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Introduction to HOL : A Theorem-Proving Environment for Higher-Order Logic by T. F. Melham (1993, Hardcover)

About this product

Product Identifiers

PublisherCambridge University Press
ISBN-100521441897
ISBN-139780521441896
eBay Product ID (ePID)940425

Product Key Features

Number of Pages492 Pages
LanguageEnglish
Publication NameIntroduction to Hol : a Theorem-Proving Environment for Higher-Order Logic
SubjectProgramming Languages / General, Logic
Publication Year1993
TypeTextbook
Subject AreaMathematics, Computers
AuthorT. F. Melham
FormatHardcover

Dimensions

Item Height1.1 in
Item Weight26.1 Oz
Item Length8.9 in
Item Width6.5 in

Additional Product Features

Intended AudienceScholarly & Professional
LCCN94-140201
Dewey Edition20
IllustratedYes
Dewey Decimal511.3/0285/53
Table Of ContentPart I. Tutorial: 1. Introduction to ML; 2. The HOL logic; 3. Introduction to proof with HOL; 4. Goal-oriented proof: tactics and tacticals; 5. Example: a simple parity checker; 6. How to program a proof tool; 7. Example: the binomial theorem; Part II. The Meta-Language ML: 8. The history of ML; 9. Introduction and examples; 10. Syntax of ML; 11. Semantics of ML; 12. ML types; 13. Primitive ML identifier bindings; 14. General purpose and list processing functions; 15. ML system functions; Part III. The Hol Logic: 16. Syntax and semantics; 17. Theories; Part IV. The Hol System: 18. The HOL logic in ML; Part V. Theorem-Proving With HOL: 19. Derived inference rules; 20. Conversions; 21. Goal-directed proof: tactics and tacticals; Appendices.
SynopsisThe HOL system aids the development of safety-critical software. The purpose here has been to provide a coherent and self-contained introduction to HOL and to extract and compress from various sources most of the material that is needed for day-to-day work with the system., HOL is a proof development system intended for applications to both hardware and software. It is principally used in two ways: for directly proving theorems, and as theorem-proving support for application-specific verification systems. HOL is currently being applied to a wide variety of problems, including the specification and verification of critical systems. Introduction to HOL provides a coherent and self-contained description of HOL containing both a tutorial introduction and most of the material that is needed for day-to-day work with the system. After a quick overview that gives a 'hands-on feel' for the way HOL is used, there follows a detailed description of the ML language. The logic that HOL supports and how this logic is embedded in ML are then described in detail. This is followed by an explanation of the theorem-proving infrastructure provided by HOL. Finally two appendices contain a subset of the reference manual, and an overview of the HOL library, including an example of an actual library documentation.
LC Classification NumberQA76.9.A96 I6 1993