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Stable models for infinitary formulas with extensional atoms

Published online by Cambridge University Press:  14 October 2016

AMELIA HARRISON  and
VLADIMIR LIFSCHITZ
AMELIA HARRISON
Affiliation:
University of Texas, Austin, Texas, USA (e-mail: ameliaj@cs.utexas.edu, vl@cs.utexas.edu)
VLADIMIR LIFSCHITZ
Affiliation:
University of Texas, Austin, Texas, USA (e-mail: ameliaj@cs.utexas.edu, vl@cs.utexas.edu)
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Abstract

The definition of stable models for propositional formulas with infinite conjunctions and disjunctions can be used to describe the semantics of answer set programming languages. In this note, we enhance that definition by introducing a distinction between intensional and extensional atoms. The symmetric splitting theorem for first-order formulas is then extended to infinitary formulas and used to reason about infinitary definitions.

Type
Regular Papers
Information
Theory and Practice of Logic Programming , Volume 16 , Special Issue 5-6: 32nd International Conference on Logic Programming , September 2016 , pp. 771 - 786
Copyright
Copyright © Cambridge University Press 2016 

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