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Relation Algebras by Games Book PDF Summary

In part 2, games are introduced, and used to axiomatise various classes of algebras. Part 3 discusses approximations to representability, using bases, relation algebra reducts, and relativised representations. Part 4 presents some constructions of relation algebras, including Monk algebras and the 'rainbow construction', and uses them to show that various classes of representable algebras are non-finitely axiomatisable or even non-elementary. Part 5 shows that the representability problem for finite relation algebras is undecidable, and then in contrast proves some finite base property results. Part 6 contains a condensed summary of the book, and a list of problems. There are more than 400 exercises. P The book is generally self-contained on relation algebras and on games, and introductory text is scattered throughout. Some familiarity with elementary aspects of first-order logic and set theory is assumed, though many of the definitions are given.-

Detail Book of Relation Algebras by Games PDF

Relation Algebras by Games
  • Author : Robin Hirsch
  • Release : 15 August 2002
  • Publisher : Gulf Professional Publishing
  • ISBN : 0444509321
  • Genre : Mathematics
  • Total Page : 722 pages
  • Language : English
  • PDF File Size : 11,8 Mb

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