• The Inria's Research Teams produce an annual Activity Report presenting their activities and their results of the year. These reports include the team members, the scientific program, the software developed by the team and the new results of the year. The report also describes the grants, contracts and the activities of dissemination and teaching. Finally, the report gives the list of publications of the year.

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## 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.