Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Computer Science (LNCS, volume 2283)
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About this book
This volume is a self-contained introduction to interactive proof in high- order logic (HOL), using the proof assistant Isabelle 2002. Compared with existing Isabelle documentation, it provides a direct route into higher-order logic, which most people prefer these days. It bypasses ?rst-order logic and minimizes discussion of meta-theory. It is written for potential users rather than for our colleagues in the research world. Another departure from previous documentation is that we describe Markus Wenzel’s proof script notation instead of ML tactic scripts. The l- ter make it easier to introduce new tactics on the ?y, but hardly anybody does that. Wenzel’s dedicated syntax is elegant, replacing for example eight simpli?cation tactics with a single method, namely simp, with associated - tions. The book has three parts. – The ?rst part, Elementary Techniques, shows how to model functional programs in higher-order logic. Early examples involve lists and the natural numbers. Most proofs are two steps long, consisting of induction on a chosen variable followed by the auto tactic. But even this elementary part covers such advanced topics as nested and mutual recursion. – The second part, Logic and Sets, presents a collection of lower-level tactics that you can use to apply rules selectively. It also describes I- belle/HOL’s treatment of sets, functions, and relations and explains how to de?ne sets inductively. One of the examples concerns the theory of model checking, and another is drawn from a classic textbook on formal languages.
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Table of contents (10 chapters)
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Front Matter
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Elementary Techniques
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Back Matter
Editors and Affiliations
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Bibliographic Information
Book Title: Isabelle/HOL
Book Subtitle: A Proof Assistant for Higher-Order Logic
Editors: Tobias Nipkow, Markus Wenzel, Lawrence C. Paulson
Series Title: Lecture Notes in Computer Science
DOI: https://doi.org/10.1007/3-540-45949-9
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2002
Softcover ISBN: 978-3-540-43376-7Published: 03 April 2002
eBook ISBN: 978-3-540-45949-1Published: 31 July 2003
Series ISSN: 0302-9743
Series E-ISSN: 1611-3349
Edition Number: 1
Number of Pages: XIV, 226
Topics: Mathematical Logic and Formal Languages, Logic, Theory of Computation, Artificial Intelligence, Logics and Meanings of Programs, Programming Languages, Compilers, Interpreters