Katsányi István: Sets of integers in different number systems and the Chomsky hierarchy. In: Acta cybernetica, (15) 2. pp. 121-136. (2001)
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Abstract
The classes of the Chomsky hierarchy are characterized in respect of converting between canonical number systems. We show that the relations of the bases of the original and converted number systems fall into four distinct categories, and we examine the four Chomsky classes in each of the four cases. We also prove that all of the Chomsky classes are closed under constant addition and multiplication. The classes RE and CS are closed under every examined operation. The regular languages axe closed under addition, but not under multiplication.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Acta cybernetica |
| Date: | 2001 |
| Volume: | 15 |
| Number: | 2 |
| ISSN: | 0324-721X |
| Page Range: | pp. 121-136 |
| Language: | English |
| Place of Publication: | Szeged |
| Event Title: | Conference for PhD Students in Computer Science (2.) (2000) (Szeged) |
| Related URLs: | http://acta.bibl.u-szeged.hu/38512/ |
| Uncontrolled Keywords: | Számítástechnika, Kibernetika |
| Additional Information: | Bibliogr.: 136. p. ; összefoglalás angol nyelven |
| Subjects: | 01. Natural sciences 01. Natural sciences > 01.02. Computer and information sciences |
| Date Deposited: | 2016. Oct. 15. 12:25 |
| Last Modified: | 2022. Jun. 14. 12:48 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/12667 |
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