Abstract
By 1978, John Cartmell has introduced the notion of a contextual category in his Ph.D.Thesis on Generalised Algebraic Theories and Contextual Categories [Cartl], part of which has been published as [Cart2]. We give a detailed exposition of his work on contextual categories in order to be able to explain our notion of categorical model for the Calculus of Constructions which is based on Cartmell’s notion of contextual category.
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© 1991 Springer Science+Business Media New York
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Streicher, T. (1991). Contextual Categories and Categorical Semantics of Dependent Types. In: Semantics of Type Theory. Progress in Theoretical Computer Science. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0433-6_2
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DOI: https://doi.org/10.1007/978-1-4612-0433-6_2
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6757-7
Online ISBN: 978-1-4612-0433-6
eBook Packages: Springer Book Archive