翻訳と辞書 Words near each other ・ "O" Is for Outlaw ・ "O"-Jung.Ban.Hap. ・ "Ode-to-Napoleon" hexachord ・ "Oh Yeah!" Live ・ "Our Contemporary" regional art exhibition (Leningrad, 1975) ・ "P" Is for Peril ・ "Pimpernel" Smith ・ "Polish death camp" controversy ・ "Pro knigi" ("About books") ・ "Prosopa" Greek Television Awards ・ "Pussy Cats" Starring the Walkmen ・ "Q" Is for Quarry ・ "R" Is for Ricochet ・ "R" The King (2016 film) ・ "Rags" Ragland ・ ! (album) ・ ! (disambiguation) ・ !! ・ !!! ・ !!! (album) ・ !!Destroy-Oh-Boy!! ・ !Action Pact! ・ !Arriba! La Pachanga ・ !Hero ・ !Hero (album) ・ !Kung language ・ !Oka Tokat ・ !PAUS3 ・ !T.O.O.H.! ・ !Women Art Revolution Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Łukasiewicz implication ： ウィキペディア英語版 Łukasiewicz logic In mathematics, Łukasiewicz logic (; (:wukaˈɕɛvʲitʂ)) is a non-classical, many valued logic. It was originally defined in the early 20th-century by Jan Łukasiewicz as a three-valued logic;〔Łukasiewicz J., 1920, O logice trójwartościowej (in Polish). Ruch filozoficzny 5:170–171. English translation: On three-valued logic, in L. Borkowski (ed.), ''Selected works by Jan Łukasiewicz'', North–Holland, Amsterdam, 1970, pp. 87–88. ISBN 0-7204-2252-3〕 it was later generalized to ''n''-valued (for all finite ''n'') as well as infinitely-many-valued (ℵ0-valued) variants, both propositional and first-order.〔Hay, L.S., 1963, Axiomatization of the infinite-valued predicate calculus. ''Journal of Symbolic Logic'' 28:77–86.〕 The ℵ0-valued version was published in 1930 by Łukasiewicz and Alfred Tarski; consequently it is sometimes called the Łukasiewicz-Tarski logic.〔 citing Łukasiewicz, J., Tarski, A.: (Untersuchungen über den Aussagenkalkül ). Comp. Rend. Soc. Sci. et Lettres Varsovie Cl. III 23, 30–50 (1930).〕 It belongs to the classes of t-norm fuzzy logics〔Hájek P., 1998, ''Metamathematics of Fuzzy Logic''. Dordrecht: Kluwer.〕 and substructural logics.〔Ono, H., 2003, "Substructural logics and residuated lattices — an introduction". In F.V. Hendricks, J. Malinowski (eds.): Trends in Logic: 50 Years of Studia Logica, ''Trends in Logic'' 20: 177–212.〕 This article presents the Łukasiewicz() logic in its full generality, i.e. as an infinite-valued logic. For an elementary introduction to the three-valued instantiation Ł3, see three-valued logic. == Language == The propositional connectives of Łukasiewicz logic are ''implication'' $\backslash rightarrow$, ''negation'' $\backslash neg$, ''equivalence'' $\backslash leftrightarrow$, ''weak conjunction'' $\backslash wedge$, ''strong conjunction'' $\backslash otimes$, ''weak disjunction'' $\backslash vee$, ''strong disjunction'' $\backslash oplus$, and propositional constants $\backslash overline$ and $\backslash overline$. The presence of conjunction and disjunction is a common feature of substructural logics without the rule of contraction, to which Łukasiewicz logic belongs. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Łukasiewicz logic」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.