University Series in Mathematics

A Short Introduction to Intuitionistic Logic

Authors: Mints, Grigori

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About this book

Intuitionistic logic is presented here as part of familiar classical logic which allows mechanical extraction of programs from proofs. to make the material more accessible, basic techniques are presented first for propositional logic; Part II contains extensions to predicate logic. This material provides an introduction and a safe background for reading research literature in logic and computer science as well as advanced monographs. Readers are assumed to be familiar with basic notions of first order logic. One device for making this book short was inventing new proofs of several theorems. The presentation is based on natural deduction. The topics include programming interpretation of intuitionistic logic by simply typed lambda-calculus (Curry-Howard isomorphism), negative translation of classical into intuitionistic logic, normalization of natural deductions, applications to category theory, Kripke models, algebraic and topological semantics, proof-search methods, interpolation theorem. The text developed from materal for several courses taught at Stanford University in 1992-1999.

Reviews

`This is the most welcome addition to the literature on intuitionistic logic, providing a substantial reference of value comparable to that of better established references for classical mathematical logic. The development of Mints' book is natural, elegant and accessible, with a minimum of fuss but no lack of attention to important detail.
Overall, the book is an excellent addition to the literature.'
Mathematical Reviews, 2002b

Table of contents (17 chapters)

Buy this book

eBook $89.00
price for USA (gross)
  • ISBN 978-0-306-46975-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-0-306-46394-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $119.00
price for USA
  • ISBN 978-1-4757-7319-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
A Short Introduction to Intuitionistic Logic
Authors
Series Title
University Series in Mathematics
Copyright
2000
Publisher
Springer US
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-0-306-46975-6
DOI
10.1007/b115304
Hardcover ISBN
978-0-306-46394-5
Softcover ISBN
978-1-4757-7319-4
Edition Number
1
Number of Pages
IX, 131
Topics