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@ -67,6 +67,24 @@ namespace storm { |
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// A vector of variables that can be used to constrain the number of variables that are set to true. |
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std::vector<z3::expr> adderVariables; |
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// A flag whether or not there are variables reserved for encoding reachability of a target state. |
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bool hasReachabilityVariables; |
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// Starting from here, all structures hold information only if hasReachabilityVariables is true; |
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// A mapping from each pair of adjacent relevant states to their index in the corresponding variable vector. |
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std::map<std::pair<uint_fast64_t, uint_fast64_t>, uint_fast64_t> statePairToIndexMap; |
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// A vector of variables associated with each pair of relevant states (s, s') such that s' is |
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// a successor of s. |
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std::vector<z3::expr> statePairVariables; |
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// A mapping from relevant states to the index with the corresponding order variable in the state order variable vector. |
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std::map<uint_fast64_t, uint_fast64_t> relevantStatesToOrderVariableIndexMap; |
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// A vector of variables that holds all state order variables. |
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std::vector<z3::expr> stateOrderVariables; |
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}; |
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/*! |
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@ -141,13 +159,14 @@ namespace storm { |
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* @param relevantCommands A set of relevant labels for which to create the expressions. |
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* @return A mapping from relevant labels to their corresponding expressions. |
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*/ |
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static VariableInformation createExpressionsForRelevantLabels(z3::context& context, storm::storage::VectorSet<uint_fast64_t> const& relevantLabels) { |
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static VariableInformation createVariables(z3::context& context, storm::models::Mdp<T> const& labeledMdp, storm::storage::BitVector const& psiStates, RelevancyInformation const& relevancyInformation, bool createReachabilityVariables) { |
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VariableInformation variableInformation; |
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// Create stringstream to build expression names. |
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std::stringstream variableName; |
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for (auto label : relevantLabels) { |
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// Create the variables for the relevant labels. |
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for (auto label : relevancyInformation.relevantLabels) { |
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variableInformation.labelToIndexMap[label] = variableInformation.labelVariables.size(); |
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// Clear contents of the stream to construct new expression name. |
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@ -165,6 +184,68 @@ namespace storm { |
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variableInformation.originalAuxiliaryVariables.push_back(context.bool_const(variableName.str().c_str())); |
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} |
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// A mapping from each pair of adjacent relevant states to their index in the corresponding variable vector. |
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std::map<std::pair<uint_fast64_t, uint_fast64_t>, uint_fast64_t> statePairToIndexMap; |
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// A vector of variables associated with each pair of relevant states (s, s') such that s' is |
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// a successor of s. |
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std::vector<z3::expr> statePairVariables; |
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// Create variables needed for encoding reachability of a target state if requested. |
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if (createReachabilityVariables) { |
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variableInformation.hasReachabilityVariables = true; |
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storm::storage::SparseMatrix<T> const& transitionMatrix = labeledMdp.getTransitionMatrix(); |
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std::vector<uint_fast64_t> const& nondeterministicChoiceIndices = labeledMdp.getNondeterministicChoiceIndices(); |
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for (auto state : relevancyInformation.relevantStates) { |
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variableInformation.relevantStatesToOrderVariableIndexMap[state] = variableInformation.stateOrderVariables.size(); |
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// Clear contents of the stream to construct new expression name. |
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variableName.clear(); |
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variableName.str(""); |
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variableName << "o" << state; |
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variableInformation.stateOrderVariables.push_back(context.real_const(variableName.str().c_str())); |
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for (auto const& relevantChoices : relevancyInformation.relevantChoicesForRelevantStates.at(state)) { |
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for (typename storm::storage::SparseMatrix<T>::ConstIndexIterator successorIt = transitionMatrix.constColumnIteratorBegin(relevantChoices); successorIt != transitionMatrix.constColumnIteratorEnd(relevantChoices); ++successorIt) { |
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// If the successor state is neither the state itself nor an irrelevant state, we need to add a variable for the transition. |
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if (state != *successorIt && (relevancyInformation.relevantStates.get(*successorIt) || psiStates.get(*successorIt))) { |
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// Make sure that there is not already one variable for the state pair. This may happen because of several nondeterministic choices |
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// targeting the same state. |
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if (variableInformation.statePairToIndexMap.find(std::make_pair(state, *successorIt)) != variableInformation.statePairToIndexMap.end()) { |
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continue; |
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} |
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// At this point we know that the state-pair does not have an associated variable. |
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variableInformation.statePairToIndexMap[std::make_pair(state, *successorIt)] = variableInformation.statePairVariables.size(); |
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// Clear contents of the stream to construct new expression name. |
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variableName.clear(); |
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variableName.str(""); |
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variableName << "t" << state << "_" << *successorIt; |
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variableInformation.statePairVariables.push_back(context.bool_const(variableName.str().c_str())); |
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} |
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} |
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} |
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} |
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for (auto psiState : psiStates) { |
