Concrete Semantics

Concrete Semantics

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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 Isabellea€™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 Isabellea€™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.The main aim of this chapter is to introduce the concepts of commands and their abstract syntax, and to use them to illustrate two styles of defining the semantics of a programming language: big-step and small-step operational semantics.

Title:Concrete Semantics
Author: Tobias Nipkow, Gerwin Klein
Publisher:Springer - 2014-12-03

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