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- W1716185740 abstract "Given an n-ary k−valued function f, gap(f) denotes the essential arity gap of f which is the minimal number of essential variables in f which become fictive when identifying any two distinct essential variables in f. The class Gn of all n-ary k−valued functions f with 2 � gap(f) is explicitly determined by the authors and R. Willard in (5, 6, 7). We prove that if f 2 G n is a symmetric function with non-trivial arity gap and g = f(xi = ci) is a subfunction of f, where ci is a constant, then g 2 G n 1 n 1,k( G n 1 2,k or g is a constant function. The number of all subfunctions with non-trivial arity gap of a symmetric function f 2 Gn with f(0,...,0) 6 0 is found." @default.
- W1716185740 created "2016-06-24" @default.
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- W1716185740 date "2010-09-24" @default.
- W1716185740 modified "2023-09-28" @default.
- W1716185740 title "SYMMETRIC FUNCTIONS WITH NON-TRIVIAL ARITY GAP" @default.
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