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Retracts in Simple Types

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Book cover 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 prove the decidability of the existence of a definable retraction between two given simple types. Instead of defining some extension of a former type system from which these retractions could be inferred, we obtain this result as a corollary of the decidability of the minimal model of simply typed λ-calculus.

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References

  1. Bruce, K., Longo, G. (1985) Provable isomorphims and domain equations in models of typed languages. A.C.M. Symposium on Theory of Computing (STOC 85).

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  6. Schmidt-Schauβ, M. (1998) Decidability of Behavioral Equivalence in Unary PCF. Theorical Computer Science 216.

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© 2001 Springer-Verlag Berlin Heidelberg

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Padovani, V. (2001). Retracts in Simple Types. 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_29

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  • DOI: https://doi.org/10.1007/3-540-45413-6_29

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41960-0

  • Online ISBN: 978-3-540-45413-7

  • eBook Packages: Springer Book Archive

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