Concrete Semantics: With Isabelle/HOL

by Tobias Nipkow and Gerwin Klein

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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.

  • ISBN13 9783319357591
  • Publish Date 10 September 2016 (first published 15 December 2014)
  • Publish Status Active
  • Publish Country CH
  • Imprint Springer International Publishing AG
  • Edition Softcover reprint of the original 1st ed. 2014
  • Format Paperback
  • Pages 298
  • Language English