| Issue |
RAIRO-Theor. Inf. Appl.
Volume 33, Number 2, March April 1999
|
|
|---|---|---|
| Page(s) | 125 - 132 | |
| DOI | https://doi.org/10.1051/ita:1999110 | |
| Published online | 15 August 2002 | |
On Sequences Defined by D0L Power Series
Department of Mathematics,
University of Turku,
FIN-20014 Turku, Finland,
and
Turku Centre for Computer Science TUCS,
FIN-20520 Turku, Finland;
juha.honkala@utu.fi.
Received:
May
1998
Accepted:
December
1998
We study D0L power series over commutative semirings. We show that a sequence
(cn)n≥0 of nonzero elements of a field A is the coefficient
sequence of a D0L power series if and only if there exist a positive integer
k and integers βi for 1 ≤ i ≤ k such that
for all
n ≥ 0. As a consequence we solve the equivalence problem of D0L power
series over computable fields.
Mathematics Subject Classification: 68Q45
Key words: D0L system / D0L power series.
© EDP Sciences, 1999
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