Higher-Order Logic and Type Theory Paperback / softback
by John L. (University of Western Ontario) Bell
Part of the Elements in Philosophy and Logic series
Paperback / softback
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Description
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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In Stock - low on stock, only 1 copy remainingFree UK DeliveryEstimated delivery 2-3 working days
- Format:Paperback / softback
- Pages:75 pages, Worked examples or Exercises
- Publisher:Cambridge University Press
- Publication Date:31/03/2022
- Category:
- ISBN:9781108986908
Information
-
In Stock - low on stock, only 1 copy remainingFree UK DeliveryEstimated delivery 2-3 working days
- Format:Paperback / softback
- Pages:75 pages, Worked examples or Exercises
- Publisher:Cambridge University Press
- Publication Date:31/03/2022
- Category:
- ISBN:9781108986908
