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PhD Position F/M Study and formalisation of algebraic structures hierarchies in proof assistants

Company

INRIA

Location

Paris, Île-de-France

Posted

July 09, 2026

Position Overview

Contexte et atouts du poste
The candidate will be a member of the IMJ-PRG lab, a member of the Picube team at the IRIF lab, and a member of the Malinca project.

Travel expenses will be covered within the limits of the scale in force.
Mission confiée
The recruited person will prepare their PhD under the direction of Riccardo Brasca (IMG-PRJ) in cosupervision with Hugo Herbelin and Sarah Reboullet (IRIF).

The objective of the PhD is to study, design and implement algebraic structures hierarchies in proof assistants. It will include:
an empirical analysis of the use of algebraic structures hierarchies in Mathlib (Lean) and Mathcomp (Rocq), as well as in other systems;

the design and study of algebraic structures hierarchies, ensuring properties by construction and possibly supporting reasoning modulo representation;

implementation of algebraic structures hierarchies.
Princ...
        

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