On Multi-valued Semantics for Logic Programs

Coalgebraic semantics for logic programs

General logic programs with negation have the 3-valued minimal Herbrand models based on the Kripke’s fixpoint knowledge revision operator and on Clark’s completion. Based on these results we deifine a new algebra , (with the relational algebra embedded in it), and present an algorithmic transformation of logic programs into the system of tuple-variable equations which is a -coalgebra. The solut...

Extended Well-Founded Semantics for Paraconsistent Logic Programs

This paper presents a declarative semantics of logic programs which possibly contain inconsistent information. We introduce a multi-valued interpretation of logic programs and present the extended well-founded semantics for paraconsistent logic programs. In this setting, a meaningful information is still available in the presence of an inconsistent information in a program and any fact which is...

Paraconsistent Stable Semantics for Extended Disjunctive Programs

This paper presents declarative semantics of possibly inconsistent disjunctive logic programs. We introduce the paraconsistent minimal and stable model semantics for extended disjunctive programs, which can distinguish inconsistent information from others in a program. These semantics are based on lattice-structured multi-valued logics, and are characterized by a new xpoint semantics of extende...

Computing and Comparing Semantics of Programs in Multi-valued Logics

The different semantics that can be assigned to a logic program correspond to different assumptions made concerning the atoms whose logical values cannot be inferred from the rules. Thus, the well founded semantics corresponds to the assumption that every such atom is false, while the Kripke-Kleene semantics corresponds to the assumption that every such atom is unknown. In this paper, we propos...

Generalized knowledge-based semantics for multi-valued logic programs