Concrete Semantics: With Isabelle/hol by Tobias NipkowConcrete Semantics: With Isabelle/hol by Tobias Nipkow

Concrete Semantics: With Isabelle/hol

byTobias Nipkow, Gerwin Klein

Paperback | September 10, 2016

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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.

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 coauthore...
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Title:Concrete Semantics: With Isabelle/holFormat:PaperbackDimensions:298 pages, 23.5 × 15.5 × 0.17 inPublished:September 10, 2016Publisher:Springer NatureLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:331935759X

ISBN - 13:9783319357591

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Table of Contents

Introduction.- Programming and Proving.- Case Study: IMP Expressions.- Logic and Proof Beyond Equality.- Isar: A Language for Structured Proofs.- IMP: A Simple Imperative Language.- Compiler.- Types.- Program Analysis.- Denotational Semantics.- Hoare Logic.- Abstract Interpretation.- App. A, Auxiliary Definitions.- App. B, Symbols.- References.