Concrete Semantics

With Isabelle/HOL

Authors: Nipkow, Tobias, Klein, Gerwin

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  • Suitable for graduate students and researchers in theoretical computer science and logic
  • Teaches reader the art of precise logical reasoning and the practical use of a proof assistant
  • Represents a formal approach to computer science, not just semantics
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eBook 42,79 €
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  • ISBN 978-3-319-10542-0
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  • ebooks can be used on all reading devices
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Hardcover 72,79 €
price for Spain (gross)
  • ISBN 978-3-319-10541-3
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  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Softcover 51,99 €
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  • ISBN 978-3-319-35759-1
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  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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About this Textbook

Part I of this book is a practical introduction to working with the Isabelle proof assistant. It teaches you how to write functional programs and inductive definitions and how to prove properties about them in Isabelle’s structured proof language. Part II is an introduction to the semantics of imperative languages with an emphasis on applications like compilers and program analysers. The distinguishing feature is that all the mathematics has been formalised in Isabelle and much of it is executable. Part I focusses on the details of proofs in Isabelle; Part II can be read even without familiarity with Isabelle’s proof language, all proofs are described in detail but informally.

The book teaches the reader the art of precise logical reasoning and the practical use of a proof assistant as a surgical tool for formal proofs about computer science artefacts. In this sense it represents a formal approach to computer science, not just semantics. The Isabelle formalisation, including the proofs and accompanying slides, are freely available online, and the book is suitable for graduate students, advanced undergraduate students, and researchers in theoretical computer science and logic.

About the authors

Prof. Tobias Nipkow received his Ph.D. in Manchester, after which he taught and carried out research at MIT and in Cambridge. He took up a professorship in 1992 at the Technische Universität München where he holds the Chair for Logic and Verification. He was one of the developers of Isabelle, a generic proof assistant, and he coauthored the related LNCS tutorial. He also coauthored the textbook "Term Rewriting and All That", and he is the Editor-in-Chief of the Journal of Automated Reasoning. His research interests include automatic and interactive theorem proving, formal verification, formalizing programming languages, type systems, semantics, rewriting and unification, and the lambda-calculus.

Assoc. Prof. Gerwin Klein received his Ph.D. in Computer Science from the Technische Universität München. He is a Senior Principal Researcher/Research Leader at National ICT Australia (NICTA) and an adjunct professor in the School of Computer Science and Engineering, University of New South Wales. His research interests include interactive theorem proving, software verification, and the semantics of programming languages.

Reviews

“The book is highly recommended for learning and teaching theorem proving and semantics, picking up a lot of useful knowledge on higher-order logic along the way. The book is well-structured and written to support learning about the two main themes. It may also help to make formal methods more approachable to a larger number of students by offering the possibility to follow the book with a software tool, inviting the students to experiment and succeed in (automatically assisted) formal proof.” (Stefan Hallerstede, Formal Aspects of Computing, Vol. 30, 2018)

Table of contents (13 chapters)

Table of contents (13 chapters)

Buy this book

eBook 42,79 €
price for Spain (gross)
  • ISBN 978-3-319-10542-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 72,79 €
price for Spain (gross)
  • ISBN 978-3-319-10541-3
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 51,99 €
price for Spain (gross)
  • ISBN 978-3-319-35759-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Concrete Semantics
Book Subtitle
With Isabelle/HOL
Authors
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-10542-0
DOI
10.1007/978-3-319-10542-0
Hardcover ISBN
978-3-319-10541-3
Softcover ISBN
978-3-319-35759-1
Edition Number
1
Number of Pages
XIII, 298
Number of Illustrations
86 b/w illustrations, 1 illustrations in colour
Topics