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arXiv · 2504.06239

Canonical for Automated Theorem Proving in Lean

Chase Norman·Jeremy Avigad
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Abstract

Canonical is a solver for type inhabitation in dependent type theory, that is, the problem of producing a term of a given type. We present a Lean tactic which invokes Canonical to generate proof terms and synthesize programs. The tactic supports higher-order and dependently-typed goals, structural recursion over indexed inductive types, and definitional equality. Canonical finds proofs for 84% of Natural Number Game problems in 51 seconds total.

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Chase Norman, Jeremy Avigad. 2025-09-26. Canonical for Automated Theorem Proving in Lean. https://doi.org/10.4230/lipics.itp.2025.14

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