Vicious Circle Principle and Logic Programs with Aggregates

Gelfond, Michael, Zhang, Yuanlin

arXiv.org Artificial Intelligence 

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.

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