Relation Algebras: Volume 150

ISBN-13: 9780444520135 / Angielski / Twarda / 2006 / 731 str.

Roger Duncan Maddux

Opis

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

Recenzje

"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

Spis treści

Chapter 1. Calculus of relationsChapter 2. Set theoryChapter 3. General algebraChapter 4. Logic with equalityChapter 5. Boolean algebrasChapter 6. Relation algebrasChapter 7. Algebraic logicChapter 8. 4329 finite integral relation algebras