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Semantics of type theory: correctness, completeness and independence results

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Author(s): Streicher, Thomas
Series: Progress in theoretical computer science
Publisher: Birkhauser
Year: 1991

Language: English
Pages: 298
Tags: Mathematics.;Computer science.;Computer science -- Mathematics.

Content: 1 Contextual Categories and Categorical Semantics of Dependent Types.- 2 Models for the Calculus of Constructions and Its Extensions.- 3 Correctness of the Interpretation of the Calculus of Constructions in Doctrines of Constructions.- 4 The Term Model of the Calculus of Constructions and Its Metamathematical Applications.- 5 Related Work, Extensions and Directions of Future Investigations.- Appendix Independence Proofs by Realizability Models.- References.