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Communication Dans Un Congrès Année : 2024

Translating HOL-Light proofs to Coq

Résumé

We present a method and a tool, hol2dk, to fully automatically translate proofs from the proof assistant HOL-Light to the proof assistant Coq, by using Dedukti as an intermediate language. Moreover, a number of types, functions and predicates defined in HOL-Light are proved (by hand) to be equal to their counterpart in the Coq standard library. By replacing those types and functions by their Coq counterpart everywhere, we obtain a library of theorems (based on classical logic like HOL-Light) that can directly be used and applied in other Coq developments.

Dates et versions

hal-04613926 , version 1 (17-06-2024)

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Frédéric Blanqui. Translating HOL-Light proofs to Coq. LPAR-25 - 25th International Conference on Logic for Programming, Artificial Intelligence and Reasoning, May 2024, Balaclava, Mauritius. pp.1--18, ⟨10.29007/6k4x⟩. ⟨hal-04613926⟩
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