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

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

    Printable version; Page information; Get shortened URL; ... English: Hasse diagram of the free Boolean algebra with two generators, p and q. Based on File:Hasse2Free.png.

  4. Boolean algebra - Wikipedia

    en.wikipedia.org/wiki/Boolean_algebra

    In mathematics and mathematical logic, Boolean algebra is a branch of algebra.It differs from elementary algebra in two ways. First, the values of the variables are the truth values true and false, usually denoted 1 and 0, whereas in elementary algebra the values of the variables are numbers.

  5. Map of lattices - Wikipedia

    en.wikipedia.org/wiki/Map_of_lattices

    A heyting algebra is bounded. (def) 12. A bounded lattice is a lattice. (def) 13. A heyting algebra is residuated. 14. A residuated lattice is a lattice. (def) 15. A distributive lattice is modular. [3] 16. A modular complemented lattice is relatively complemented. [4] 17. A boolean algebra is relatively complemented. (1,15,16) 18. A relatively ...

  6. Boolean algebra (structure) - Wikipedia

    en.wikipedia.org/wiki/Boolean_algebra_(structure)

    The term "Boolean algebra" honors George Boole (1815–1864), a self-educated English mathematician. He introduced the algebraic system initially in a small pamphlet, The Mathematical Analysis of Logic, published in 1847 in response to an ongoing public controversy between Augustus De Morgan and William Hamilton, and later as a more substantial book, The Laws of Thought, published in 1854.

  7. Binary decision diagram - Wikipedia

    en.wikipedia.org/wiki/Binary_decision_diagram

    To find the value of the Boolean function for a given assignment of (Boolean) values to the variables, we start at the reference edge, which points to the BDD's root, and follow the path that is defined by the given variable values (following a low edge if the variable that labels a node equals FALSE, and following the high edge if the variable ...