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Titlebook: Concrete Semantics; With Isabelle/HOL Tobias Nipkow,Gerwin Klein Textbook 2014 Springer International Publishing Switzerland 2014 Abstract

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发表于 2025-3-21 17:29:47 | 显示全部楼层 |阅读模式
书目名称Concrete Semantics
副标题With Isabelle/HOL
编辑Tobias Nipkow,Gerwin Klein
视频video
概述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 for
图书封面Titlebook: Concrete Semantics; With Isabelle/HOL Tobias Nipkow,Gerwin Klein Textbook 2014 Springer International Publishing Switzerland 2014 Abstract
描述.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..
出版日期Textbook 2014
关键词Abstract interpretation; Automated reasoning; Compilers; Denotational semantics; Functional programming;
版次1
doihttps://doi.org/10.1007/978-3-319-10542-0
isbn_softcover978-3-319-35759-1
isbn_ebook978-3-319-10542-0
copyrightSpringer International Publishing Switzerland 2014
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发表于 2025-3-21 21:41:21 | 显示全部楼层
Isar: a Language for Structured Proofsured, not linear. (2) It is readable without its being run because you need to state what you are proving at any given point. Whereas apply-scripts are like assembly language programs, Isar proofs are like structured programs with comments. A typical Isar proof looks like this.
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Denotational Semanticst those rules do not tell us directly what the meaning of a command is. This is what denotational semantics is about: mapping syntactic objects to their denotation or meaning. In fact, we are already familiar with two examples, namely the evaluation of arithmetic and boolean expressions.
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Globalization and the Gains from TradeThis chapter introduces HOL as a functional programming language and shows how to prove properties of functional programs by induction.
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Labour and Labour Market Adjustment,The core syntax of formulas (form below) provides the standard logical constructs, in decreasing order of precedence.
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Frederick van der Ploeg,Aart J. de ZeeuwThis chapter introduces HOL as a functional programming language and shows how to prove properties of functional programs by induction.
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