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Semantics of Type Theory: Correctness, Completeness and Independence Results - Softcover

 
9781461204343: Semantics of Type Theory: Correctness, Completeness and Independence Results

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Synopsis

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.

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