Conference Papers Year : 2022

SCL(EQ): SCL for First-Order Logic with Equality

Abstract

Abstract We propose a new calculus SCL(EQ) for first-order logic with equality that only learns non-redundant clauses. Following the idea of CDCL (Conflict Driven Clause Learning) and SCL (Clause Learning from Simple Models) a ground literal model assumption is used to guide inferences that are then guaranteed to be non-redundant. Redundancy is defined with respect to a dynamically changing ordering derived from the ground literal model assumption. We prove SCL(EQ) sound and complete and provide examples where our calculus improves on superposition.
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Dates and versions

hal-03881912 , version 1 (02-12-2022)

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Cite

Hendrik Leidinger, Christoph Weidenbach. SCL(EQ): SCL for First-Order Logic with Equality. IJCAR, International Joint Conference in Automated Reasoning, Aug 2022, Haifa, Israel. pp.228-247, ⟨10.1007/978-3-031-10769-6_14⟩. ⟨hal-03881912⟩
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