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arXiv · 1907.10389

Inconsistency Proofs for ASP: The ASP-DRUPE Format

Mario Alviano·Carmine Dodaro·Johannes K. Fichte·Markus Hecher·Tobias Philipp·Jakob Rath
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Abstract

Answer Set Programming (ASP) solvers are highly-tuned and complex procedures that implicitly solve the consistency problem, i.e., deciding whether a logic program admits an answer set. Verifying whether a claimed answer set is formally a correct answer set of the program can be decided in polynomial time for (normal) programs. However, it is far from immediate to verify whether a program that is claimed to be inconsistent, indeed does not admit any answer sets. In this paper, we address this problem and develop the new proof format ASP-DRUPE for propositional, disjunctive logic programs, including weight and choice rules. ASP-DRUPE is based on the Reverse Unit Propagation (RUP) format designed for Boolean satisfiability. We establish correctness of ASP-DRUPE and discuss how to integrate it into modern ASP solvers. Later, we provide an implementation of ASP-DRUPE into the wasp solver for normal logic programs. This work is under consideration for acceptance in TPLP.

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Mario Alviano, Carmine Dodaro, Johannes K. Fichte, Markus Hecher, Tobias Philipp, Jakob Rath. 2019-07-24. Inconsistency Proofs for ASP: The ASP-DRUPE Format. https://arxiv.org/abs/1907.10389

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