State Complexity of Testing Divisibility

نویسندگان

  • Émilie Charlier
  • Narad Rampersad
  • Michel Rigo
  • Laurent Waxweiler
چکیده

Under some mild assumptions, we study the state complexity of the trim minimal automaton accepting the greedy representations of the multiples of m ≥ 2 for a wide class of linear numeration systems. As an example, the number of states of the trim minimal automaton accepting the greedy representations of mN in the Fibonacci system is exactly 2m.

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تاریخ انتشار 2010