Logic and Computation

Interactive Proof with Cambridge LCF

Lawrence C. Paulson (University of Cambridge), C. J. Van Rijsbergen, S. Abramsky , P. H. Aczel

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English

Cambridge University Press
24 September 1990

Mathematical logic; Mainframes & minicomputers; Mathematical theory of computation

Series: Cambridge Tracts in Theoretical Computer Science

Logic and Computation 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 methods of mathematical logic with domain theory, the basis of the denotational approach to specifying the meaning of statements in a programming language. This book consists of two parts. Part I outlines the mathematical preliminaries: elementary logic and domain theory. They are explained at an intuitive level, giving references to more advanced reading. Part II provides enough 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.

By: Lawrence C. Paulson (University of Cambridge)
Series edited by: C. J. Van Rijsbergen, S. Abramsky, P. H. Aczel, J. W. de Bakker
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: 2
Dimensions: Height: 247mm, Width: 187mm, Spine: 19mm
Weight: 574g
ISBN: 9780521395601
ISBN 10: 0521395607
Series: Cambridge Tracts in Theoretical Computer Science
Pages: 320
Publication Date: 24 September 1990
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Part I. Preliminaries: 1. Survey and history of LCF; 2. Formal proof in first order logic; 3. A logic of computable functions; 4. Structural induction; Part II. Cambridge LCF: 5. Syntactic operators for PPL; 6. Theory structure; 7. Axioms and interference rules; 8. Tactics and tacticals; 9. Rewriting and simplification; 10. Sample proofs; Bibliography; Index.

Reviews for Logic and Computation: Interactive Proof with Cambridge LCF

"""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"