Added back completion support.
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c47bd3c934
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@ -4,6 +4,7 @@
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#include <experimental/optional>
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#include <anthem/AST.h>
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#include <anthem/ASTVisitors.h>
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namespace anthem
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{
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@ -36,12 +37,59 @@ class VariableStack
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////////////////////////////////////////////////////////////////////////////////////////////////////
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std::vector<VariableDeclaration *> collectFreeVariables(Formula &formula);
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std::vector<VariableDeclaration *> collectFreeVariables(Formula &formula, VariableStack &variableStack);
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bool matches(const Predicate &lhs, const Predicate &rhs);
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void collectPredicates(const Formula &formula, std::vector<const Predicate *> &predicates);
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////////////////////////////////////////////////////////////////////////////////////////////////////
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// Replacing Variables
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////////////////////////////////////////////////////////////////////////////////////////////////////
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// Replaces all occurrences of a variable in a given term with another term
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struct ReplaceVariableInTermVisitor : public RecursiveTermVisitor<ReplaceVariableInTermVisitor>
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{
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static void accept(Variable &variable, Term &, const VariableDeclaration *original, VariableDeclaration *replacement)
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{
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if (variable.declaration == original)
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variable.declaration = replacement;
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}
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// Ignore all other types of expressions
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template<class T>
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static void accept(T &, Term &, const VariableDeclaration *, VariableDeclaration *)
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{
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}
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};
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////////////////////////////////////////////////////////////////////////////////////////////////////
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// Replaces all occurrences of a variable in a given formula with a term
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struct ReplaceVariableInFormulaVisitor : public RecursiveFormulaVisitor<ReplaceVariableInFormulaVisitor>
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{
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static void accept(Comparison &comparison, Formula &, const VariableDeclaration *original, VariableDeclaration *replacement)
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{
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comparison.left.accept(ReplaceVariableInTermVisitor(), comparison.left, original, replacement);
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comparison.right.accept(ReplaceVariableInTermVisitor(), comparison.right, original, replacement);
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}
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static void accept(In &in, Formula &, const VariableDeclaration *original, VariableDeclaration *replacement)
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{
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in.element.accept(ReplaceVariableInTermVisitor(), in.element, original, replacement);
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in.set.accept(ReplaceVariableInTermVisitor(), in.set, original, replacement);
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}
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static void accept(Predicate &predicate, Formula &, const VariableDeclaration *original, VariableDeclaration *replacement)
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{
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for (auto &argument : predicate.arguments)
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argument.accept(ReplaceVariableInTermVisitor(), argument, original, replacement);
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}
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// Ignore all other types of expressions
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template<class T>
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static void accept(T &, Formula &, const VariableDeclaration *, VariableDeclaration *)
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{
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}
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};
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////////////////////////////////////////////////////////////////////////////////////////////////////
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}
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@ -12,7 +12,7 @@ namespace anthem
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//
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////////////////////////////////////////////////////////////////////////////////////////////////////
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void complete(std::vector<ast::ScopedFormula> &scopedFormulas);
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std::vector<ast::Formula> complete(std::vector<ast::ScopedFormula> &&scopedFormulas);
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////////////////////////////////////////////////////////////////////////////////////////////////////
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@ -16,56 +16,6 @@ namespace ast
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//
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////////////////////////////////////////////////////////////////////////////////////////////////////
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////////////////////////////////////////////////////////////////////////////////////////////////////
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// Replacing Variables
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////////////////////////////////////////////////////////////////////////////////////////////////////
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// Replaces all occurrences of a variable in a given term with another term
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struct ReplaceVariableInTermVisitor : public RecursiveTermVisitor<ReplaceVariableInTermVisitor>
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{
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static void accept(Variable &variable, Term &, const VariableDeclaration *original, VariableDeclaration *replacement)
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{
