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.
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- 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 Ample historical references are given throughout the book.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
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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- ).
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Treatise on Intuitionistic Type Theory
- Authors
-
- Johan Georg Granström
- 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