Items related to Higher-Order Logic and Type Theory (Elements in Philosophy...
- PublisherCambridge University Press
- Publication date2022
- ISBN 10 1108986900
- ISBN 13 9781108986908
- BindingPaperback
- LanguageEnglish
- Number of pages88
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Higher-order Logic and Type Theory
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Higher-order Logic and Type Theory
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Higher-Order Logic and Type Theory (Elements in Philosophy and Logic)
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Higher-Order Logic and Type Theory (Elements in Philosophy and Logic)
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Higher-Order Logic and Type Theory (Paperback)
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Paperback. Condition: new. Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781108986908
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Higher-Order Logic and Type Theory
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Higher-Order Logic and Type Theory (Elements in Philosophy and Logic)
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Higher-Order Logic and Type Theory (Elements in Philosophy and Logic)
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