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Exporting an Arithmetic Library from Dedukti to HOL

François Thiré 1, 2 
Abstract : Today, we observe a large diversity of proof systems. This diversity has the negative consequence that a lot of theorems are proved many times. Unlike programming languages, it is difficult for these systems to cooperate because they do not implement the same logic. Logical frameworks are a class of theorems provers that overcome this issue by their capacity of implementing various logics. In this work, we study the STT∀ βδ logic, an extension of the Simple Type Theory that has been encoded in the logical framework Dedukti. We show that this new logic is a good candidate to export proofs to other provers. As an example, we show how this logic has been encoded into Dedukti and how we used it to export proofs to the HOL family provers via OpenTheory.
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Submitted on : Tuesday, December 19, 2017 - 10:40:49 PM
Last modification on : Friday, February 4, 2022 - 3:12:03 AM


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  • HAL Id : hal-01668250, version 1


François Thiré. Exporting an Arithmetic Library from Dedukti to HOL. 2017. ⟨hal-01668250⟩



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