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  1. Home
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  3. Deductive and Declarative Programming
  • Cited by 7
Publisher:
Cambridge University Press
Online publication date:
October 2009
Print publication year:
1992
Online ISBN:
9780511569876
DOI:
https://doi.org/10.1017/CBO9780511569876
Subjects:
Algorithmics, Complexity, Computer Algebra, Computational Geometry, Computer Science, Programming Languages and Applied Logic
Series:
Cambridge Tracts in Theoretical Computer Science (28)
Information

Book description

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.

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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