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Relation algebras /

par Maddux, R. D. Collection : Studies in logic and the foundations of mathematics, 0049-237X ; . v. 150 Mention d'édition :1st ed. Détails physiques : 1 online resource (xxvi, 731 pages) : illustrations. ISBN :9780444520135; 0444520139; 0080461476 (electronic bk.); 9780080461472 (electronic bk.).
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Exemplaires : http://www.sciencedirect.com/science/publication?issn=0049237X&volume=150

The modern theory of algebras of binary relations, reformulated by Tarski as an abstract, algebraic, equational theory of relation algebras, has considerable mathematical significance, with applications in various fields: e.g., in computer science---databases, specification theory, AI---and in anthropology, economics, physics, and philosophical logic. This comprehensive treatment of the theory of relation algebras and the calculus of relations is the first devoted to a systematic development of the subject. Key Features: - Presents historical milestones from a modern perspective - Careful, thorough, detailed guide to understanding relation algebras - Provides a framework and unified perspective of the subject.

Preface -- List of Figures -- List of Tables -- Chapter 1. Calculus of relations -- Chapter 2. Set theory -- Chapter 3. General algebra -- Chapter 4. Logic with equality -- Chapter 5. Boolean algebras -- Chapter 6. Relation algebras -- Chapter 7. Algebraic logic -- Chapter 8. 4329 finite integral relation algebras -- Bibliography -- Index.

Includes bibliographical references (p. 713-722) and index.

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