Items related to Isabelle/HOL: A Proof Assistant for Higher-Order Logic:...

Isabelle/HOL: A Proof Assistant for Higher-Order Logic: 2283 (Lecture Notes in Computer Science, 2283) - Softcover

Nipkow, Tobias; Paulson, Lawrence C.; Wenzel, Markus

 
9783540433767: Isabelle/HOL: A Proof Assistant for Higher-Order Logic: 2283 (Lecture Notes in Computer Science, 2283)
Softcover
ISBN 10: 3540433767 ISBN 13: 9783540433767
Publisher: Springer, 2002

Synopsis

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.

"synopsis" may belong to another edition of this title.

About the Author

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.

From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2002
Language
English
ISBN 10 
3540433767
ISBN 13 
9783540433767
Binding
Paperback
Number of pages
226