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The Term Model of the Calculus of Constructions and Its Metamathematical Applications

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Semantics of Type Theory

Part of the book series: Progress in Theoretical Computer Science ((PTCS))

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Abstract

The aim of this chapter is to construct a doctrine of constructions C I as a term model of the Calculus of Constructions such that the interpretation in this model interprets only provably well-defined contexts, types and objects and identifies only those contexts, types or objects which are provably equal up to renaming of variables bound in the contexts.

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© 1991 Springer Science+Business Media New York

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Streicher, T. (1991). The Term Model of the Calculus of Constructions and Its Metamathematical Applications. In: Semantics of Type Theory. Progress in Theoretical Computer Science. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0433-6_5

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  • DOI: https://doi.org/10.1007/978-1-4612-0433-6_5

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6757-7

  • Online ISBN: 978-1-4612-0433-6

  • eBook Packages: Springer Book Archive

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