Łukasiewicz–Moisil algebras (LMn algebras) were introduced in the 1940s by Grigore Moisil (initially under the name of Łukasiewicz algebras) in the hope...
9 KB (1,285 words) - 07:02, 14 April 2024
semantics for the n-valued Łukasiewicz logic by means of his Łukasiewicz–Moisil (LM) algebra (which Moisil called Łukasiewicz algebras) turned out to be an...
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Iuliu Moisil (1859–1947), schoolteacher and writer, uncle of Constantin Grigore Moisil National College of Computer Science (Brașov) Łukasiewicz–Moisil algebra...
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was mainly in the fields of mathematical logic (Łukasiewicz–Moisil algebra), algebraic logic, MV-algebra, and differential equations. He is viewed as the...
13 KB (1,372 words) - 02:42, 4 September 2024
S5-algebra is a synonym for monadic Boolean algebra. Clopen set Cylindric algebra Interior algebra Kuratowski closure axioms Łukasiewicz–Moisil algebra Modal...
4 KB (435 words) - 03:34, 25 July 2023
axioms. MV-algebras are the algebraic semantics of Łukasiewicz logic; the letters MV refer to the many-valued logic of Łukasiewicz. MV-algebras coincide...
13 KB (1,653 words) - 03:49, 28 June 2024
innovative works by Łukasiewicz, which applied methods from modern logic to the formalization of Aristotle's syllogistic. The Łukasiewicz approach was reinvigorated...
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topos forms a Heyting algebra. Łukasiewicz–Moisil algebras (LMn) are also Heyting algebras for any n (but they are not MV-algebras for n ≥ 5). The ordering...
44 KB (6,245 words) - 17:26, 5 November 2024
List of order theory topics (section Orders in algebra)
algebra Kleene algebra (with involution) Łukasiewicz–Moisil algebra Boolean algebra (structure) Boolean ring Complete Boolean algebra Orthocomplemented...
5 KB (396 words) - 12:14, 30 October 2023
Examples of Kleene algebras in the sense defined above include: lattice-ordered groups, Post algebras and Łukasiewicz algebras. Boolean algebras also meet this...
10 KB (1,118 words) - 02:29, 4 May 2024