A Comprehensive Framework for Saturation Theorem Proving.

Automated theorem proving Prover architectures Redundancy Resolution calculus Saturation Superposition calculus

Journal

Journal of automated reasoning
ISSN: 1573-0670
Titre abrégé: J Autom Reason
Pays: Netherlands
ID NLM: 101730032

Informations de publication

Date de publication:
2022
Historique:
received: 28 05 2021
accepted: 21 03 2022
entrez: 10 11 2022
pubmed: 11 11 2022
medline: 11 11 2022
Statut: ppublish

Résumé

A crucial operation of saturation theorem provers is deletion of subsumed formulas. Designers of proof calculi, however, usually discuss this only informally, and the rare formal expositions tend to be clumsy. This is because the equivalence of dynamic and static refutational completeness holds only for derivations where all deleted formulas are redundant, but the standard notion of redundancy is too weak: A clause

Identifiants

pubmed: 36353684
doi: 10.1007/s10817-022-09621-7
pii: 9621
pmc: PMC9637109
doi:

Types de publication

Journal Article

Langues

eng

Pagination

499-539

Informations de copyright

© The Author(s) 2022.

Auteurs

Uwe Waldmann (U)

Max-Planck-Institut für Informatik, Saarland Informatics Campus, Saarbrücken, Germany.

Sophie Tourret (S)

Max-Planck-Institut für Informatik, Saarland Informatics Campus, Saarbrücken, Germany.
Université de Lorraine, CNRS, Inria, LORIA, Nancy, France.

Simon Robillard (S)

LIRMM, Université de Montpellier, CNRS, Montpellier, France.

Jasmin Blanchette (J)

Max-Planck-Institut für Informatik, Saarland Informatics Campus, Saarbrücken, Germany.
Université de Lorraine, CNRS, Inria, LORIA, Nancy, France.
Vrije Universiteit Amsterdam, Amsterdam, the Netherlands.

Classifications MeSH