Higher-Order Logic and Type Theory

John L. Bell

ISBN 10: 1108986900 / ISBN 13: 9781108986908

Published by Cambridge University Press, 2022

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9781108986908

Bibliographic Details

Title: Higher-Order Logic and Type Theory

Publisher: Cambridge University Press

Publication Date: 2022

Binding: Taschenbuch

Condition: Neu