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variableInformation.relevantStatesToOrderVariableIndexMap[psiState] = variableInformation.stateOrderVariables.size(); |
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// Clear contents of the stream to construct new expression name. |
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variableName.clear(); |
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variableName.str(""); |
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variableName << "o" << psiState; |
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variableInformation.stateOrderVariables.push_back(context.real_const(variableName.str().c_str())); |
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} |
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} |
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return variableInformation; |
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} |
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@ -809,6 +890,41 @@ namespace storm { |
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} |
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} |
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/*! |
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* Asserts constraints necessary to encode the reachability of at least one target state from the initial states. |
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*/ |
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static void assertReachabilityCuts(storm::models::Mdp<T> const& labeledMdp, storm::storage::BitVector const& psiStates, VariableInformation const& variableInformation, RelevancyInformation const& relevancyInformation, z3::context& context, z3::solver& solver) { |
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// Get some data from the MDP for convenient access. |
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storm::storage::SparseMatrix<T> const& transitionMatrix = labeledMdp.getTransitionMatrix(); |
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std::vector<storm::storage::VectorSet<uint_fast64_t>> const& choiceLabeling = labeledMdp.getChoiceLabeling(); |
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storm::storage::SparseMatrix<bool> backwardTransitions = labeledMdp.getBackwardTransitions(); |
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for (auto relevantState : relevancyInformation.relevantStates) { |
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// Only consider the state if it's not an initial state. |
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if (!labeledMdp.getInitialStates().get(relevantState)) { |
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storm::storage::VectorSet<uint_fast64_t> relevantPredecessors; |
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for (typename storm::storage::SparseMatrix<T>::ConstIndexIterator predecessorIt = backwardTransitions.constColumnIteratorBegin(relevantState), predecessorIte = backwardTransitions.constColumnIteratorEnd(relevantState); predecessorIt != predecessorIte; ++predecessorIt) { |
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if (relevantState != *predecessorIt && relevancyInformation.relevantStates.get(*predecessorIt)) { |
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relevantPredecessors.insert(*predecessorIt); |
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} |
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} |
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storm::storage::VectorSet<uint_fast64_t> relevantSuccessors; |
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for (auto const& relevantChoices : relevancyInformation.relevantChoicesForRelevantStates.at(relevantState)) { |
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for (typename storm::storage::SparseMatrix<T>::ConstIndexIterator successorIt = transitionMatrix.constColumnIteratorBegin(relevantChoices); successorIt != transitionMatrix.constColumnIteratorEnd(relevantChoices); ++successorIt) { |
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if (relevantState != *successorIt && (relevancyInformation.relevantStates.get(*successorIt) || psiStates.get(*successorIt))) { |
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relevantSuccessors.insert(*successorIt); |
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} |
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} |
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} |
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// TODO: build the constraints |
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} |
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} |
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} |
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/*! |
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* Asserts that the disjunction of the given formulae holds. If the content of the disjunction is empty, |
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* this corresponds to asserting false. |
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@ -1425,7 +1541,7 @@ namespace storm { |
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* @param checkThresholdFeasible If set, it is verified that the model can actually achieve/exceed the given probability value. If this check |
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* is made and fails, an exception is thrown. |
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*/ |
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static storm::storage::VectorSet<uint_fast64_t> getMinimalCommandSet(storm::ir::Program program, std::string const& constantDefinitionString, storm::models::Mdp<T> const& labeledMdp, storm::storage::BitVector const& phiStates, storm::storage::BitVector const& psiStates, double probabilityThreshold, bool strictBound, bool checkThresholdFeasible = false) { |
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static storm::storage::VectorSet<uint_fast64_t> getMinimalCommandSet(storm::ir::Program program, std::string const& constantDefinitionString, storm::models::Mdp<T> const& labeledMdp, storm::storage::BitVector const& phiStates, storm::storage::BitVector const& psiStates, double probabilityThreshold, bool strictBound, bool checkThresholdFeasible = false, bool includeReachabilityEncoding = false) { |
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#ifdef STORM_HAVE_Z3 |
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// Set up all clocks used for time measurement. |
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auto totalClock = std::chrono::high_resolution_clock::now(); |
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@ -1469,7 +1585,7 @@ namespace storm { |
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z3::context context; |
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// (4) Create the variables for the relevant commands. |
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VariableInformation variableInformation = createExpressionsForRelevantLabels(context, relevancyInformation.relevantLabels); |
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VariableInformation variableInformation = createVariables(context, labeledMdp, psiStates, relevancyInformation, includeReachabilityEncoding); |
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LOG4CPLUS_DEBUG(logger, "Created variables."); |
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// (5) After all variables have been created, create a solver for that context. |
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@ -1487,6 +1603,10 @@ namespace storm { |
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LOG4CPLUS_DEBUG(logger, "Asserted explicit cuts."); |
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assertSymbolicCuts(program, labeledMdp, variableInformation, relevancyInformation, context, solver); |
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LOG4CPLUS_DEBUG(logger, "Asserted symbolic cuts."); |
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if (includeReachabilityEncoding) { |
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assertReachabilityCuts(labeledMdp, psiStates, variableInformation, relevancyInformation, context, solver); |
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LOG4CPLUS_DEBUG(logger, "Asserted reachability cuts."); |
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} |
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// As we are done with the setup at this point, stop the clock for the setup time. |
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totalSetupTime = std::chrono::high_resolution_clock::now() - setupTimeClock; |
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