2026-07-22T05:24:20Z https://drops.dagstuhl.de/oai

oai:drops-oai.dagstuhl.de:7703 2024-03-06T10:40:47Z ddc:004 open_access

Inductive and Functional Types in Ludics Pavaux, Alice Ludics Inductive types Fixed point Linear logic Game semantics Ludics is a logical framework in which types/formulas are modelled by sets of terms with the same computational behaviour. This paper investigates 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. Schloss Dagstuhl – Leibniz-Zentrum für Informatik Alice Pavaux 2017 Is Part Of LIPIcs, Volume 82, 26th EACSL Annual Conference on Computer Science Logic (CSL 2017) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/LIPIcs.CSL.2017.34 urn:nbn:de:0030-drops-77035 https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2017.34 eng https://creativecommons.org/licenses/by/3.0/legalcode