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Extensionality in the Calculus of Constructions

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Book cover Theorem Proving in Higher Order Logics (TPHOLs 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3603))

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Abstract

This paper presents a method to translate a proof in an extensional version of the Calculus of Constructions into a proof in the Calculus of Inductive Constructions extended with a few axioms. We use a specific equality in order to translate the extensional conversion relation into an intensional system.

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© 2005 Springer-Verlag Berlin Heidelberg

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Oury, N. (2005). Extensionality in the Calculus of Constructions. In: Hurd, J., Melham, T. (eds) Theorem Proving in Higher Order Logics. TPHOLs 2005. Lecture Notes in Computer Science, vol 3603. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11541868_18

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  • DOI: https://doi.org/10.1007/11541868_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28372-0

  • Online ISBN: 978-3-540-31820-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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