Sets of integers in different number systems and the Chomsky hierarchy

  • István Katsányi

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.

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Published
2001-01-01
How to Cite
Katsányi, I. (2001). Sets of integers in different number systems and the Chomsky hierarchy. Acta Cybernetica, 15(2), 121-136. Retrieved from https://cyber.bibl.u-szeged.hu/index.php/actcybern/article/view/3568
Section
Regular articles

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