Logic, Epistemology, and the Unity of Science

Treatise on Intuitionistic Type Theory

Authors: Granström, Johan Georg

  • The author was a PhD student of Per Martin-Löf, the inventor of intuitionistic type theory, and has unique insights in the field.
  • There are many interesting connections between philosophy, logic, and computer science.
  • A new and pedagogical treatment of the double negation interpretation is included.
see more benefits

Buy this book

eBook $159.00
price for USA (gross)
  • ISBN 978-94-007-1736-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $209.00
price for USA
  • ISBN 978-94-007-1735-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $209.00
price for USA
  • ISBN 978-94-007-3639-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

Intuitionistic type theory can be described, somewhat boldly, as a fulfillment of the dream of a universal language for science.  In particular, intuitionistic type theory is a foundation for mathematics and a programming language.  This book expounds several aspects of intuitionistic type theory, such as the notion of set, reference vs. computation, assumption, and substitution.  Moreover, the book includes philosophically relevant sections on the principle of compositionality, lingua characteristica, epistemology, propositional logic, intuitionism, and the law of excluded middle. Ample historical references are given throughout the book.

About the authors

Johan G. Granström (1977) holds an Uppsala doctorate in mathematical logic (2009). He had the privilege of having Em.Prof. Per Martin-Löf, the father of dependent types, as doctoral supervisor (2003-2009), along with Prof. Erik Palmgren, a renowned expert in constructive mathematics.

Dr. Granström has been a short-term research fellow at Ludwig-Maximilians-Universität München (2006-2007) and a research associate in formal methods for MDA at King’s College London (2009). Before entering into doctoral studies he was employed in the computer industry as systems developer, consultant, and software architect (1998-2003).  He worked as Systems and Solutions Architect at Svea Ekonomi (2009-2011) and is currently employed by Google, Zürich (2011- ).

Table of contents (6 chapters)

Buy this book

eBook $159.00
price for USA (gross)
  • ISBN 978-94-007-1736-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $209.00
price for USA
  • ISBN 978-94-007-1735-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $209.00
price for USA
  • ISBN 978-94-007-3639-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Treatise on Intuitionistic Type Theory
Authors
Series Title
Logic, Epistemology, and the Unity of Science
Series Volume
22
Copyright
2011
Publisher
Springer Netherlands
Copyright Holder
Springer Netherlands
eBook ISBN
978-94-007-1736-7
DOI
10.1007/978-94-007-1736-7
Hardcover ISBN
978-94-007-1735-0
Softcover ISBN
978-94-007-3639-9
Series ISSN
2214-9775
Edition Number
1
Number of Pages
XIV, 198
Topics