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Register a new userCompleteness problem in three valued algebraic logic
مسألة التتميم في منطق الجبر ثلاثي القيمة
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درسنا في هذا البحث مسألة التتميم في منطق الجبر ثلاثي القيمة على منطق لوكاسفيتش ثلاثي القيمة بالنسبة لجملة أدوات منطقية تامة حيث تمت دراسة هذه المسألة في منظومة اشتقاق غاسبرغ و تقديم دراسة شاملة تضمنت أهم النظريات و قواعد الاشتقاق التي تم وضعها و التي أدت إلى تقديم برهان مميز لنظرية التتميم في منطق لوكاسفيتش ثلاثي القيمة.
We study in this research completeness problem in three valued algebraic logic on Lukasiewicz 3 valued logic for a functionally complete set of connectives where we studied this problem in Wajseberg derivation system and we presented a comprehensive study of the most important theorems and derivation rules which led to a very unique and special proof of completeness theorem in Lukasiewicz 3 valued logic.
References used
BERGMANN, MERRIE,JAMES, H.MOOR and JACK NELSON. The Logic Book, 4th ed. New York: McGraw-Hill, 2004 , 71-90 , 100-114
S. AGUZZOLI and A. CIABATTONI “Finiteness in Infinite-Valued _Lukasiewicz Logic.”Journal of Logic, Language, and Information 9, 2000, -17
BEALL J.C. and BAS C. and VAN FRAASSEN Possibilities and Paradox: An Introduction to Modal and Many-Valued Logic. New York: Oxford University Press, 2003, 75-92
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