weak completeness

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• Gödel's completeness theorem — is a fundamental theorem in mathematical logic that establishes a correspondence between semantic truth and syntactic provability in first order logic. It was first proved by Kurt Gödel in 1929. A first order formula is called logically valid if… …   Wikipedia

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• Łukasiewicz logic — In mathematics, Łukasiewicz logic is a non classical, many valued logic. It was originally defined by Jan Łukasiewicz as a three valued logic;Łukasiewicz J., 1920, O logice trójwartościowej (in Polish). Ruch filozoficzny 5:170–171. English… …   Wikipedia