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Syntax and semantics of dependent types

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Part of the book series:CPHC/BCS Distinguished Dissertations ((DISTDISS))

Abstract

In this chapter we fix a particular syntax for a dependently typed calculus and define an abstract notion of model as well as a general interpretation function mapping syntactical objects to entities in a model. This interpretation function is shown to be sound with respect to the syntax.

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Authors and Affiliations

  1. Fachbereich Mathematik, Technische Hochschule Darmstadt, Schlossgartenstrasse 7, D-64289, Darmstadt, Germany

    Martin Hofmann PhD

Authors
  1. Martin Hofmann PhD

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© 1997 Springer-Verlag London Limited

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Hofmann, M. (1997). Syntax and semantics of dependent types. In: Extensional Constructs in Intensional Type Theory. CPHC/BCS Distinguished Dissertations. Springer, London. https://doi.org/10.1007/978-1-4471-0963-1_2

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