A framework for Conditional Reasoning in Answer Set Programming

Fuente: arXiv
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Hauptverfasser: Alviano, Mario, Giordano, Laura, Dupré, Daniele Theseider
Format: Preprint
Veröffentlicht: 2025
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author Alviano, Mario
Giordano, Laura
Dupré, Daniele Theseider
author_facet Alviano, Mario
Giordano, Laura
Dupré, Daniele Theseider
contents In this paper we introduce a Conditional Answer Set Programming framework (Conditional ASP) for the definition of conditional extensions of Answer Set Programming (ASP). The approach builds on a conditional logic with typicality, and on the combination of a conditional knowledge base with an ASP program, and allows for conditional reasoning over the answer sets of the program. The formalism relies on a multi-preferential semantics, and on the KLM preferential semantics, as a special case. Conditional entailment is encoded in ASP and a complexity upper-bound is provided.
format Preprint
id arxiv_https___arxiv_org_abs_2506_03997
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A framework for Conditional Reasoning in Answer Set Programming
Alviano, Mario
Giordano, Laura
Dupré, Daniele Theseider
Artificial Intelligence
Logic in Computer Science
In this paper we introduce a Conditional Answer Set Programming framework (Conditional ASP) for the definition of conditional extensions of Answer Set Programming (ASP). The approach builds on a conditional logic with typicality, and on the combination of a conditional knowledge base with an ASP program, and allows for conditional reasoning over the answer sets of the program. The formalism relies on a multi-preferential semantics, and on the KLM preferential semantics, as a special case. Conditional entailment is encoded in ASP and a complexity upper-bound is provided.
title A framework for Conditional Reasoning in Answer Set Programming
topic Artificial Intelligence
Logic in Computer Science
url https://arxiv.org/abs/2506.03997