Numeration-automatic sequences

Details Numeration-automatic sequences Numeration-automatic sequences

2006-05-17

arxiv.org/abs/cs/0605076v1

Computer Science

Computation and Language

25 pages, 22 figures

Scientific paper

We present a base class of automata that induce a numeration system and we
give an algorithm to give the n-th word in the language of the automaton when
the expansion of n in the induced numeration system is feeded to the automaton.
Furthermore we give some algorithms for reverse reading of this expansion and a
way to combine automata to other automata having the same properties.

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