Exporting an Arithmetic Library from Dedukti to HOL - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2017

Exporting an Arithmetic Library from Dedukti to HOL

Exporter une librairie d'arithmétique depuis Dedukti vers HOL

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.
Fichier principal
Vignette du fichier
sttforall-fscd.pdf (528.3 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01668250 , version 1 (19-12-2017)

Identifiers

  • HAL Id : hal-01668250 , version 1

Cite

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

Share

Gmail Facebook X LinkedIn More