Complexity of realization of functions from a class of three-valued logic by formulas of special type

D. V. Trushchin · Moscow University Mathematics Bulletin · 2012

A set of functions of the three-valued logic is considered and upper estimates for the Shannon function in the class of formulas of special form are obtained for this set. Some examples of sequences of functions from this 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.

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