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Essential arity gap of Boolean functions

Published 28 Aug 2008 in cs.DM | (0808.3892v2)

Abstract: We investigate the Boolean functions with essential arity gap 2. We use Full Conjunctive Normal Forms instead of Zhegalkin's polynomials, which allow us to simplify the proofs and to obtain several combinatorial results, concerning the Boolean functions with a given arity gap.

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