Conference Papers Year : 2022

An Efficient Subsumption Test Pipeline for BS(LRA) Clauses

Abstract

The importance of subsumption testing for redundancy elimination in first-order logic automatic reasoning is well-known. Although the problem is already NP-complete for first-order clauses, the meanwhile developed test pipelines efficiently decide subsumption in almost all practical cases. We consider subsumption between first-oder clauses of the Bernays-Schönfinkel fragment over linear real arithmetic constraints: BS(LRA). The bottleneck in this setup is deciding implication between the LRA constraints of two clauses. Our new sample point heuristic preempts expensive implication decisions in about 94% of all cases in benchmarks. Combined with filtering techniques for the first-order BS part of clauses, it results again in an efficient subsumption test pipeline for BS(LRA) clauses.
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Dates and versions

hal-03881893 , version 1 (02-12-2022)

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Martin Bromberger, Lorenz Leutgeb, Christoph Weidenbach. An Efficient Subsumption Test Pipeline for BS(LRA) Clauses. IJCAR 2022 - International Joint Conference in Automated Reasoning, Aug 2022, Haifa, Israel. pp.147-168, ⟨10.1007/978-3-031-10769-6_10⟩. ⟨hal-03881893⟩
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