We give a simple intuitionistic completeness proof of Kripke semantics with constant domain for intuitionistic logic with implication and universal quantification. We use a cut-fr...
Abstract. We develop semantics for modal logic programs in basic serial multimodal logics, which are parameterized by an arbitrary combination of generalized versions of axioms T, ...
We define a logic of propositional formula schemata adding to the syntax of propositional logic indexed propositions (e.g., pi) and iterated connectives ∨ or ∧ ranging over i...
Vincent Aravantinos, Ricardo Caferra, Nicolas Pelt...
The paper presents a calculus based on resolution for credulous reasoning in Answer Set Programming. The new approach allows a top-down and goal directed resolution, in the same s...
A logic is developed in which function symbols are allowed to represent partial functions. It has the usual rules of logic (in the form of a sequent calculus) except that the subs...