Logic and Computation: Interactive Proof with Cambridge Lcf

ISBN-13: 9780521395601 / Angielski / Miękka / 1990 / 320 str.

Lawrence C. Paulson; C. J. Van Rijsbergen; Samson Abramsky

Opis

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.

Recenzje

"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

Spis treści

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.