ResearchTrend.AI
  • Papers
  • Communities
  • Events
  • Blog
  • Pricing
Papers
Communities
Social Events
Terms and Conditions
Pricing
Parameter LabParameter LabTwitterGitHubLinkedInBlueskyYoutube

© 2025 ResearchTrend.AI, All rights reserved.

  1. Home
  2. Papers
  3. 2208.08157
18
0

On Establishing Robust Consistency in Answer Set Programs

17 August 2022
Andre Thevapalan
G. Kern-Isberner
ArXiv (abs)PDFHTML
Abstract

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\mathcal{P}P remains non-contradictory given any allowed set of such input data. For that, we introduce the notion of conflict-resolving λ\lambdaλ- extensions. A conflict-resolving λ\lambdaλ-extension for a conflicting rule rrr is a set λ\lambdaλ of (default) literals such that extending the body of rrr by λ\lambdaλ resolves all conflicts of rrr at once. We investigate the properties that suitable λ\lambdaλ-extensions should possess and building on that, we develop a strategy to compute all such conflict-resolving λ\lambdaλ-extensions for each conflicting rule in P\mathcal{P}P. We show that by implementing a conflict resolution process that successively resolves conflicts using λ\lambdaλ-extensions eventually yields a program that remains non-contradictory given any allowed set of input data.

View on arXiv
Comments on this paper