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Concrete Semantics
With Isabelle/HOL
Buch von Gerwin Klein (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor

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 NewSouth Wales. His research interests include interactive theorem proving, software verification, and the semantics of programming languages.

Zusammenfassung

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

Includes supplementary material: [...]

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2014
Genre: Informatik, Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: xiii
298 S.
86 s/w Illustr.
1 farbige Illustr.
298 p. 87 illus.
1 illus. in color.
ISBN-13: 9783319105413
ISBN-10: 3319105418
Sprache: Englisch
Herstellernummer: 86358573
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Klein, Gerwin
Nipkow, Tobias
Hersteller: Springer International Publishing
Springer International Publishing AG
Verantwortliche Person für die EU: Books on Demand GmbH, In de Tarpen 42, D-22848 Norderstedt, info@bod.de
Maße: 241 x 160 x 23 mm
Von/Mit: Gerwin Klein (u. a.)
Erscheinungsdatum: 15.12.2014
Gewicht: 0,635 kg
Artikel-ID: 105182507
Über den Autor

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 NewSouth Wales. His research interests include interactive theorem proving, software verification, and the semantics of programming languages.

Zusammenfassung

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

Includes supplementary material: [...]

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2014
Genre: Informatik, Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: xiii
298 S.
86 s/w Illustr.
1 farbige Illustr.
298 p. 87 illus.
1 illus. in color.
ISBN-13: 9783319105413
ISBN-10: 3319105418
Sprache: Englisch
Herstellernummer: 86358573
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Klein, Gerwin
Nipkow, Tobias
Hersteller: Springer International Publishing
Springer International Publishing AG
Verantwortliche Person für die EU: Books on Demand GmbH, In de Tarpen 42, D-22848 Norderstedt, info@bod.de
Maße: 241 x 160 x 23 mm
Von/Mit: Gerwin Klein (u. a.)
Erscheinungsdatum: 15.12.2014
Gewicht: 0,635 kg
Artikel-ID: 105182507
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