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Treatise on Intuitionistic Type Theory (Logic, Epistemology, and the Unity of Science) (English, German, Latin and Greek Edition) Hardcover – June 3, 2011

ISBN-13: 978-9400717350 ISBN-10: 9400717350 Edition: 2011th

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Editorial Reviews

From the Back Cover

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 Ample historical references are given throughout the book.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 Author

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- ).


More About the Author

Johan Georg Granström studied intuitionistic type theory under Per Martin-Löf, who invented the subject. His PhD thesis is published by Springer and "combines philosophy, mathematical logic, and computer science".

Since May 2011, he works as software engineer for Google, where he has contributed to three major public launches and and submitted nine patent applications.

Johan is an active member of the academy: he has written three scientific papers; he is a reviewer for Zentralblatt MATH; he has delivered 25 public lectures; he represents Google in a FP7 EU grant application; and he is frequently consulted as a referee for Google scholarship applications, as well as external conference and journal publications.

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