Post-Doctoral Research Visit F/M Reasoning up to equivalent representations in proof assistants
- how to easily transfer results from a library to another when they use different definitions of the same concept?
- are there logical equations characterising the equivalences between the definitions of a given structure (e.g. boolean values vs decidable propositions, Peano numbers vs binary numbers, sequences as list vs sequences as functions, ...) ?
- automatic translation of inductive predicates into recursive predicates, as in RelExt (ref 3.)?
- how to strictify mathematical theories in a proof assistant (e.g. how to automatically reason modulo associativity, commutativity, identity, distributivity of operations or terms or types)?
- Trocq: Proof transfer for free, with or without univalence, Cyril Cohen, Enzo Crance, Assia Mahboubi
- Pragmatic isomorphism proofs between Coq representations: application to lambda-term families, Catherine Dubois, Nicolas Magaud, and Alain Giorgetti
- RelExt : Synthèse de code à partir de spécifications inductives, David Delahaye, Catherine Dubois, Pierre-Nicolas Tollitte
- Changing Data Representation within the Coq System, Nicolas Magaud
- Changing Data Structures in Type Theory:A Study of Natural Numbers, Nicolas Magaud and Yves Bertot
- 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
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