The complexity of a two - parameter familyof sequencesAviezri

نویسندگان

  • Aviezri S. Fraenkel
  • Tamar Seeman
  • Jamie Simpson
چکیده

We determine the complexity of the characteristic functions of a two-parameter family fA n g 1 n=1 of innnite sequences which are associated with the winning strategies for a family of 2-player games. A special case of the family has the form A n = bnnc for all n 2 Z + , where is a xed positive irrational number. The characteristic functions of such sequences have been shown to have complexity n + 1. We show that every sequence in the extended family has complexity linear in n.

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تاریخ انتشار 2007