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if (variable.declaration == original)
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variable.declaration = replacement;
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}
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// Ignore all other types of expressions
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template<class T>
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static void accept(T &, Term &, const VariableDeclaration *, VariableDeclaration *)
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{
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}
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};
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////////////////////////////////////////////////////////////////////////////////////////////////////
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// Replaces all occurrences of a variable in a given formula with a term
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struct ReplaceVariableInFormulaVisitor : public RecursiveFormulaVisitor<ReplaceVariableInFormulaVisitor>
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{
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static void accept(Comparison &comparison, Formula &, const VariableDeclaration *original, VariableDeclaration *replacement)
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{
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comparison.left.accept(ReplaceVariableInTermVisitor(), comparison.left, original, replacement);
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comparison.right.accept(ReplaceVariableInTermVisitor(), comparison.right, original, replacement);
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}
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static void accept(In &in, Formula &, const VariableDeclaration *original, VariableDeclaration *replacement)
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{
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in.element.accept(ReplaceVariableInTermVisitor(), in.element, original, replacement);
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in.set.accept(ReplaceVariableInTermVisitor(), in.set, original, replacement);
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}
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static void accept(Predicate &predicate, Formula &, const VariableDeclaration *original, VariableDeclaration *replacement)
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{
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for (auto &argument : predicate.arguments)
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argument.accept(ReplaceVariableInTermVisitor(), argument, original, replacement);
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}
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// Ignore all other types of expressions
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template<class T>
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static void accept(T &, Formula &, const VariableDeclaration *, VariableDeclaration *)
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{
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}
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};
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////////////////////////////////////////////////////////////////////////////////////////////////////
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// Preparing Copying
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////////////////////////////////////////////////////////////////////////////////////////////////////
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@ -192,25 +192,6 @@ struct CollectFreeVariablesVisitor
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////////////////////////////////////////////////////////////////////////////////////////////////////
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std::vector<VariableDeclaration *> collectFreeVariables(Formula &formula)
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{
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VariableStack variableStack;
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return collectFreeVariables(formula, variableStack);
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}
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////////////////////////////////////////////////////////////////////////////////////////////////////
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std::vector<VariableDeclaration *> collectFreeVariables(Formula &formula, VariableStack &variableStack)
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{
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std::vector<VariableDeclaration *> freeVariables;
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formula.accept(CollectFreeVariablesVisitor(), variableStack, freeVariables);
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return freeVariables;
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}
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////////////////////////////////////////////////////////////////////////////////////////////////////
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struct CollectPredicatesVisitor : public RecursiveFormulaVisitor<CollectPredicatesVisitor>
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{
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static void accept(const Predicate &predicate, const Formula &, std::vector<const Predicate *> &predicates)
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@ -1,8 +1,10 @@
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#include <anthem/Completion.h>
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#include <anthem/AST.h>
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#include <anthem/ASTCopy.h>
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#include <anthem/ASTUtils.h>
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#include <anthem/ASTVisitors.h>
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#include <anthem/Exception.h>
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#include <anthem/Utils.h>
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namespace anthem
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@ -14,33 +16,14 @@ namespace anthem
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//
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////////////////////////////////////////////////////////////////////////////////////////////////////
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// Copies the parameters of a predicate
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std::vector<std::unique_ptr<ast::VariableDeclaration>> copyParameters(const ast::Predicate &predicate)
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{
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std::vector<std::unique_ptr<ast::VariableDeclaration>> parameters;
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/*parameters.reserve(predicate.arity());
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for (const auto &argument : predicate.arguments)
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{
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assert(argument.is<ast::Variable>());
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// TODO: reimplement
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//parameters.emplace_back(ast::deepCopy(parameter.get<ast::VariableDeclaration>()));
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}*/
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return parameters;
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}
