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anthem/include/anthem/IntegerVariableDetection.h

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Implement integer variable detection This adds support for detecting integer variables in formulas. The idea is to iteratively assume variables to be noninteger and to prove that this would lead to a false or erroneous result. If the proof is successful, the variable is integer as a consequence. The implementation consists of two parts. The first one is a visitor class that recursively searches for all declared variables in a formula and applies the second part, a custom check. Three such checks are implemented. The first one tests whether a predicate definition is falsified by making a variable noninteger, in which case it can be concluded that the variable in question is integer. The second one checks whether bound variables in a quantified formula turn the quantified part false, again to conclude that variables are integer. The third check consists in testing if making a variable noninteger turns the entire formula obtained from completion true. In this case, the statement can be dropped and the variable is concluded to be integer as well.
2018-04-29 21:32:14 +02:00
#ifndef __ANTHEM__INTEGER_VARIABLE_DETECTION_H
#define __ANTHEM__INTEGER_VARIABLE_DETECTION_H
#include <anthem/AST.h>
#include <anthem/Context.h>
namespace anthem
{
////////////////////////////////////////////////////////////////////////////////////////////////////
//
// IntegerVariableDetection
//
////////////////////////////////////////////////////////////////////////////////////////////////////
void detectIntegerVariables(std::vector<ast::Formula> &completedFormulas);
////////////////////////////////////////////////////////////////////////////////////////////////////
}
#endif