Concrete Semantics : With Isabelle/HOL / by Tobias Nipkow, Gerwin Klein.

Format:

Book

Author/Creator:

Nipkow, Tobias, 1958- author.

Klein, Gerwin, author.

Contributor:

SpringerLink (Online service)

Series:

Computer Science (Springer-11645)

Language:

English

Subjects (All):

Computer logic.

Programming languages (Electronic computers).

Logic, Symbolic and mathematical.

Logics and Meanings of Programs.

Programming Languages, Compilers, Interpreters.

Mathematical Logic and Formal Languages.

Local Subjects:

Logics and Meanings of Programs.

Programming Languages, Compilers, Interpreters.

Mathematical Logic and Formal Languages.

Physical Description:

1 online resource (XIII, 298 pages) : 87 illustrations, 1 illustrations in color

Edition:

First edition 2014.

Contained In:

Springer eBooks

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2014.

System Details:

text file PDF

Summary:

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.

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.

Other Format:

Printed edition:

ISBN:

978-3-319-10542-0

9783319105420

Access Restriction:

Restricted for use by site license.