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A Curiously Effective Backtracking Strategy for Connection Tableaux

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arxiv 2106.13722 v2 pith:76EDYNAX submitted 2021-06-25 cs.LO

A Curiously Effective Backtracking Strategy for Connection Tableaux

classification cs.LO
keywords strategybacktrackingcompletenessconnectionleancopottenproofprover
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Automated proof search with connection tableaux, such as implemented by Otten's leanCoP prover, depends on backtracking for completeness. Otten's restricted backtracking strategy loses completeness, yet for many problems, it significantly reduces the time required to find a proof. I introduce a new, less restricted backtracking strategy based on the notion of exclusive cuts. I implement the strategy in a new prover called meanCoP and show that it greatly improves upon the previous best strategy in leanCoP.

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