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A type theoretical view of Böhm-trees

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Typed Lambda Calculi and Applications (TLCA 1997)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1210))

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Abstract

Two variations of the intersection type assignment system are studied in connection with Böhm-trees. One is the intersection type assignment system with a non-standard subtype relation, by means of which we characterize whereabouts of D in Böhm-trees. The other is a refinement of the intersection type assignment system whose restricted typability is shown to coincide with finiteness of Böhm-trees.

This research was supported in part by JSPS Research Fellowships for Young Scientists.

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Philippe de Groote J. Roger Hindley

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© 1997 Springer-Verlag Berlin Heidelberg

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Kurata, T. (1997). A type theoretical view of Böhm-trees. In: de Groote, P., Roger Hindley, J. (eds) Typed Lambda Calculi and Applications. TLCA 1997. Lecture Notes in Computer Science, vol 1210. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-62688-3_39

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  • DOI: https://doi.org/10.1007/3-540-62688-3_39

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-62688-6

  • Online ISBN: 978-3-540-68438-1

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