PhD Position F/M A study of forcing and second-order abstract syntax in type theory
Contract type : Fixed-term contract
Level of qualifications required : Graduate degree or equivalent
Fonction : PhD Position
Context
The candidate will be cosupervised by Hugo Herbelin in Paris and Ambrus Kaposi in Budapest.
Travel expenses will be covered within the limits of the scale in force.
Assignment
The objective of the PhD is to study, design and implement variants of type theory with native support for second-order binder and modalities.
Main activities
The PhD is in collaboration between Paris and Budapest with stays alternating in both locations. The PhD work will notably consist in:
- bibliography work;
- (possibly) attend some additional graduate courses to complement the curriculum;
- regular working sessions with the supervisors;
- contribute to the scientific life of the lab (seminar, working groups and lab meetings, ...);
- writing of reports and publications, presentation at seminars and conferences;
- possibly, teaching assistantship;
- possibly participate to a young research school during the course of the PhD;
- writing of the thesis manuscript and defense of the thesis;
Skills
Technical skills and level required: master in mathematics or theoretical computer science
Languages: proof assistants (Rocq, Lean, Agda, Isabelle, ...)
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 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
General Information
- Theme/Domain :
Proofs and Verification
Software engineering (BAP E) - Town/city : Paris
- Inria Center : Centre Inria de Paris
- Starting date : 2026-10-01
- Duration of contract : 3 years
- Deadline to apply : 2026-09-02
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 : PICUBE
-
PhD Supervisor :
Herbelin Hugo / Hugo.Herbelin@inria.fr
The keys to success
Motivation for the job.
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.