PhD Position F/M Interoperability for Synthetic Mathematics in a Proof Assistant

PhD Position F/M Interoperability for Synthetic Mathematics in a Proof Assistant Download job offer in PDF format Contract type : Fixed-term contract Level of qualifications required : Graduate degree or equivalent Fonction : PhD Position About the research centre or Inria department The Inria Saclay-Île-de-France Research Centre was established in 2008. It has developed as part of the Saclay site in partnership with Paris-Saclay University and with the Institut Polytechnique de Paris . The centre has 40 project teams , 27 of which operate jointly with Paris-Saclay University and the Institut Polytechnique de Paris; Its activities occupy over 600 people, scientists and research and innovation support staff, including 44 different nationalities. Context The student will be located in the Deducteam of Inria Saclay, with regular research visits to the Cambium team at Inria Paris. Travel to conferences and summer schools is expected and funding is available. Assignment For a better knowledge of the proposed research subject : A state of the art, bibliography and scientific references are available at the following URL, do not hesitate to log in: https://theowinterhalter.github.io/ https://yforster.de/ https://golem.ph.utexas.edu/category/2015/02/introduction_to_synthetic_math.html Collaboration : The recruited person will be in connection with members of the teams Deducteam and Cambium. In particular they are expected to collaborate with Ewen Broudin--Caradec who is doing a PhD in Deducteam with Théo Winterhalter and Frédéric Blanqui, and Mathis Bouverot-Dupuis who is doing a PhD in Cambium with Yannick Forster and François Pottier. Responsibilities : The person recruited is responsible for conducting research on their PhD topic. Main activities Main activities (5 maximum) : • Write scientific papers to publish their results. • Formalise in Rocq (or another proof assistant) their results. • Work together with the advisors on concrete implementations of synthetic mathematics in one or several proof assistants, including experimental and widespread ones. • Attend conferences and summer schools to further their training as researcher. • Eventually write up and defend their PhD. Skills Technical skills and level required : Master-level in CS, specialised in formal methods. Languages : English fluency. Relational skills : Needs to be able to interact with people and share their work at conferences. Other valued appreciated : Ethics of research. Benefits package • Subsidized meals • Partial reimbursement of public transport costs • Leave: 7 weeks of annual leave + 10 extra days off due to RTT (statutory reduction in working hours) + possibility of exceptional leave (sick children, moving home, etc.) • Possibility of teleworking (after 6 months of employment) and flexible organization of working hours • Professional equipment available (videoconferencing, loan of computer equipment, etc.) • Social, cultural and sports events and activities • Access to vocational training • Social security coverage Remuneration Monthly gross salary: 2300€ Apply for this position Share • Facebook • Linkedin • Twitter • Email General Information • Theme/Domain : Proofs and Verification • Town/city : Gif-sur-Yvette • Inria Center : Centre Inria de Saclay • Starting date : 2026-09-01 • Duration of contract : 3 years • Deadline to apply : 2026-08-30 Warning : you must enter your e-mail address in order to save your application to Inria. Applications must be submitted online on the Inria website. Processing of applications sent from other channels is not guaranteed. Instruction to apply Defence Security : This position is likely to be situated in a restricted area (ZRR), as defined in Decree No. 2011-1425 relating to the protection of national scientific and technical potential (PPST).Authorisation to enter an area is granted by the director of the unit, following a favourable Ministerial decision, as defined in the decree of 3 July 2012 relating to the PPST. An unfavourable Ministerial decision in respect of a position situated in a ZRR would result in the cancellation of the appointment. Recruitment Policy : As part of its diversity policy, all Inria positions are accessible to people with disabilities. Contacts • Inria Team : DEDUCTEAM • PhD Supervisor : Winterhalter Theo / theo.winterhalter@inria.fr The keys to success We are looking for a student with competence in formal proofs, type theory, and logic. The candidate should have a strong background in proof assistant usage to understand the stakes at play, and to be able to perform the required tasks. Background in research, e.g. through internships, is preferred. About Inria Inria, the French national institute for research in digital science and technology, supports the French government in national research and innovation strategies in the digital field, acting as Digital Programs Agency. Inria leads over 300 research and innovation projects with its 3,500 scientists, engineers, and support staff, in partnership with universities and the digital ecosystem (businesses, entrepreneurs, and public stakeholders). Together, we explore strategic fields such as artificial intelligence, cybersecurity, quantum computing, cloud technologies, digital transformation in healthcare, digital twins, and digital technologies for defence. We develop practical solutions such as software, tech startups, partnerships with national companies, and cutting-edge training programmes. Our goal is to drive scientific, technological, and industrial excellence to ensure France’s digital sovereignty.