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Updates in answer set programming: An approach based on basic structural properties

Published online by Cambridge University Press:  01 July 2007

MAURICIO OSORIO  and
VÍCTOR CUEVAS
MAURICIO OSORIO
Affiliation:
Universidad de las Américas Puebla, Sta. Catarina Mártir, Cholula, Puebla, 72820, México (e-mail: osoriomauri@gmail.com, victorcuevasv@gmail.com
VÍCTOR CUEVAS
Affiliation:
Universidad de las Américas Puebla, Sta. Catarina Mártir, Cholula, Puebla, 72820, México (e-mail: osoriomauri@gmail.com, victorcuevasv@gmail.com
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Abstract

We have studied the update operator ⊕1 defined for update sequences by Eiter et al. without tautologies and we have observed that it satisfies an interesting property. This property, which we call Weak Independence of Syntax (WIS), is similar to one of the postulates proposed by Alchourrón, Gärdenfors, and Makinson (AGM); only that in this case it applies to nonmonotonic logic. In addition, we consider other five additional basic properties about update programs and we show that ⊕1 satisfies them. This work continues the analysis of the AGM postulates with respect to the ⊕1 operator under a refined view that considers N2 as a monotonic logic which allows us to expand our understanding of answer sets. Moreover, N2 helped us to derive an alternative definition of ⊕1 avoiding the use of unnecessary extra atoms.

Keywords

answer set programmingN2 logicupdate programsstrong negationAGM postulates
Type
Regular Papers
Information
Theory and Practice of Logic Programming , Volume 7 , Issue 4 , July 2007 , pp. 451 - 479
Copyright
Copyright © Cambridge University Press 2007

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