Section: New Results

Interoperability

François Thiré has defined in Dedukti a constructive version of simple type theory with prenex polymorphism: STT${\forall }_{\beta \delta }$. This work has been published at the LFMTP workshop in [15]. STT${\forall }_{\beta \delta }$ has been used to encode an arithmetic library able to prove little Fermat's theorem. Then these proofs has been exported to different systems that are: Coq , Matita , Lean and OpenTheory . Gilles Dowek, César Muñoz, and François Thiré have developed a translation of STT${\forall }_{\beta \delta }$ to PVS .

Then, Walid Moustaoui and François Thiré have built a website called Logipedia which allows the user to inspect this arithmetic library and the user can download the proof of this theorem to one of the systems mentioned above.