Syntax and semantics of multi-adjoint normal logic programming

Multi-adjoint logic programming is a general framework with interesting features, which involves other positive logic programming frameworks such as monotonic and residuated logic programming, generalized annotated logic programs, fuzzy logic programming and possibilistic logic programming. One of t...

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Veröffentlicht in:Fuzzy sets and systems Jg. 345; S. 41 - 62
Hauptverfasser: Cornejo, M. Eugenia, Lobo, David, Medina, Jesús
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier B.V 15.08.2018
Schlagworte:
Multi-adjoint logic programs
Negation operator
Stable models
Negation operator
Stable models
Multi-adjoint logic programs
ISSN:0165-0114, 1872-6801
Online-Zugang:Volltext
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Zusammenfassung:Multi-adjoint logic programming is a general framework with interesting features, which involves other positive logic programming frameworks such as monotonic and residuated logic programming, generalized annotated logic programs, fuzzy logic programming and possibilistic logic programming. One of the most interesting extensions of this framework is the possibility of considering a negation operator in the logic programs, which will improve its flexibility and the range of real applications. This paper introduces multi-adjoint normal logic programming, which is an extension of multi-adjoint logic programming including a negation operator in the underlying lattice. Beside the introduction of the syntax and semantics of this paradigm, we will provide sufficient conditions for the existence of stable models defined on a convex compact set of an euclidean space. Finally, we will consider a particular algebraic structure in which sufficient conditions can be given in order to ensure the unicity of stable models of multi-adjoint normal logic programs.
ISSN:0165-0114
1872-6801
DOI:10.1016/j.fss.2017.12.009