2022/08/17 by Andre Thevapalan, Thevapalan, Andre, Gabriele Kern-Isberner +1
Computer Science · #Artificial Intelligence (cs.AI) #FOS: Computer and information sciences #Logic, Reasoning, and Knowledge #Logic, programming, and type systems #Multi-Agent Systems and Negotiation
paper · pdf · doi:10.48550/arxiv.2208.08157
openalex publication_date 2022/08/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Answer set programs used in real-world applications often require that the program is usable with different input data. This, however, can often lead to contradictory statements and consequently to an inconsistent program. Causes for potential contradictions in a program are conflicting rules. In this paper, we show how to ensure that a program P remains non-contradictory given any allowed set of such input data. For that, we introduce the notion of conflict-resolving λ- extensions. A conflict-resolving λ-extension for a conflicting rule r is a set λ of (default) literals such that extending the body of r by λ resolves all conflicts of r at once. We investigate the properties that suitable λ-extensions should possess and building on that, we develop a strategy to compute all such conflict-resolving λ-extensions for each conflicting rule in P. We show that by implementing a conflict resolution process that successively resolves conflicts using λ-extensions eventually yields a program that remains non-contradictory given any allowed set of input data.