History and Philosophy of Constructive Type Theory

Giovanni Sommaruga

ISBN 10: 9048154030 / ISBN 13: 9789048154036

Editore: Springer Netherlands, Springer Netherlands, 2010

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Druck auf Anfrage Neuware - Printed after ordering - 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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Dati bibliografici

• Titolo: History and Philosophy of Constructive Type Theory
• Editore: Springer Netherlands, Springer Netherlands
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 9048154030
• ISBN 13: 9789048154036
• Rilegatura: Taschenbuch
• Condizione: Neu

Descrizione articolo

Riassunto

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.

Contenuti

Preface. 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.