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////////////////////////////////////////////////////////////////////////////////////////////////////
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// Builds the conjunction within the completed formula for a given predicate
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ast::Formula buildCompletedFormulaDisjunction(const ast::Predicate &predicate, std::vector<std::unique_ptr<ast::VariableDeclaration>> ¶meters, std::vector<ast::ScopedFormula> &scopedFormulas)
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ast::Formula buildCompletedFormulaDisjunction(const ast::Predicate &predicate, const ast::VariableDeclarationPointers ¶meters, std::vector<ast::ScopedFormula> &scopedFormulas)
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{
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auto disjunction = ast::Formula::make<ast::Or>();
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/*ast::VariableStack variableStack;
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variableStack.push(¶meters);
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assert(predicate.arguments.size() == parameters.size());
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// Build the conjunction of all formulas with the predicate as consequent
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// Build the disjunction of all formulas with the predicate as consequent
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for (auto &scopedFormula : scopedFormulas)
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{
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assert(scopedFormula.formula.is<ast::Implies>());
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@ -54,18 +37,36 @@ ast::Formula buildCompletedFormulaDisjunction(const ast::Predicate &predicate, s
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if (!ast::matches(predicate, otherPredicate))
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continue;
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auto variables = ast::collectFreeVariables(implies.antecedent, variableStack);
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assert(otherPredicate.arguments.size() == parameters.size());
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// TODO: avoid deep copies
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// TODO: reimplement
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if (variables.empty())
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disjunction.get<ast::Or>().arguments.emplace_back(ast::deepCopy(implies.antecedent));
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// Each formula with the predicate as its consequent currently has its own copy of the predicate’s parameters
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// These need to be linked to the new, unique set of parameters
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for (size_t i = 0; i < parameters.size(); i++)
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{
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assert(otherPredicate.arguments[i].is<ast::Variable>());
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const auto &otherVariable = otherPredicate.arguments[i].get<ast::Variable>();
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scopedFormula.formula.accept(ast::ReplaceVariableInFormulaVisitor(), scopedFormula.formula, otherVariable.declaration, parameters[i].get());
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}
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// Remove all the head variables, because they are not free variables after completion
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const auto isHeadVariable =
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[](const auto &variableDeclaration)
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{
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return variableDeclaration->type == ast::VariableDeclaration::Type::Head;
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};
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auto &freeVariables = scopedFormula.freeVariables;
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freeVariables.erase(std::remove_if(freeVariables.begin(), freeVariables.end(), isHeadVariable), freeVariables.end());
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if (freeVariables.empty())
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disjunction.get<ast::Or>().arguments.emplace_back(std::move(implies.antecedent));
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else
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{
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auto exists = ast::Formula::make<ast::Exists>(std::move(variables), ast::deepCopy(implies.antecedent));
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auto exists = ast::Formula::make<ast::Exists>(std::move(freeVariables), std::move(implies.antecedent));
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disjunction.get<ast::Or>().arguments.emplace_back(std::move(exists));
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}
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}*/
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}
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return disjunction;
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}
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@ -77,7 +78,7 @@ ast::Formula buildCompletedFormulaQuantified(ast::Predicate &&predicate, ast::Fo
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{
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assert(innerFormula.is<ast::Or>());
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/*if (innerFormula.get<ast::Or>().arguments.empty())
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if (innerFormula.get<ast::Or>().arguments.empty())
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return ast::Formula::make<ast::Not>(std::move(predicate));
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if (innerFormula.get<ast::Or>().arguments.size() == 1)
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@ -91,72 +92,77 @@ ast::Formula buildCompletedFormulaQuantified(ast::Predicate &&predicate, ast::Fo
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return std::move(predicate);
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else
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return ast::Formula::make<ast::Not>(std::move(predicate));
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}*/
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}
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return ast::Formula::make<ast::Biconditional>(std::move(predicate), std::move(innerFormula));
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}
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////////////////////////////////////////////////////////////////////////////////////////////////////
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void completePredicate(ast::Predicate &&predicate, std::vector<ast::ScopedFormula> &scopedFormulas, std::vector<ast::ScopedFormula> &completedScopedFormulas)
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ast::Formula completePredicate(const ast::Predicate &predicate, std::vector<ast::ScopedFormula> &scopedFormulas)
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{
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/*auto parameters = copyParameters(predicate);
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auto completedFormulaDisjunction = buildCompletedFormulaDisjunction(predicate, parameters, scopedFormulas);
