Introduction to Higher-Order Categorical Logic

Name: Introduction to Higher-Order Categorical Logic
SKU: 2105029
Price: 204.00 NZD
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Paperback / softback

Series:

Cambridge Studies in Advanced Mathematics

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Description

In this volume, Lambek and Scott reconcile two different viewpoints of the foundations of mathematics, namely mathematical logic and category theory. In Part I, they show that typed lambda-calculi, a formulation of higher-order logic, and cartesian closed categories, are essentially the same. Part II demonstrates that another formulation of higher-order logic, (intuitionistic) type theories, is closely related to topos theory. Part III is devoted to recursive functions. Numerous applications of the close relationship between traditional logic and the algebraic language of category theory are given. The authors have included an introduction to category theory and develop the necessary logic as required, making the book essentially self-contained. Detailed historical references are provided throughout, and each section concludeds with a set of exercises.

Release date NZ

March 25th, 1988

Author

Audience

Professional & Vocational

Illustrations

Worked examples or Exercises

Pages

304

Series

Cambridge Studies in Advanced Mathematics

Dimensions

150x227x18

ISBN-13

9780521356534

Product ID

2105029

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