Mathematical logic | Boolean algebra | Algebraic logic | Fuzzy logic

Residuated Boolean algebra

In mathematics, a residuated Boolean algebra is a residuated lattice whose lattice structure is that of a Boolean algebra. Examples include Boolean algebras with the monoid taken to be conjunction, the set of all formal languages over a given alphabet Σ under concatenation, the set of all binary relations on a given set X under relational composition, and more generally the power set of any equivalence relation, again under relational composition. The original application was to relation algebras as a finitely axiomatized generalization of the binary relation example, but there exist interesting examples of residuated Boolean algebras that are not relation algebras, such as the language example. (Wikipedia).

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From playlist Discrete Mathematics

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From playlist Boolean Algebra

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From playlist Boolean Algebra

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From playlist Logic in Philosophy and Mathematics

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From playlist Abstract Algebra

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From playlist Mathematics

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From playlist Jean-Morlet Chair - Gander/Hubert

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From playlist Seminar Talks

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From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics

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From playlist Bourbaki - 21 juin 2014

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Related pages

Alfred Tarski | Variety (universal algebra) | Mathematics | Relation algebra | De Morgan's laws | Residuated lattice | Material conditional | Boolean algebra (structure)