Deductive Systems for Logic Programs with Counting

Fuente: arXiv
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Autores principales: Fandinno, Jorge, Lifschitz, Vladimir
Formato: Preprint
Publicado: 2025
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author Fandinno, Jorge
Lifschitz, Vladimir
author_facet Fandinno, Jorge
Lifschitz, Vladimir
contents In answer set programming, two groups of rules are considered strongly equivalent if they have the same meaning in any context. Strong equivalence of two programs can be sometimes established by deriving rules of each program from rules of the other in an appropriate deductive system. This paper shows how to extend this method of proving strong equivalence to programs containing the counting aggregate.
format Preprint
id arxiv_https___arxiv_org_abs_2511_19565
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Deductive Systems for Logic Programs with Counting
Fandinno, Jorge
Lifschitz, Vladimir
Logic in Computer Science
Artificial Intelligence
In answer set programming, two groups of rules are considered strongly equivalent if they have the same meaning in any context. Strong equivalence of two programs can be sometimes established by deriving rules of each program from rules of the other in an appropriate deductive system. This paper shows how to extend this method of proving strong equivalence to programs containing the counting aggregate.
title Deductive Systems for Logic Programs with Counting
topic Logic in Computer Science
Artificial Intelligence
url https://arxiv.org/abs/2511.19565