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Vicious Circle Principle and Logic Programs with Aggregates

Published online by Cambridge University Press:  21 July 2014

MICHAEL GELFOND  and
YUANLIN ZHANG
MICHAEL GELFOND
Affiliation:
Texas Tech University, Lubbock, Texas 79414, USA (email: michael.gelfond@ttu.edu, y.zhang@ttu.edu)
YUANLIN ZHANG
Affiliation:
Texas Tech University, Lubbock, Texas 79414, USA (email: michael.gelfond@ttu.edu, y.zhang@ttu.edu)
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Abstract

The paper presents a knowledge representation language $\mathcal{A}log$ which extends ASP with aggregates. The goal is to have a language based on simple syntax and clear intuitive and mathematical semantics. We give some properties of $\mathcal{A}log$, an algorithm for computing its answer sets, and comparison with other approaches.

Keywords

AggregatesAnswer Set Programming
Type
Regular Papers
Information
Theory and Practice of Logic Programming , Volume 14 , Special Issue 4-5: 30th International Conference on Logic Programming , July 2014 , pp. 587 - 601
Copyright
Copyright © Cambridge University Press 2014 

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Vicious Circle Principle and Logic Programs with Aggregates

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