Higher-Order Logic and Type Theory

Name: Higher-Order Logic and Type Theory
Brand: Cambridge University Press
SKU: 9781108986908
Price: 3250 KES
Availability: OutOfStock
ISBN: 9781108986908

by John L. Bell

Book Details

Format Paperback / softback

Book Series Elements in Philosophy and Logic

ISBN-10 1108986900

ISBN-13 9781108986908

Publisher Cambridge University Press

Imprint Cambridge University Press

Country of Manufacture GB

Country of Publication GB

Publication Date Mar 31st, 2022

Print length 88 Pages

Weight 148 grams

Dimensions 15.20 x 22.80 x 0.80 cms

Product Classification: Philosophy Philosophy: logic Set theory Philosophy Philosophy: logic

KSh 3,250.00

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An exposition of second- and higher-order logic and type theory. It includes the syntax and semantics of classical second-order logic and a discussion of higher-order logic based on the concept of a type. Also explored are origins and nature of type theory, its relationship to set theory, and descriptions of contemporary forms of type theory.

This Element is an exposition of second- and higher-order logic and type theory. It begins with a presentation of the syntax and semantics of classical second-order logic, pointing up the contrasts with first-order logic. This leads to a discussion of higher-order logic based on the concept of a type. The second Section contains an account of the origins and nature of type theory, and its relationship to set theory. Section 3 introduces Local Set Theory (also known as higher-order intuitionistic logic), an important form of type theory based on intuitionistic logic. In Section 4 number of contemporary forms of type theory are described, all of which are based on the so-called ''doctrine of propositions as types''. We conclude with an Appendix in which the semantics for Local Set Theory - based on category theory - is outlined.

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