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auto completedFormulaQuantified = buildCompletedFormulaQuantified(std::move(predicate), std::move(completedFormulaDisjunction));
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// Create new set of parameters for the completed definition for the predicate
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ast::VariableDeclarationPointers parameters;
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parameters.reserve(predicate.arguments.size());
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if (parameters.empty())
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std::vector<ast::Term> arguments;
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arguments.reserve(predicate.arguments.size());
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for (size_t i = 0; i < predicate.arguments.size(); i++)
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{
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completedFormulas.emplace_back(std::move(completedFormulaQuantified));
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return;
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parameters.emplace_back(std::make_unique<ast::VariableDeclaration>(ast::VariableDeclaration::Type::Head));
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arguments.emplace_back(ast::Term::make<ast::Variable>(parameters.back().get()));
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}
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auto completedFormula = ast::Formula::make<ast::ForAll>(std::move(parameters), std::move(completedFormulaQuantified));
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completedFormulas.emplace_back(std::move(completedFormula));*/
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ast::Predicate predicateCopy(std::string(predicate.name), std::move(arguments));
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auto completedFormulaDisjunction = buildCompletedFormulaDisjunction(predicateCopy, parameters, scopedFormulas);
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auto completedFormulaQuantified = buildCompletedFormulaQuantified(std::move(predicateCopy), std::move(completedFormulaDisjunction));
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if (parameters.empty())
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return completedFormulaQuantified;
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return ast::Formula::make<ast::ForAll>(std::move(parameters), std::move(completedFormulaQuantified));
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}
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////////////////////////////////////////////////////////////////////////////////////////////////////
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void completeIntegrityConstraint(ast::Formula &formula, std::vector<ast::ScopedFormula> &)
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ast::Formula completeIntegrityConstraint(ast::ScopedFormula &scopedFormula)
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{
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/*assert(formula.is<ast::Implies>());
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auto &implies = formula.get<ast::Implies>();
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assert(scopedFormula.formula.is<ast::Implies>());
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auto &implies = scopedFormula.formula.get<ast::Implies>();
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assert(implies.consequent.is<ast::Boolean>());
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assert(implies.consequent.get<ast::Boolean>().value == false);
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auto variables = ast::collectFreeVariables(implies.antecedent);
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auto argument = ast::Formula::make<ast::Not>(std::move(implies.antecedent));
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// TODO: avoid deep copies
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// TODO: reimplement
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auto argument = ast::Formula::make<ast::Not>(ast::deepCopy(implies.antecedent));
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auto &freeVariables = scopedFormula.freeVariables;
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if (variables.empty())
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{
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completedFormulas.emplace_back(std::move(argument));
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return;
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}
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if (freeVariables.empty())
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return argument;
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auto completedFormula = ast::Formula::make<ast::ForAll>(std::move(variables), std::move(argument));
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completedFormulas.emplace_back(std::move(completedFormula));*/
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return ast::Formula::make<ast::ForAll>(std::move(freeVariables), std::move(argument));
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}
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////////////////////////////////////////////////////////////////////////////////////////////////////
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void complete(std::vector<ast::ScopedFormula> &scopedFormulas)
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std::vector<ast::Formula> complete(std::vector<ast::ScopedFormula> &&scopedFormulas)
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{
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/*// Check whether formulas are in normal form
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// Check whether formulas are in normal form
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for (const auto &scopedFormula : scopedFormulas)
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{
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if (!scopedFormula.formula.is<ast::Implies>())
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throw std::runtime_error("cannot perform completion, formula not in normal form");
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throw CompletionException("cannot perform completion, formula not in normal form");
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auto &implies = scopedFormula.formula.get<ast::Implies>();
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if (!implies.consequent.is<ast::Predicate>() && !implies.consequent.is<ast::Boolean>())
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throw std::runtime_error("cannot perform completion, only single predicates and Booleans supported as formula consequent currently");
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throw CompletionException("cannot perform completion, only single predicates and Booleans supported as formula consequent currently");
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}
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std::vector<const ast::Predicate *> predicates;
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// Get a list of all predicates
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for (const auto &scopedFormula : scopedFormulas)
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ast::collectPredicates(scopedFormula.formula, predicates);
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@ -171,24 +177,11 @@ void complete(std::vector<ast::ScopedFormula> &scopedFormulas)
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return lhs->arity() < rhs->arity();
