. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . "\u0141ukasiewicz\u2013Moisil algebras (LMn algebras) were introduced in the 1940s by Grigore Moisil (initially under the name of \u0141ukasiewicz algebras) in the hope of giving algebraic semantics for the n-valued \u0141ukasiewicz logic. However, in 1956 Alan Rose discovered that for n \u2265 5, the \u0141ukasiewicz\u2013Moisil algebra does not model the \u0141ukasiewicz logic. A faithful model for the \u21350-valued (infinitely-many-valued) \u0141ukasiewicz\u2013Tarski logic was provided by C. C. Chang's MV-algebra, introduced in 1958. For the axiomatically more complicated (finite) n-valued \u0141ukasiewicz logics, suitable algebras were published in 1977 by and called MVn-algebras. MVn-algebras are a subclass of LMn-algebras, and the inclusion is strict for n \u2265 5. In 1982 published some additional constraints that added to LMn-algebras produc"@en . . "\u0141ukasiewicz\u2013Moisil algebras (LMn algebras) were introduced in the 1940s by Grigore Moisil (initially under the name of \u0141ukasiewicz algebras) in the hope of giving algebraic semantics for the n-valued \u0141ukasiewicz logic. However, in 1956 Alan Rose discovered that for n \u2265 5, the \u0141ukasiewicz\u2013Moisil algebra does not model the \u0141ukasiewicz logic. A faithful model for the \u21350-valued (infinitely-many-valued) \u0141ukasiewicz\u2013Tarski logic was provided by C. C. Chang's MV-algebra, introduced in 1958. For the axiomatically more complicated (finite) n-valued \u0141ukasiewicz logics, suitable algebras were published in 1977 by and called MVn-algebras. MVn-algebras are a subclass of LMn-algebras, and the inclusion is strict for n \u2265 5. In 1982 published some additional constraints that added to LMn-algebras produce proper models for n-valued \u0141ukasiewicz logic; Cignoli called his discovery proper \u0141ukasiewicz algebras. Moisil however, published in 1964 a logic to match his algebra (in the general n \u2265 5 case), now called Moisil logic. After coming in contact with Zadeh's fuzzy logic, in 1968 Moisil also introduced an infinitely-many-valued logic variant and its corresponding LM\u03B8 algebras. Although the \u0141ukasiewicz implication cannot be defined in a LMn algebra for n \u2265 5, the Heyting implication can be, i.e. LMn algebras are Heyting algebras; as a result, Moisil logics can also be developed (from a purely logical standpoint) in the framework of Brower\u2019s intuitionistic logic."@en . . . . . "8862"^^ . . . . . . . . . . . . . "1110774003"^^ . . . . . . . . . . . "43613625"^^ . . . . . . . . "\u0141ukasiewicz\u2013Moisil algebra"@en .