Description

Book Synopsis

Attempts to give a systematic presentation of both logic and type theory from a categorical perspective, using the unifying concept of fibred category. This book is useful for logicians, type theorists, category theorists and (theoretical) computer scientists.

Trade Review

"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

Table of Contents

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.

Categorical Logic and Type Theory

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    A Paperback by B. Jacobs

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      Book details

      Publisher Elsevier Science Ltd
      Published 10 May 2001
      ISBN-13 9780444508539
      978-0444508539
      ISBN-10 0444508538
      Also in:
      Mathematical logic

      Description

      Book Synopsis

      Attempts to give a systematic presentation of both logic and type theory from a categorical perspective, using the unifying concept of fibred category. This book is useful for logicians, type theorists, category theorists and (theoretical) computer scientists.

      Trade Review

      "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

      Table of Contents

      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.

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