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Games Characterizing Levy-Longo Trees

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Abstract

We present a simple strongly universal innocent game model for Levy-Longo trees i.e. every point in the model is the denotation of a unique Levy-Longo tree. The observational quotient of the model then gives a universal, and hence fully abstract, model of the pure Lazy Lambda Calculus.

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Ong, C.H.L., Di Gianantonio, P. (2002). Games Characterizing Levy-Longo Trees. In: Widmayer, P., Eidenbenz, S., Triguero, F., Morales, R., Conejo, R., Hennessy, M. (eds) Automata, Languages and Programming. ICALP 2002. Lecture Notes in Computer Science, vol 2380. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45465-9_41

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  • DOI: https://doi.org/10.1007/3-540-45465-9_41

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43864-9

  • Online ISBN: 978-3-540-45465-6

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