Higher-Order Logic and Type Theory - John L. Bell eBook
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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.

About the book
Author
John L.  Bell
Imprint
Cambridge University Press
Collection
n.c
Publication date
2022-03-31
Pages
n.c
Print ISBN
9781108986908
Language
English
Ebook informations
EAN PDF
9781108991957
Price
£18.99
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Copy count 0
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File size 1894 Ko
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