A Formalization and Proof Checker for Isabelle’s Metalogic

Simon Roßkopf; Tobias Nipkow

doi:10.1007/s10817-022-09648-w

A Formalization and Proof Checker for Isabelle’s Metalogic

Simon Roßkopf
, Tobias Nipkow

Informatics 7 - Chair of Theoretical Computer Science

Technical University of Munich

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Isabelle is a generic theorem prover with a fragment of higher-order logic as a metalogic for defining object logics. Isabelle also provides proof terms. We formalize this metalogic and the language of proof terms in Isabelle/HOL, define an executable (but inefficient) proof term checker and prove its correctness w.r.t. the metalogic. We integrate the proof checker with Isabelle and run it on a range of logics and theories to check the correctness of all the proofs in those theories.

Original language	English
Article number	1
Journal	Journal of Automated Reasoning
Volume	67
Issue number	1
DOIs	https://doi.org/10.1007/s10817-022-09648-w
State	Published - Mar 2023

Keywords

Higher-order logic
Isabelle
Metalogic
Proofchecker
Theorem proving

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10.1007/s10817-022-09648-w

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KW - Metalogic

KW - Proofchecker

KW - Theorem proving

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A Formalization and Proof Checker for Isabelle’s Metalogic

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