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- W1494555245 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.KeywordsType TheoryDependent TypeProof AssistantCoherence ConditionEquality JudgementThese 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." @default.
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- W1494555245 date "1996-01-01" @default.
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- W1494555245 title "Internal type theory" @default.
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- W1494555245 doi "https://doi.org/10.1007/3-540-61780-9_66" @default.
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