Categorical Logic and Type Theory

B. Jacobs (Author)

9780444508539

Paperback / softback, published 10 May 2001

778 pages
23.3 x 15.6 x 4.7 cm, 1.2 kg

"The author's achievement in collecting and organizing a very large body of material in coherent form,... this is first and foremost an encyclopaedic work, into which specialists will delve with much pleasure and profit... One very welcome feature of the book is a comprehensive bibliography of nearly 350 items..." --Zentralblatt für Mathematik, vol.905R.A.G. Seely"This book will be the standard reference in its field for some time to come." --The Bulletin of Symbolic Logic, Vol. 6

This book is an attempt to give a systematic presentation of both logic and type theory from a categorical perspective, using the unifying concept of fibred category. Its intended audience consists of logicians, type theorists, category theorists and (theoretical) computer scientists.

Chapter Headings only. Preface. Contents. Preliminaries. Prospectus. Introduction to fibred category theory. Simple type theory. Equational logic. First order predicate logic. Higher order predicate logic. The effective topos. Internal category theory. Polymorphic type theory. Advanced fibred category theory. First order dependent type theory. Higher order dependent type theory. References. Notation index. Subject index.

Subject Areas: Computer science [UY], Philosophy of science [PDA], Algebraic topology [PBPD], Algebraic geometry [PBMW], Discrete mathematics [PBD], Mathematical logic [PBCD], Mathematical foundations [PBC]