Counting false entries in truth tables of bracketed formulae connected by m-implication

preprint2012arXivOpen access

Abstract

In this paper we count the number of rows yn with the value "false" in the truth tables of all bracketed formulae with n distinct variables connected by the binary connective of 2modified-implication". We find a recurrence and an asymptotic formulae for yn. We also determine the parity of yn.

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