Proceedings

Backdoors to Abduction

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Proceedings of the Twenty-Third International Joint Conference on Artificial Intelligence. Pages 1046-1051.

Abstract

Abductive reasoning (or Abduction, for short) is among the most fundamental AI reasoning methods, with a broad range of applications, including fault diagnosis, belief revision, and automated planning. Unfortunately, Abduction is of high computational complexity; even propositional Abduction is Σ2P-complete and thus harder than NP and coNP. This complexity barrier rules out the existence of a polynomial transformation to propositional satisfiability (SAT). In this work we use structural properties of the Abduction instance to break this complexity barrier. We utilize the problem structure in terms of small backdoor sets. We present fixed-parameter tractable transformations from Abduction to SAT, which make the power of today's SAT solvers available to Abduction.

Andreas Pfandler, Stefan Rümmele, and Stefan Szeider. 2013. Backdoors to Abduction. In Proceedings of the Twenty-Third International Joint Conference on Artificial Intelligence, IJCAI-13. IJCAI, 1046–1051. https://ijcai.org/proceedings/2013/159
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