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О сложности функций трехзначной логики, принимающих два значения
С. 35–122.
Danilov B. R., Известия высших учебных заведений. Поволжский регион. Физико-математические науки 2015 Т. 4 № 36 С. 58–77
Background
The problem of synthesis of discrete control systems is one of the main problems of mathematical cybernetics. In general form it consists in construction of an optimal (in a varying sense) structural implementation of a given discrete function in a given class of control systems. Theoretical results obtained during the solution of the mentioned problem ...
Added: December 2, 2019
Mikhailovich A., В кн.: Математические вопросы кибернетикиВып. 18.: М.: Физматлит, 2013. С. 123–212.
Closed classes of functions of many-valued logic are studied. Problem on the basis existence is considered for some families of closed sets. Functions from generating systems are symmetric functions taking the values from the set {0,1} and equal to zero on the unit collection and collections containing at least one zero. Furthermore, closure of any ...
Added: March 25, 2014
Dagaev D., Вестник Московского университета. Серия 1: Математика. Механика 2010 Т. 65 № 2 С. 53–56
Upper and lower estimates for the complexity of functions of the 3-valued logic taking values from the set {0, 1} with linear Boolean restrictions are derived. ...
Added: October 4, 2012
Dagaev D., Вестник Московского университета. Серия 1: Математика. Механика 2011 Т. 66 № 3 С. 60–63
The problem of the realization complexity for functions of the three-valued logic taking values from the set {0, 1} by formulas over incomplete generating systems is considered. Upper and lower asymptotic estimates for the corresponding Shannon functions are obtained. ...
Added: October 4, 2012
Dagaev D., Вестник Московского университета. Серия 1: Математика. Механика 2012 Т. 67 № 4 С. 58–61
A certain countable set of families of classes of three-valued logic functions taking values from the set {0,1} is considered. For each class from these families and for each its finite generating system, the order of growth of the corresponding Shannon depth function is obtained. ...
Added: October 4, 2012
Dagaev D., В кн.: Материалы VIII молодежной школы по дискретной математике и ее приложениям (Москва, 24-29 октября 2011 г.).: М.: Институт прикладной математики им. М.В. Келдыша РАН, 2011. С. 23–27.
В работе получена верхняя и нижняя асимптотические оценки функции Шеннона для каждого конечно-порожденного максимального класса функций k-значной логики, принимающих 2 значения, и некоторой конечной порождающей системы этого класса. ...
Added: October 4, 2012