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Cambridge University Press Cambridge Higher-Order Categorical Logic - Mathematics Book

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Description

Explore the connection between mathematical logic and category theory in this specialized volume from Cambridge University Press. Part of the Cambridge Studies in Advanced Mathematics series, this text provides a deep look into the foundations of mathematics by reconciling two distinct viewpoints. The book is structured to guide readers through complex theoretical landscapes. In the first section, it demonstrates that typed lambda-calculi and cartesian closed categories are essentially the same. The second part connects intuitionistic type theories to topos theory, offering a clear path through these advanced concepts. Finally, the text addresses recursive functions in its third part. This work is designed for those looking to understand the close relationship between traditional logic and the algebraic language of category theory. It serves as a valuable resource for researchers and students studying the mathematical structures that underpin modern logic and category theory.

Key Features

Reconciles mathematical logic and category theory to provide a unified viewpoint on the foundations of mathematics.

Explains the essential relationship between typed lambda-calculi and cartesian closed categories in Part I.

Connects intuitionistic type theories to topos theory for a deeper understanding of higher order logic.

Includes a dedicated section on recursive functions to expand the scope of logical study.

Part of the Cambridge Studies in Advanced Mathematics series for academic rigor and quality.

Product Specifications

Colour
Grey
Format
paperback
Domain
Amazon UK
Release Date
25 March 1988
Listed Since
04 January 2007

Barcode

No barcode data available

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