Objective Parametric polymorphism is an ubiquitous paradigm in programming. It permits writing generic algorithms that can be usedon several datatypes, thus reducing the duplication of code and producing safer software. System F is a very simplepolymorphic programming language suited to the theoretical study of polymorphism. From the point of view of mathematicallogic, System F corresponds to the theory of second-order Peano arithmetic (PA2), which in turn is a sub-theory of first-orderPeano arithmetic with the axiom of countable choice (PA-AC). On the other hand, PA-AC can be computationally interpretedusing the non-polymorphic programming language System T extended with the bar recursion operator (System TBR).The PolyBar project will turn the logical translation of PA2 to PA-AC into a computational translation from System F toSystem TBR. This translation will improve the state-of-the-art by extending the use of well-known proof techniques to polymorphic programming languages and promote the use of these languages in environments where safety is important, like medical software or autonomous car systems. Computer programmers will be able to use the sophisticated features of polymorphism and still prove correctness properties on their programs.The PolyBar project will be carried out by the experienced researcher who worked during his PhD thesis on computationalinterpretations of PA-AC using System TBR, and recently gave the first connections with PA2 and System F. Theexperienced researcher will collaborate with a supervisor who has a strong background in type theories (including System F)and in correspondences between various mathematical theories and programming languages. Working in France, whereSystem F was discovered and is still a subject of intense research by many experts in the field, the experienced researcherwill make the beneficiary benefit from his experience in the UK, which has a strong community on recursion theory and denotational semantics. Fields of science engineering and technologymechanical engineeringvehicle engineeringautomotive engineeringautonomous vehiclesnatural sciencescomputer and information sciencessoftwarenatural sciencesmathematicspure mathematicsdiscrete mathematicsmathematical logicnatural sciencesmathematicspure mathematicsarithmetics Keywords lambda-calculus realizability bar recursion Programme(s) H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions Main Programme H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility Topic(s) MSCA-IF-2017 - Individual Fellowships Call for proposal H2020-MSCA-IF-2017 See other projects for this call Funding Scheme MSCA-IF - Marie Skłodowska-Curie Individual Fellowships (IF) Coordinator UNIVERSITE PARIS CITE Net EU contribution € 185 076,00 Address 85 BD SAINT GERMAIN 75006 Paris France See on map Region Ile-de-France Ile-de-France Paris Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Total cost € 185 076,00