Weighted Rules under the Stable Model Semantics

Fuente: arXiv
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Autores principales: Lee, Joohyung, Wang, Yi
Formato: Preprint
Publicado: 2026
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author Lee, Joohyung
Wang, Yi
author_facet Lee, Joohyung
Wang, Yi
contents We introduce the concept of weighted rules under the stable model semantics following the log-linear models of Markov Logic. This provides versatile methods to overcome the deterministic nature of the stable model semantics, such as resolving inconsistencies in answer set programs, ranking stable models, associating probability to stable models, and applying statistical inference to computing weighted stable models. We also present formal comparisons with related formalisms, such as answer set programs, Markov Logic, ProbLog, and P-log.
format Preprint
id arxiv_https___arxiv_org_abs_2605_09519
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Weighted Rules under the Stable Model Semantics
Lee, Joohyung
Wang, Yi
Artificial Intelligence
Logic in Computer Science
We introduce the concept of weighted rules under the stable model semantics following the log-linear models of Markov Logic. This provides versatile methods to overcome the deterministic nature of the stable model semantics, such as resolving inconsistencies in answer set programs, ranking stable models, associating probability to stable models, and applying statistical inference to computing weighted stable models. We also present formal comparisons with related formalisms, such as answer set programs, Markov Logic, ProbLog, and P-log.
title Weighted Rules under the Stable Model Semantics
topic Artificial Intelligence
Logic in Computer Science
url https://arxiv.org/abs/2605.09519