Towards Metric Temporal Answer Set Programming. Issue 5 (September 2020)

• Record Type: Journal Article
• Authors: CABALAR, PEDRO; DIÉGUEZ, MARTÍN; SCHAUB, TORSTEN; SCHUHMANN, ANNA
• Is Part Of: Theory and practice of logic programming. Volume 20:Issue 5(2020)
• Page Start: 783
• Page End: 798
• Publication Date: 2020-09
• Subjects: Logic programming -- Periodicals; Artificial intelligence -- Computer programs -- Periodicals; Constraint programming (Computer science) -- Periodicals; 005.115
• DOI: 10.1017/S1471068420000307
• Languages: English
• ISSNs: 1471-0684

Abstract

Abstract: We elaborate upon the theoretical foundations of a metric temporal extension of Answer Set Programming. In analogy to previous extensions of ASP with constructs from Linear Temporal and Dynamic Logic, we accomplish this in the setting of the logic of Here-and-There and its non-monotonic extension, called Equilibrium Logic. More precisely, we develop our logic on the same semantic underpinnings as its predecessors and thus use a simple time domain of bounded time steps. This allows us to compare all variants in a uniform framework and ultimately combine them in a common implementation.