English

Numeration-automatic sequences

Computation and Language 2007-05-23 v1 Discrete Mathematics

Abstract

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.

Keywords

Cite

@article{arxiv.cs/0605076,
  title  = {Numeration-automatic sequences},
  author = {J. F. J. Laros},
  journal= {arXiv preprint arXiv:cs/0605076},
  year   = {2007}
}

Comments

25 pages, 22 figures