This paper introduces power default reasoning (PDR), a framework for nonmonotonic reasoning based on the domain-theoretic idea of modeling default rules with partial-information i...
Abstract. A type-theoretic framework for formal reasoning with different logical foundations is introduced and studied. With logic-enriched type theories formulated in a logical fr...
In [Sas01], it was given a cut-free sequent system for the smallest interpretability logic IL. He first gave a cut-free system for IK4, a sublogic of IL, whose -free fragment is th...
When logic programming is based on the proof theory of intuitionistic logic, it is natural to allow implications in goals and in the bodies of clauses. Attempting to prove a goal ...
Narrowing extends rewriting with logic capabilities by allowing free variables in terms and replacing matching with unification. Narrowing has been widely used in different context...