s.check();
if (smtRes == storm::solver::SmtSolver::CheckResult::Unsat) {
if (smtRes == solver::SmtSolver::CheckResult::Unsat) {
// If there is no thing satisfying the negation we are safe.
result = AssumptionStatus::VALID;
} else if (smtRes == storm::solver::SmtSolver::CheckResult::Sat) {
assert (smtRes == storm::solver::SmtSolver::CheckResult::Sat);
} else if (smtRes == solver::SmtSolver::CheckResult::Sat) {
assert (smtRes == solver::SmtSolver::CheckResult::Sat);
result = AssumptionStatus::INVALID;
} else {
result = AssumptionStatus::UNKNOWN;
@ -349,6 +342,6 @@ namespace storm {
return result;
}
template class AssumptionChecker<storm::RationalFunction>;
template class AssumptionChecker<RationalFunction>;
}
}

39
src/storm-pars/analysis/AssumptionChecker.h

@ -14,6 +14,9 @@
namespace storm {
namespace analysis {
/*!
* Constants for status of assumption
*/
enum AssumptionStatus {
VALID,
INVALID,
@ -22,10 +25,6 @@ namespace storm {
template<typename ValueType>
class AssumptionChecker {
public:
/*!
* Constants for status of assumption
*/
/*!
* Constructs an AssumptionChecker based on the number of samples, for the given formula and model.
@ -34,7 +33,7 @@ namespace storm {
* @param model The dtmc model to check the formula on.
* @param numberOfSamples Number of sample points.
*/
AssumptionChecker(std::shared_ptr<storm::logic::Formula const> formula, std::shared_ptr<storm::models::sparse::Dtmc<ValueType>> model, uint_fast64_t numberOfSamples);
AssumptionChecker(std::shared_ptr<logic::Formula const> formula, std::shared_ptr<models::sparse::Dtmc<ValueType>> model, uint_fast64_t numberOfSamples);
/*!
* Constructs an AssumptionChecker based on the number of samples, for the given formula and model.
@ -43,7 +42,7 @@ namespace storm {
* @param model The mdp model to check the formula on.
* @param numberOfSamples Number of sample points.
*/
AssumptionChecker(std::shared_ptr<storm::logic::Formula const> formula, std::shared_ptr<storm::models::sparse::Mdp<ValueType>> model, uint_fast64_t numberOfSamples);
AssumptionChecker(std::shared_ptr<logic::Formula const> formula, std::shared_ptr<models::sparse::Mdp<ValueType>> model, uint_fast64_t numberOfSamples);
/*!
* Checks if the assumption holds at the sample points of the AssumptionChecker.
@ -51,7 +50,7 @@ namespace storm {
* @param assumption The assumption to check.
* @return AssumptionStatus::UNKNOWN or AssumptionStatus::INVALID
*/
AssumptionStatus checkOnSamples(std::shared_ptr<storm::expressions::BinaryRelationExpression> assumption);
AssumptionStatus checkOnSamples(std::shared_ptr<expressions::BinaryRelationExpression> assumption);
/*!
* Tries to validate an assumption based on the lattice and underlying transition matrix.
@ -60,25 +59,31 @@ namespace storm {
* @param lattice The lattice.
* @return AssumptionStatus::VALID, or AssumptionStatus::UNKNOWN, or AssumptionStatus::INVALID
*/
AssumptionStatus validateAssumption(std::shared_ptr<storm::expressions::BinaryRelationExpression> assumption, storm::analysis::Lattice* lattice);
AssumptionStatus validateAssumption(std::shared_ptr<expressions::BinaryRelationExpression> assumption, Lattice* lattice);
AssumptionStatus validateAssumptionSMTSolver(storm::analysis::Lattice* lattice,
std::shared_ptr<storm::expressions::BinaryRelationExpression> assumption);
/*!
* Tries to validate an assumption based on the lattice, and SMT solving techniques
*
* @param assumption The assumption to validate.
* @param lattice The lattice.
* @return AssumptionStatus::VALID, or AssumptionStatus::UNKNOWN, or AssumptionStatus::INVALID
*/
AssumptionStatus validateAssumptionSMTSolver(std::shared_ptr<expressions::BinaryRelationExpression> assumption, Lattice* lattice);
private:
std::shared_ptr<storm::logic::Formula const> formula;
std::shared_ptr<logic::Formula const> formula;
storm::storage::SparseMatrix<ValueType> matrix;
storage::SparseMatrix<ValueType> matrix;
std::vector<std::vector<double>> samples;
void createSamples();
AssumptionStatus validateAssumptionFunction(storm::analysis::Lattice* lattice,
typename storm::storage::SparseMatrix<ValueType>::iterator state1succ1,
typename storm::storage::SparseMatrix<ValueType>::iterator state1succ2,
typename storm::storage::SparseMatrix<ValueType>::iterator state2succ1,
typename storm::storage::SparseMatrix<ValueType>::iterator state2succ2);
AssumptionStatus validateAssumptionFunction(Lattice* lattice,
typename storage::SparseMatrix<ValueType>::iterator state1succ1,
typename storage::SparseMatrix<ValueType>::iterator state1succ2,
typename storage::SparseMatrix<ValueType>::iterator state2succ1,
typename storage::SparseMatrix<ValueType>::iterator state2succ2);
};
}

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