Abstract
The contemporary theory of relation algebras is a direct outgrowth of the nineteenth century calculus of relations. After a few examples illustrating the calculus of relations (the most widely applied part of the subject), this chapter touches upon some topics in the algebraic theory of relation algebras: basic definitions, examples, constructions, elementary arithmetical theory, general algebraic results, representation theorems with applications, and connections with logic, including Tarski’s formalization of set theory without variables.
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© 1997 Springer-Verlag Wien
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Maddux, R.D. (1997). Relation Algebras. In: Brink, C., Kahl, W., Schmidt, G. (eds) Relational Methods in Computer Science. Advances in Computing Sciences. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6510-2_2
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DOI: https://doi.org/10.1007/978-3-7091-6510-2_2
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-82971-4
Online ISBN: 978-3-7091-6510-2
eBook Packages: Springer Book Archive