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Original Articles

Binary self-adding sequences and languagesFootnote1

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Pages 171-181 | Received 24 Nov 1995, Published online: 19 Mar 2007
 

Abstract

We inroduce the self-adding sequences, the binary case, and their associated languages. These languages are neither context-free nor DOL languages, but the inclusion (implicitly, the equivalence) problem is decidable, as well as other problems. Results concerning the periodicity of the self-adding sequences are also presented.

1Research supported by the Academy of Finland, project 11281, and by the Alexander Von Humboldt Foundation.

2Current address: Turku Centre for Computer Science (TUCS), Lemminkäisenkatu 14 A, 4th Floor, 20520 Turku, FINLAND.

3Current address: Faculty of Computer Science, University of Magdeburg P.O. Box 4120, D-39016, Magdeburg, GERMAMY.

1Research supported by the Academy of Finland, project 11281, and by the Alexander Von Humboldt Foundation.

2Current address: Turku Centre for Computer Science (TUCS), Lemminkäisenkatu 14 A, 4th Floor, 20520 Turku, FINLAND.

3Current address: Faculty of Computer Science, University of Magdeburg P.O. Box 4120, D-39016, Magdeburg, GERMAMY.

Notes

1Research supported by the Academy of Finland, project 11281, and by the Alexander Von Humboldt Foundation.

2Current address: Turku Centre for Computer Science (TUCS), Lemminkäisenkatu 14 A, 4th Floor, 20520 Turku, FINLAND.

3Current address: Faculty of Computer Science, University of Magdeburg P.O. Box 4120, D-39016, Magdeburg, GERMAMY.

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