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Finite-automaton transformations of strictly almost-periodic sequences.
- Source :
-
Mathematical Notes . Nov/Dec2006, Vol. 80 Issue 5/6, p710-714. 5p. - Publication Year :
- 2006
-
Abstract
- Different versions of the notion of almost-periodicity are natural generalizations of the notion of periodicity. The notion of strict almost-periodicity appeared in symbolic dynamics, but later proved to be fruitful in mathematical logic and the theory of algorithms as well. In the paper, a class of essentially almost-periodic sequences (i.e., strictly almost-periodic sequences with an arbitrary prefix added at the beginning) is considered. It is proved that the property of essential almost-periodicity is preserved under finite-automaton transformations, as well as under the action of finite transducers. The class of essentially almost-periodic sequences is contained in the class of almost-periodic sequences. It is proved that this inclusion is strict. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SYMBOLIC dynamics
*CYCLES
*MATHEMATICAL logic
*ALGORITHMS
*TRANSDUCERS
Subjects
Details
- Language :
- English
- ISSN :
- 00014346
- Volume :
- 80
- Issue :
- 5/6
- Database :
- Academic Search Index
- Journal :
- Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 32853581
- Full Text :
- https://doi.org/10.1007/s11006-006-0191-7