Complexity of realization of functions from a class of three-valued logic by special form formulas / D. V. Trushchin. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2012. № 4. P. 20-26 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 0].

A set of functions of the three-valued logic is considered and upper estimates for the Shannon function in the class of formulas of specail form are obtained for that set. Some examples of sequences of functions from that set are considered and exponential lower estimates of complexity are obtained. In this case the values of the Shannon function are obtained for the considered class with the accuracy up to an additive constant.

Key words: function of three-valued logic, formula, complexity, depth.

№ 4/2012