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Relating Two Dialects of Answer Set Programming

Published online by Cambridge University Press:  20 September 2019

AMELIA HARRISON  and
VLADIMIR LIFSCHITZ Open the ORCID record for VLADIMIR LIFSCHITZ [Opens in a new window]
AMELIA HARRISON
Affiliation:
Google (e-mail: [email protected])
VLADIMIR LIFSCHITZ
Affiliation:
University of Texas at Austin (e-mail: [email protected])
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Abstract

The input language of the answer set solver clingo is based on the definition of a stable model proposed by Paolo Ferraris. The semantics of the ASP-Core language, developed by the ASP Standardization Working Group, uses the approach to stable models due to Wolfgang Faber, Nicola Leone, and Gerald Pfeifer. The two languages are based on different versions of the stable model semantics, and the ASP-Core document requires, “for the sake of an uncontroversial semantics,” that programs avoid the use of recursion through aggregates. In this paper we prove that the absence of recursion through aggregates does indeed guarantee the equivalence between the two versions of the stable model semantics, and show how that requirement can be relaxed without violating the equivalence property.

Keywords

Answer set programminganswer set solversstable modelsaggregates
Type
Original Article
Information
Theory and Practice of Logic Programming , Volume 19 , Special Issue 5-6: 35th International Conference on Logic Programming , September 2019 , pp. 1006 - 1020
Copyright
© Cambridge University Press 2019 

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