monadic boolean algebra造句
例句與造句
- Monadic Boolean algebras also have an important connection to modal logic.
- Halmos and Givant ( 1998 ) includes an undergraduate treatment of monadic Boolean algebra.
- Likewise, monadic Boolean algebras supply the algebraic semantics for " S5 ".
- Paul Halmos discovered monadic Boolean algebras while working on polyadic algebras; Halmos ( 1962 ) reprints the relevant papers.
- Monadic Boolean algebras form a Boolean algebras are to propositional logic, and what polyadic algebras are to first-order logic.
- It's difficult to find monadic boolean algebra in a sentence. 用monadic boolean algebra造句挺難的
- Antonio Monteiro showed that for every monadic Boolean algebra one can construct a trivalent Aukasiewicz algebra ( by taking certain equivalence classes ) and that any trivalent Aukasiewicz algebra is isomorphic to a Aukasiewicz algebra thus derived from a monadic Boolean algebra.
- Antonio Monteiro showed that for every monadic Boolean algebra one can construct a trivalent Aukasiewicz algebra ( by taking certain equivalence classes ) and that any trivalent Aukasiewicz algebra is isomorphic to a Aukasiewicz algebra thus derived from a monadic Boolean algebra.
- Cignoli summarizes the importance of this result as : " Since it was shown by Halmos that monadic Boolean algebras are the algebraic counterpart of classical first order monadic calculus, Monteiro considered that the representation of three-valued Aukasiewicz algebras into monadic Boolean algebras gives a proof of the consistency of Aukasiewicz three-valued logic relative to classical logic ."
- Cignoli summarizes the importance of this result as : " Since it was shown by Halmos that monadic Boolean algebras are the algebraic counterpart of classical first order monadic calculus, Monteiro considered that the representation of three-valued Aukasiewicz algebras into monadic Boolean algebras gives a proof of the consistency of Aukasiewicz three-valued logic relative to classical logic ."
- This also reflects the relationship between the monadic logic of quantification ( for which monadic Boolean algebras provide an algebraic description ) and "'S5 "'where the modal operators ?% ( "'necessarily "') and ?% ( "'possibly "') can be interpreted in the Kripke semantics using monadic universal and existential quantification, respectively, without reference to an accessibility relation.