Extended multi-adjoint logic programming

Fuente: arXiv
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Hauptverfasser: Cornejo, M. Eugenia, Lobo, David, Medina, Jesús
Format: Preprint
Veröffentlicht: 2024
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author Cornejo, M. Eugenia
Lobo, David
Medina, Jesús
author_facet Cornejo, M. Eugenia
Lobo, David
Medina, Jesús
contents Extended multi-adjoint logic programming arises as an extension of multi-adjoint normal logic programming where constraints and a special type of aggregator operator have been included. The use of this general aggregator operator permits to consider, for example, different negation operators in the body of the rules of a logic program. We have introduced the syntax and the semantics of this new paradigm, as well as an interesting mechanism for obtaining a multi-adjoint normal logic program from an extended multi-adjoint logic program. This mechanism will allow us to establish technical properties relating the different stable models of both logic programming frameworks. Moreover, it makes possible that the already developed and future theory associated with stable models of multi-adjoint normal logic programs can be applied to extended multi-adjoint logic programs.
format Preprint
id arxiv_https___arxiv_org_abs_2410_04794
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Extended multi-adjoint logic programming
Cornejo, M. Eugenia
Lobo, David
Medina, Jesús
Logic in Computer Science
Logic
Extended multi-adjoint logic programming arises as an extension of multi-adjoint normal logic programming where constraints and a special type of aggregator operator have been included. The use of this general aggregator operator permits to consider, for example, different negation operators in the body of the rules of a logic program. We have introduced the syntax and the semantics of this new paradigm, as well as an interesting mechanism for obtaining a multi-adjoint normal logic program from an extended multi-adjoint logic program. This mechanism will allow us to establish technical properties relating the different stable models of both logic programming frameworks. Moreover, it makes possible that the already developed and future theory associated with stable models of multi-adjoint normal logic programs can be applied to extended multi-adjoint logic programs.
title Extended multi-adjoint logic programming
topic Logic in Computer Science
Logic
url https://arxiv.org/abs/2410.04794