Trocq: Proof Transfer for Free, Beyond Equivalence and Univalence | Vidéo | Carmin.tv

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Trocq: Proof Transfer for Free, Beyond Equivalence and Univalence

Appears in collection : MALINCA Kick-off meeting

In this talk I present Trocq, a proof transfer framework for dependent type theory. Trocq is based on a novel formulation of type equivalence, used to generalize the univalent parametricity translation. This framework takes care of avoiding dependency on the axiom of univalence when possible, and may be used with more relations than just equivalences. We have implemented a corresponding plugin for the Rocq interactive theorem prover, in the Rocq-Elpi meta-language.

This is a joint work with Enzo Crance and Assia Mahboubi.

Information about the video

Date of recording 03/10/2025
Date of publication 15/12/2025
Institution IHP
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Mandarine Audiovisuel
Format MP4
Venue IHP - Hermite Amphitheater

Domain(s)

Logic in Computer Science

Bibliography

Cyril Cohen, Enzo Crance, Assia Mahboubi. Trocq: Proof Transfer for Free, Beyond Equivalence and Univalence. ACM Transactions on Programming Languages and Systems (TOPLAS), 2025, pp.1-40. ⟨10.1145/3737283⟩. ⟨hal-05192017⟩

MSC codes

68V15 Theorem proving (automated and interactive theorem provers, deduction, resolution, etc.)

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