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Exploiting Instantiations from Paramodulation Proofs in Isabelle/HOL

  • University Hospital Augsburg
  • Ludwig-Maximilians-Universität München

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

Metis is an ordered paramodulation prover built into the Isabelle/HOL proof assistant. It attempts to close the current goal using a given list of lemmas. Typically these lemmas are found by Sledgehammer, a tool that integrates external automatic provers. We present a new tool that analyzes successful Metis proofs to derive variable instantiations. These increase Sledgehammer’s success rate, improve the speed of Sledgehammer-generated proofs, and help users understand why a goal follows from the lemmas.

Original languageEnglish
Title of host publicationAutomated Deduction - CADE 30 - 30th International Conference on Automated Deduction, 2025, Proceedings
EditorsClark Barrett, Uwe Waldmann
PublisherSpringer Science and Business Media Deutschland GmbH
Pages573-593
Number of pages21
ISBN (Print)9783031999833
DOIs
StatePublished - 2025
Event30th International Conference on Automated Deduction, CADE 2025 - Stuttgart, Germany
Duration: 28 Jul 202531 Jul 2025

Publication series

NameLecture Notes in Computer Science
Volume15943 LNAI
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference30th International Conference on Automated Deduction, CADE 2025
Country/TerritoryGermany
CityStuttgart
Period28/07/2531/07/25

Keywords

  • Isabelle/HOL
  • Sledgehammer
  • instantiations
  • paramodulation

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