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});
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std::vector<ast::ScopedFormula> completedScopedFormulas;
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std::vector<ast::Formula> completedFormulas;
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// Complete predicates
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for (const auto *predicate : predicates)
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{
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// Create the signature of the predicate
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ast::Predicate signature(std::string(predicate->name));
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signature.arguments.reserve(predicate->arguments.size());
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// TODO: reimplement
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for (std::size_t i = 0; i < predicate->arguments.size(); i++)
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{
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auto variableName = std::string(AuxiliaryHeadVariablePrefix) + std::to_string(i + 1);
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signature.arguments.emplace_back(ast::Term::make<ast::Variable>(std::move(variableName), ast::VariableDeclaration::Type::Reserved));
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}
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completePredicate(std::move(signature), scopedFormulas, completedScopedFormulas);
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}
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completedFormulas.emplace_back(completePredicate(*predicate, scopedFormulas));
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// Complete integrity constraints
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for (auto &scopedFormula : scopedFormulas)
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@ -204,10 +197,10 @@ void complete(std::vector<ast::ScopedFormula> &scopedFormulas)
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if (boolean.value == true)
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continue;
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completeIntegrityConstraint(scopedFormula.formula, completedScopedFormulas);
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completedFormulas.emplace_back(completeIntegrityConstraint(scopedFormula));
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}
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std::swap(scopedFormulas, completedScopedFormulas);*/
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return completedFormulas;
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}
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////////////////////////////////////////////////////////////////////////////////////////////////////
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@ -59,16 +59,26 @@ void translate(const char *fileName, std::istream &stream, Context &context)
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for (auto &scopedFormula : scopedFormulas)
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simplify(scopedFormula.formula);
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if (context.complete)
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complete(scopedFormulas);
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ast::PrintContext printContext;
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if (!context.complete)
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{
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for (const auto &scopedFormula : scopedFormulas)
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{
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ast::print(context.logger.outputStream(), scopedFormula.formula, printContext);
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context.logger.outputStream() << std::endl;
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}
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return;
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}
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auto completedFormulas = complete(std::move(scopedFormulas));
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for (const auto &completedFormula : completedFormulas)
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{
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ast::print(context.logger.outputStream(), completedFormula, printContext);
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context.logger.outputStream() << std::endl;
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}
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}
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////////////////////////////////////////////////////////////////////////////////////////////////////
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@ -8,7 +8,7 @@
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////////////////////////////////////////////////////////////////////////////////////////////////////
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/*TEST_CASE("[completion] Rules are completed", "[completion]")
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TEST_CASE("[completion] Rules are completed", "[completion]")
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{
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std::stringstream input;
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std::stringstream output;
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@ -75,12 +75,12 @@
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CHECK(output.str() ==
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"not q\n"
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"forall V1 not r(V1)\n"
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"forall V1 not s(V1)\n"
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"forall V2 not s(V2)\n"
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"not t\n"
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"forall V1 not u(V1)\n"
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"forall V3 not u(V3)\n"
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"not q\n"
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"not r(5)\n"
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"forall N not s(N)\n"
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"forall U1 not s(U1)\n"
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"not t\n"
|
||||
"not u(5)\n");
|
||||
}
|
||||
@ -126,7 +126,7 @@
|
||||
CHECK(output.str() ==
|
||||
"not p\n"
|
||||
"forall V1 not q(V1)\n"
|
||||
"forall V1, V2 not t(V1, V2)\n"
|
||||
"forall V2, V3 not t(V2, V3)\n"
|
||||
"not v\n");
|
||||
}
|
||||
|
||||
@ -140,12 +140,9 @@
|
||||
anthem::translate("input", input, context);
|
||||
|
||||
CHECK(output.str() ==
|
||||
"forall V1 (covered(V1) <-> exists I, S (V1 = I and in(I, S)))\n"
|
||||
"forall V1, V2 (in(V1, V2) <-> (V1 in 1..n and V2 in 1..r and in(V1, V2)))\n"
|
||||
"forall I not (I in 1..n and not covered(I))\n"
|
||||
"forall I, S, J not (in(I, S) and in(J, S) and exists X5 (X5 in (I + J) and in(X5, S)))\n");
|
||||
"forall V1 (covered(V1) <-> exists U1, U2 (V1 = U1 and in(U1, U2)))\n"
|
||||
"forall V2, V3 (in(V2, V3) <-> (V2 in 1..n and V3 in 1..r and in(V2, V3)))\n"
|
||||
"forall U3 not (U3 in 1..n and not covered(U3))\n"
|
||||
"forall U4, U5, U6 not (in(U4, U5) and in(U6, U5) and exists X1 (X1 in (U4 + U6) and in(X1, U5)))\n");
|
||||
}
|
||||
|
||||
// TODO: test collecting free variables
|
||||
}
|
||||
*/
|
||||
|
Loading…
Reference in New Issue
Block a user