We recently proposed a definition of a language for nonmonotonic reasoning based on intuitionistic logic. Our main idea is a generalization of the notion of answer sets for arbitr...
Abstract. A minimum satisfying assignment of a formula is a minimumcost partial assignment of values to the variables in the formula that guarantees the formula is true. Minimum sa...
Isil Dillig, Thomas Dillig, Kenneth L. McMillan, A...
The framework of algorithmic knowledge assumes that agents use algorithms to compute the facts they explicitly know. In many cases of interest, a logical theory, rather than a par...
Abstract. We consider the problem of whether a given preferred answer set program can be reduced to a propositional formula. Research on this topic is of both theoretical and pract...
Abstract. We present a formally verified quantifier elimination procedure for the first order theory over linear mixed real-integer arithmetics in higher-order logic based on a wor...