ABSTRACT. Canonical models are of central importance in modal logic, in particular as they witness strong completeness and hence compactness. While the canonical model construction...
—A novel countermodel-producing decision procedure that applies to several multi-modal logics, both intuitionistic and classical, is presented. Based on backwards search in label...
The alternating xpoint of a logic program with negation is de ned constructively. The underlying idea is monotonically to build up a set of negative conclusions until the least xp...
The paper presents a constructive 3-valued semantics for autoepistemic logic (AEL). We introduce a derivation operator and de ne the semantics as its least xpoint. The semantics is...
Marc Denecker, V. Wiktor Marek, Miroslaw Truszczyn...
In this paper, we present an account of classical Logic Programming fixed-point semantics in terms of two standard categorical constructions in which the least Herbrand model is ...