Relation Algebras - Couverture rigide

Maddux, Roger Duncan

 
9780444520135: Relation Algebras

Synopsis

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.

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Présentation de l'éditeur

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.



  • Presents historical milestones from a modern perspective
  • Careful, thorough, detailed guide to understanding relation algebras
  • Provides a framework and unified perspective of the subject

Revue de presse

"An indispensable tool for scholars and research workers in mathematics and the mathematical sciences." --Mathmatical Reviews, 2007

"The book is an introduction to the calculus of relations and the theory of relation algebras (r.a.s): the reader need not have any preliminary knowledge of the subject... [T]he book contains very extensive material (the bibliography, in particular) both on relation algebras and from related areas and may serve as a handbook for a researcher." --ZentralblattMATH

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