
Relation algebras
Title:
Relation algebras
Author:
Maddux, R. D. (Roger D.), 1948-
ISBN:
9780444520135
Personal Author:
Edition:
1st ed.
Publication Information:
Amsterdam ; Boston : Elsevier, 2006.
Physical Description:
xxvi, 731 p. : ill. ; 24 cm.
Series:
Studies in logic and the foundations of mathematics, v. 150
Series Title:
Studies in logic and the foundations of mathematics, 0049-237X ; v. 150
Contents:
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.
Abstract:
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.
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