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Game Semantics for the Pure Lazy λ-Calculus

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Typed Lambda Calculi and Applications (TLCA 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2044))

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Abstract

In this paper we present a fully abstract game model for the pure lazy λ-calculus, i.e. the lazy λ-calculus without constants. In order to obtain this result we introduce a new category of games, the monotonic games, whose main characteristic consists in having an order relation on moves.

Research partially supported by Esprit Working Group TYPES and TMR Network LINEAR

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Di Gianantonio, P. (2001). Game Semantics for the Pure Lazy λ-Calculus. In: Abramsky, S. (eds) Typed Lambda Calculi and Applications. TLCA 2001. Lecture Notes in Computer Science, vol 2044. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45413-6_12

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  • DOI: https://doi.org/10.1007/3-540-45413-6_12

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41960-0

  • Online ISBN: 978-3-540-45413-7

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