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  2. Free Boolean algebra - Wikipedia

    en.wikipedia.org/wiki/Free_Boolean_algebra

    The Hasse diagram of the free Boolean algebra on two generators, p and q. Take p (left circle) to be "John is tall" and q (right circle)to be "Mary is rich". The atoms are the four elements in the row just above FALSE. The generators of a free Boolean algebra can represent independent propositions. Consider, for example, the propositions "John ...

  3. Boolean algebra - Wikipedia

    en.wikipedia.org/wiki/Boolean_algebra

    The 256-element free Boolean algebra on three generators is deployed in computer displays based on raster graphics, which use bit blit to manipulate whole regions consisting of pixels, relying on Boolean operations to specify how the source region should be combined with the destination, typically with the help of a third region called the mask.

  4. File:Free-boolean-algebra-hasse-diagram.svg - Wikipedia

    en.wikipedia.org/wiki/File:Free-boolean-algebra...

    English: Hasse diagram of the free Boolean algebra with two generators, p and q. Based on File:Hasse2Free.png. Date: 17 March 2017: ... Free Boolean algebra; Metadata.

  5. Map of lattices - Wikipedia

    en.wikipedia.org/wiki/Map_of_lattices

    1. A boolean algebra is a complemented distributive lattice. (def) 2. A boolean algebra is a heyting algebra. [1] 3. A boolean algebra is orthocomplemented. [2] 4. A distributive orthocomplemented lattice is orthomodular. 5. A boolean algebra is orthomodular. (1,3,4) 6. An orthomodular lattice is orthocomplemented. (def) 7. An orthocomplemented ...

  6. List of logic symbols - Wikipedia

    en.wikipedia.org/wiki/List_of_logic_symbols

    propositional logic, Boolean algebra, Heyting algebra: is false when A is true and B is false but true otherwise. may mean the same as (the symbol may also indicate the domain and codomain of a function; see table of mathematical symbols).

  7. Diagram (mathematical logic) - Wikipedia

    en.wikipedia.org/wiki/Diagram_(mathematical_logic)

    In model theory, a branch of mathematical logic, the diagram of a structure is a simple but powerful concept for proving useful properties of a theory, for example the amalgamation property and the joint embedding property, among others.