Using linear constraints for logic program termination analysis

Author:

CALAUTTI MARCO,GRECO SERGIO,MOLINARO CRISTIAN,TRUBITSYNA IRINA

Abstract

AbstractIt is widely acknowledged that function symbols are an important feature in answer set programming, as they make modelling easier, increase the expressive power, and allow us to deal with infinite domains. The main issue with their introduction is that the evaluation of a program might not terminate and checking whether it terminates or not is undecidable. To cope with this problem, several classes of logic programs have been proposed where the use of function symbols is restricted but the program evaluation termination is guaranteed. Despite the significant body of work in this area, current approaches do not include many simple practical programs whose evaluation terminates. In this paper, we present the novel classes ofrule-boundedandcycle-bounded programs, which overcome different limitations of current approaches by performing a more global analysis of how terms are propagated from the body to the head of rules. Results on the correctness, the complexity, and the expressivity of the proposed approach are provided.

Publisher

Cambridge University Press (CUP)

Subject

Artificial Intelligence,Computational Theory and Mathematics,Hardware and Architecture,Theoretical Computer Science,Software

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Consistent query answering with prioritized active integrity constraints;Proceedings of the 24th Symposium on International Database Engineering & Applications;2020-08-12

2. Approximate Query Answering over Incomplete Data;Complex Pattern Mining;2020

3. Detecting Decidable Classes of Finitely Ground Logic Programs with Function Symbols;ACM Transactions on Computational Logic;2017-12-19

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