Temporal Answer Set Programming on Finite Traces. Issue 3 (10th August 2018)

• Record Type: Journal Article
• Authors: CABALAR, PEDRO; KAMINSKI, ROLAND; SCHAUB, TORSTEN; SCHUHMANN, ANNA
• Editors: Dal Palu, Alessandro; Tarau, Paul
• Is Part Of: Theory and practice of logic programming. Volume 18:Issue 3/4(2018)
• Page Start: 406
• Page End: 420
• Publication Date: 2018-08-10
• Subjects: Logic programming -- Periodicals; Artificial intelligence -- Computer programs -- Periodicals; Constraint programming (Computer science) -- Periodicals; 005.115
• DOI: 10.1017/S1471068418000297
• Languages: English
• ISSNs: 1471-0684

Abstract

Abstract: In this paper, we introduce an alternative approach to Temporal Answer Set Programming that relies on a variation of Temporal Equilibrium Logic (TEL) for finite traces. This approach allows us to even out the expressiveness of TEL over infinite traces with the computational capacity of (incremental) Answer Set Programming (ASP). Also, we argue that finite traces are more natural when reasoning about action and change. As a result, our approach is readily implementable via multi-shot ASP systems and benefits from an extension of ASP's full-fledged input language with temporal operators. This includes future as well as past operators whose combination offers a rich temporal modeling language. For computation, we identify the class of temporal logic programs and prove that it constitutes a normal form for our approach. Finally, we outline two implementations, a generic one and an extension of the ASP system clingo . Under consideration for publication in Theory and Practice of Logic Programming (TPLP)