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Apply2Isar: Automatically Converting Isabelle/HOL Apply-Style Proofs to Structured Isar

arXiv CS Tuesday 02 June 2026, 04:00 UTC By Sage Binder, Hanna Lachnitt, Katherine Kosaian 1 min read
Key Points

Announce Type: replace Abstract: In Isabelle/HOL, declarative proofs written in the Isar language are widely appreciated for their readability and robustness. However, some users may prefer writing procedural "apply-style" proof scripts since they enable rapid exploration of the search space. To get the best of both worlds, we introduce Apply2Isar, a tool for Isabelle/HOL that automatically converts apply-style scripts to declarative Isar.

arXiv:2603.07771v2 Announce Type: replace Abstract: In Isabelle/HOL, declarative proofs written in the Isar language are widely appreciated for their readability and robustness. However, some users may prefer writing procedural "apply-style" proof scripts since they enable rapid exploration of the search space. To get the best of both worlds, we introduce Apply2Isar, a tool for Isabelle/HOL that automatically converts apply-style scripts to declarative Isar. This allows users to write complex, possibly fragile apply-style scripts, and then automatically convert them to more readable and robust declarative Isar proofs. To demonstrate the efficacy of Apply2Isar in practice, we evaluate it on a large benchmark set consisting of apply-style proofs from the Isabelle Archive of Formal Proofs.
Structured Isar arXiv:2603.07771v2 (PERSON) Isar (PERSON) Apply2Isar (PERSON) Isabelle/HOL (LOCATION)
Originally published by arXiv CS Read original →

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