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Forgetting for Answer Set Programs Revisited

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Proceedings of the Twenty-Third International Joint Conference on Artificial Intelligence. Pages 1162-1167.

Abstract

A new semantic forgetting for answer set programs (ASP), called SM-forgetting, is proposed in the paper.It distinguishes itself from the others in that it preserves not only skeptical and credulous consequences on unforgotten variables, but also strong equivalence — forgetting same variables in strongly equivalent logic programs has strongly equivalent results. The forgetting presents a positive answer to Gabbay, Pearce and Valverde's open question — if ASP has uniform interpolation property. We also investigate some properties, algorithm and computational complexities for the forgetting. It shows that computing the forgetting result is generally intractable even for Horn logic programs.

Yisong Wang, Kewen Wang, and Mingyi Zhang. 2013. Forgetting for Answer Set Programs Revisited. In Proceedings of the Twenty-Third International Joint Conference on Artificial Intelligence, IJCAI-13. IJCAI, 1162–1167. https://ijcai.org/proceedings/2013/175
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