Constraint Learning for Non-confluent Proof Search

Fuente: arXiv
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Hauptverfasser: Rawson, Michael, Eisenhofer, Clemens, Kovács, Laura
Format: Preprint
Veröffentlicht: 2026
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author Rawson, Michael
Eisenhofer, Clemens
Kovács, Laura
author_facet Rawson, Michael
Eisenhofer, Clemens
Kovács, Laura
contents Proof search in non-confluent tableau calculi, such as the connection tableau calculus, suffers from excess backtracking, but simple restrictions on backtracking are incomplete. We adopt constraint learning to reduce backtracking in the classical first-order connection calculus, while retaining completeness. An initial constraint learning language for connection-driven search is iteratively refined to greatly reduce backtracking in practice. The approach may be useful for proof search in other non-confluent tableau calculi.
format Preprint
id arxiv_https___arxiv_org_abs_2603_05258
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Constraint Learning for Non-confluent Proof Search
Rawson, Michael
Eisenhofer, Clemens
Kovács, Laura
Logic in Computer Science
Proof search in non-confluent tableau calculi, such as the connection tableau calculus, suffers from excess backtracking, but simple restrictions on backtracking are incomplete. We adopt constraint learning to reduce backtracking in the classical first-order connection calculus, while retaining completeness. An initial constraint learning language for connection-driven search is iteratively refined to greatly reduce backtracking in practice. The approach may be useful for proof search in other non-confluent tableau calculi.
title Constraint Learning for Non-confluent Proof Search
topic Logic in Computer Science
url https://arxiv.org/abs/2603.05258