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Stable models for infinitary formulas with extensional atoms

Published online by Cambridge University Press:  14 October 2016

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)
Corresponding

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.

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Regular Papers
Copyright
Copyright © Cambridge University Press 2016 

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References

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