Innocent Game Semantics via Intersection Type Assignment Systems

Authors Pietro Di Gianantonio, Marina Lenisa

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Pietro Di Gianantonio
Marina Lenisa

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Pietro Di Gianantonio and Marina Lenisa. Innocent Game Semantics via Intersection Type Assignment Systems. In Computer Science Logic 2013 (CSL 2013). Leibniz International Proceedings in Informatics (LIPIcs), Volume 23, pp. 231-247, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2013)


The aim of this work is to correlate two different approaches to the semantics of programming languages: game semantics and intersection type assignment systems (ITAS). Namely, we present an ITAS that provides the description of the semantic interpretation of a typed lambda calculus in a game model based on innocent strategies. Compared to the traditional ITAS used to describe the semantic interpretation in domain theoretic models, the ITAS presented in this paper has two main differences: the introduction of a notion of labelling on moves, and the omission of several rules, i.e. the subtyping rules and some structural rules.
  • Game Semantics
  • Intersection Type Assignment System
  • Lambda Calculus


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