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Propositional theories are strongly equivalent to logic programs

Published online by Cambridge University Press:  01 November 2007

PEDRO CABALAR  and
PAOLO FERRARIS
PEDRO CABALAR
Affiliation:
Department of Computer Science, University of Corunna, Spain (e-mail: [email protected])
PAOLO FERRARIS
Affiliation:
Department of Computer Sciences, University of Texas, Austin, USA (e-mail: [email protected])
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Abstract

This paper presents a property of propositional theories under the answer sets semantics (called Equilibrium Logic for this general syntax): any theory can always be reexpressed as a strongly equivalent disjunctive logic program, possibly with negation in the head. We provide two different proofs for this result: one involving a syntactic transformation, and one that constructs a program starting from the countermodels of the theory in the intermediate logic of here-and-there.

Keywords

answer setsequilibrium logiclogic of here-and-therestrong equivalence
Type
Technical Note
Information
Theory and Practice of Logic Programming , Volume 7 , Issue 6 , November 2007 , pp. 745 - 759
Copyright
Copyright © Cambridge University Press 2007

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