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History and Philosophy of Constructive Type Theory

Author: Giovanni Sommaruga
Publisher: Dordrecht : Springer Netherlands, 2000.
Series: Synthese library, 290.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
A comprehensive survey of Martin-Löf's constructive type theory, considerable parts of which have only been presented by Martin-Löf in lecture form or as part of conference talks. Sommaruga surveys the prehistory of type theory and its highly complex development through eight different stages from 1970 to 1995. He also provides a systematic presentation of the latest version of the theory, as offered by  Read more...
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Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Giovanni Sommaruga
ISBN: 9789401593939 9401593930
OCLC Number: 851370063
Description: 1 online resource (x, 367 pages).
Contents: 1. The Present Version of Constructive Type Theory (1995) --
2. Metatheoretical Considerations --
3. History of Constructive Type Theory (1970-95) --
4. Philosophical and Technical Prehistory of Constructive Type Theory (1880-1970) --
Conclusion --
References.
Series Title: Synthese library, 290.
Responsibility: by Giovanni Sommaruga.
More information:

Abstract:

A comprehensive survey of Martin-Löf's constructive type theory, considerable parts of which have only been presented by Martin-Löf in lecture form or as part of conference talks. Sommaruga surveys the prehistory of type theory and its highly complex development through eight different stages from 1970 to 1995. He also provides a systematic presentation of the latest version of the theory, as offered by Martin-Löf at Leiden University in Fall 1993. This presentation gives a fuller and updated account of the system. Earlier, brief presentations took no account of the issues related to the type-theoretical approach to logic and the foundations of mathematics, while here they are accorded an entire part of the book. Readership: Comprehensive accounts of the history and philosophy of constructive type theory and a considerable amount of related material. Readers need a solid background in standard logic and a first, basic acquaintance with type theory.

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