History and Philosophy of Constructive Type Theory

  • Giovanni Sommaruga

Part of the Synthese Library book series (SYLI, volume 290)

Table of contents

  1. Front Matter
    Pages i-x
  2. Giovanni Sommaruga
    Pages 167-217
  3. Giovanni Sommaruga
    Pages 219-310
  4. Giovanni Sommaruga
    Pages 347-348
  5. Back Matter
    Pages 349-367

About this book

Introduction

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.

Keywords

foundation history history of literature issue logic mathematics philosophy prehistory present

Authors and affiliations

  • Giovanni Sommaruga
    • 1
  1. 1.Albert-Ludwigs UniversityFreiburgGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-015-9393-9
  • Copyright Information Springer Science+Business Media B.V. 2000
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-5403-6
  • Online ISBN 978-94-015-9393-9
  • About this book