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Temporal Answer Set Programming on Finite Traces

Published online by Cambridge University Press:  10 August 2018

PEDRO CABALAR ,
ROLAND KAMINSKI ,
TORSTEN SCHAUB Open the ORCID record for TORSTEN SCHAUB [Opens in a new window]  and
ANNA SCHUHMANN
PEDRO CABALAR
Affiliation:
University of Corunna, Spain
ROLAND KAMINSKI
Affiliation:
University of Potsdam, Germany
TORSTEN SCHAUB
Affiliation:
University of Potsdam, Germany
ANNA SCHUHMANN
Affiliation:
University of Potsdam, Germany
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Abstract

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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)

Type
Rapid Communication
Information
Theory and Practice of Logic Programming , Volume 18 , Special Issue 3-4: 34th International Conference on Logic Programming , July 2018 , pp. 406 - 420
Copyright
Copyright © Cambridge University Press 2018 

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