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Introduction to HOL: A Theorem-Proving Environment for Higher-Order Logic
 
 
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Introduction to HOL: A Theorem-Proving Environment for Higher-Order Logic [Hardcover]

M. J. C. Gordon (Editor), T. F. Melham (Editor)


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Book Description

June 25, 1993
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.

Editorial Reviews

Review

..".an excellent presentation of a sophisticated reasoning system." Computing Reviews

Book Description

The 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.

Product Details

  • Hardcover: 492 pages
  • Publisher: Cambridge University Press (June 25, 1993)
  • Language: English
  • ISBN-10: 0521441897
  • ISBN-13: 978-0521441896
  • Product Dimensions: 9 x 6.6 x 1.1 inches
  • Shipping Weight: 1.6 pounds
  • Amazon Best Sellers Rank: #933,419 in Books (See Top 100 in Books)

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Inside This Book (learn more)
First Sentence:
The HOL system supports higher order logic. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
subgoal package, theory bool, thm list, help search path, type definition package, theorem achieving, empty subgoal list, theorems thl, type thm, primitive recursion theorem, infix status, justification stack, library taut, theory segment, invalid tactic, intermediate theorems, tautology checker, paired abstractions, theory combin, rewriting tools, primitive inference rules, resulting subgoals, primitive recursive definition, theory file, constant specification
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Modus Ponens, Robin Milner, Franz Lisp, Larry Paulson, Syntax of the Logic, Flag Function Default, Hilbert's E-operator
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