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e-Book Relations, Graphs and Programs epub download

e-Book Relations, Graphs and Programs epub download

Author: J.N. Ravelo
ISBN: 0902928996
Pages: 184 pages
Publisher: Univ.Oxford Computing Lab. Programming Research Gp. (April 1999)
Language: English
Category: Programming
Size ePUB: 1176 kb
Size Fb2: 1797 kb
Size DJVU: 1475 kb
Rating: 4.6
Votes: 959
Format: lit mobi docx rtf
Subcategory: Technologies

e-Book Relations, Graphs and Programs epub download

by J.N. Ravelo



oceedings{A, title {Relations, graphs and programs}, author {Jes{'u}s N. Ravelo} . Much emphasis has been placed in recent years on deriving or calculating programs rather than proving them correct

oceedings{A, title {Relations, graphs and programs}, author {Jes{'u}s N. Ravelo}, year {1998} }. Jesús N. Ravelo. Much emphasis has been placed in recent years on deriving or calculating programs rather than proving them correct. Adequate calculational frame­ works are needed to support such an approach. This thesis explores the use of a calculus of binary relations to express and reason about graph-theoretical concepts in the context of program construction. Since graphs playa promi­ nent role in algorithmics and have applications in many other fieids l such a calculational treatment of graphs vi. ONTINUE READING.

Relations, graphs and programs. by. Jesus N. Technical Monograph PRG-125 ISBN (1-902926-99-6. that modelling specifications and programs as relations provides an adequate framework in which to treat non-determinism. We use relations, though in the context of program construction, for a different purpose: to express and reason about graph concepts and properties. The standard reference is the book by Schmidt and Strohlein, in which a large number of graph concepts are phrased in terms of relations, and proofs of graph properties are carried out in an algebraic fashion. MATHEMATICAL ENGINEERING TECHNICAL REPORTS Calculus of Minimals: Deriving Dynamic-Programming Algorithms based on Preservation of Monotonicity. We show how to derive imperative programs for relation-based discrete structures by combining relational calculus and the Dijkstra–Gries method. At the end of Chapter 4 of the RelMiCS book an application of fork algebras as the basis for a calculus for program construction is outlined. In this paper we make a detailed presentation of the calculus as well as present some examples.

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Directed graphs can be represented as binary relations and we develop our algorithms based on a relation-algebraic description of closures. Ravelo, . Two graph algorithms derived. This description employs the relation-algebraic notion of rectangles and instantiating the resulting algorithm with different kinds of rectangles leads to different algorithms for computing closures. 36, 489–510 (1999)MATHGoogle Scholar.

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