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History and Philosophy of Constructive Type Theory 2000 Edition
Contributor(s): Sommaruga, Giovanni (Author)
ISBN: 0792361806     ISBN-13: 9780792361800
Publisher: Springer
OUR PRICE:   $161.49  
Product Type: Hardcover - Other Formats
Published: July 2000
Qty:
Annotation: A comprehensive survey of Martin-L??f's constructive type theory, considerable parts of which have only been presented by Martin-L??f 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-L??f 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.
Additional Information
BISAC Categories:
- Mathematics | Logic
Dewey: 511.3
LCCN: 00025107
Series: Synthese Library (Hardcover)
Physical Information: 1.08" H x 6.64" W x 9.74" (1.62 lbs) 367 pages
 
Descriptions, Reviews, Etc.
Publisher Description:
A comprehensive survey of Martin-L f's constructive type theory, considerable parts of which have only been presented by Martin-L f 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-L f 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.