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Deductive and Declarative Programming

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Paperback | 23 November 2006

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288 Pages

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16.9 x 24.5 x 1.7

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Declarative programs consist of mathematical functions and relations and are amenable to formal specification and verification, since the methods of logic and proof can be applied to the programs in a well-defined manner. Here Dr Padawitz emphasizes verification based on logical inference rules, i.e. deduction (in contrast with model-theoretic approaches, deductive methods can be automated to some extent). His treatment of the subject differs from others in that he tries to capture the actual styles and applications of programming; neither too general with respect to the underlying logic, nor too restrictive for the practice of programming. He generalizes and unifies results from classical theorem-proving and term rewriting to provide proof methods tailored to declarative program synthesis and verification. Detailed examples accompany the development of the methods, whose use is supported by a documented prototyping system. The book can be used for graduate courses or as a reference for researchers in formal methods, theorem-proving and declarative languages.

Industry Reviews

"...promotes specification and programming on the basis of Horn logic with equality...His treatment of the subject differs from others in that he tries to capture the actual styles and applications of programming, neither too general with respect to the underlying logic, nor too restrictive for the practice of programming. He generalizes and unifies results from classical theorem-proving and term rewriting to provide proof methods tailored to declarative program synthesis and verification. Detailed examples accompany the development of the methods, whose use is supported by a documented prototyping system." Xiang Li, Mathematical Reviews

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You Can Find This Book In

Non-Fiction Computing & I.T.Computer Programming & Software Development Programming & Scripting Languages Computer Science Mathematical Theory of Computation Software Engineering

Introduction
Preliminaries
Guards, generators and constructors
Models and correctness
Computing goal solutions
Inductive expansion
Directed expansion and reduction
Implications of ground confluence
Examples
Expander: inductive expansion in SML
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

Deductive and Declarative Programming

At a Glance

Paperback

Industry Reviews

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