26 Juin - 2 Juillet

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Vendredi 30 Juin
Heure: 11:00 - 12:30
Lieu: Salle B107, bâtiment B, Université de Villetaneuse
Résumé: Inductive and Functional Types in Ludics
Description: Alice Pavaux Ludics is a logical framework in which types/formulas are modelled by sets of terms with the same computational behaviour. We investigate the representation of inductive data types and functional types in ludics. We study their structure following a game semantics approach. Inductive types are interpreted as least fixed points, and we prove an internal completeness result giving an explicit construction for such fixed points. The interactive properties of the ludics interpretation of inductive and functional types are then studied. In particular, we identify which higher-order functions types fail to satisfy type safety, and we give a computational explanation.