| 1. | For an introduction to relation algebra, see Maddux ( 2006 ).
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| 2. | Relation algebra is arguably the culmination of Leibniz's approach to logic.
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| 3. | For the theoretical explanation see Relation algebra.
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| 4. | Since residuated Boolean algebras are axiomatized with finitely many identities, so are relation algebras.
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| 5. | The relational example constitutes a relation algebra equipped with an operation of reflexive transitive closure.
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| 6. | Ampersand is the name of a programming language, which uses relation algebra to specify information systems.
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| 7. | Hence the latter form a variety, the variety "'RA "'of relation algebras.
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| 8. | Augustus De Morgan discovered relation algebra in his " Syllabus of a Proposed System of Logic ".
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| 9. | The equational form of relation algebra treated here was developed by Alfred Tarski and his students, starting in the 1940s.
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| 10. | No axiom requires more than three quantified variables; hence a translation of first order theories into relation algebra is possible.
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