Isabelle's Metalogic: Formalization and Proof Checker

Tobias Nipkow 🌐 and Simon Roßkopf 🌐

April 27, 2021

Abstract

In this entry we formalize Isabelle's metalogic in Isabelle/HOL. Furthermore, we define a language of proof terms and an executable proof checker and prove its soundness wrt. the metalogic. The formalization is intentionally kept close to the Isabelle implementation(for example using de Brujin indices) to enable easy integration of generated code with the Isabelle system without a complicated translation layer. The formalization is described in our CADE 28 paper.

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BSD License

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Session Metalogic_ProofChecker

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× 
@article{Metalogic_ProofChecker-AFP,
  author  = {Tobias Nipkow and Simon Roßkopf},
  title   = {Isabelle's Metalogic: Formalization and Proof Checker},
  journal = {Archive of Formal Proofs},
  month   = {April},
  year    = {2021},
  note    = {\url{https://isa-afp.org/entries/Metalogic_ProofChecker.html},
            Formal proof development},
  ISSN    = {2150-914x},
}
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