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  1. Home
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  3. Logic and Computation
  • Cited by 121
Publisher:
Cambridge University Press
Online publication date:
September 2009
Print publication year:
1987
Online ISBN:
9780511526602
DOI:
https://doi.org/10.1017/CBO9780511526602
Subjects:
Algorithmics, Complexity, Computer Algebra, Computational Geometry, Computer Science, Programming Languages and Applied Logic
Series:
Cambridge Tracts in Theoretical Computer Science (2)
Information

Book description

This book is concerned with techniques for formal theorem-proving, with particular reference to Cambridge LCF (Logic for Computable Functions). Cambridge LCF is a computer program for reasoning about computation. It combines the methods of mathematical logic with domain theory, the basis of the denotational approach to specifying the meaning of program statements. Cambridge LCF is based on an earlier theorem-proving system, Edinburgh LCF, which introduced a design that gives the user flexibility to use and extend the system. A goal of this book is to explain the design, which has been adopted in several other systems. The book consists of two parts. Part I outlines the mathematical preliminaries, elementary logic and domain theory, and explains them at an intuitive level, giving reference to more advanced reading; Part II provides sufficient detail to serve as a reference manual for Cambridge LCF. It will also be a useful guide for implementors of other programs based on the LCF approach.

Reviews

"This book is well-written: it is a good text for any reader who wants to become familiar with Cambridge LCF, or, in general, with machine assisted (formal) proof construction." Mathematical Reviews

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