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Internal type theory

  • Peter Dybjer
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1158)

Abstract

We introduce categories with families as a new notion of model for a basic framework of dependent types. This notion is close to ordinary syntax and yet has a clean categorical description. We also present categories with families as a generalized algebraic theory. Then we define categories with families formally in Martin-Löf's intensional intuitionistic type theory. Finally, we discuss the coherence problem for these internal categories with families.

Keywords

Type Theory Dependent Type Proof Assistant Coherence Condition Equality Judgement 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • Peter Dybjer
    • 1
  1. 1.Department of Computing ScienceChalmers University of TechnologyGöteborgSweden

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