In this article we present a refined summation theory based on Karr's difference field approach. The resulting algorithms find sum representations with optimal nested depth. ...
Traditional methods for combining theory solvers rely on capabilities of the solvers to produce all implied equalities or a pre-processing step that introduces additional literals...
Knuth-Bendix completions of the equational theories of k 2 commuting group endomorphisms are obtained, using automated theorem proving and modern termination checking. This impro...
In this paper a method for the replacement, in formulas, of strong quantifiers by functions is introduced that can be considered as an alternative to Skolemization in the setting ...
Employing a logic program approach, this paper focuses on applying preferential reasoning to theory revision, both by means of preferences among existing theory rules, and by means...