Non-negative Rational Semantic Numeration Systems
Logic in Computer Science
2026-05-01 v1
Abstract
A new class of Semantic Numeration Systems, namely, positive rational Semantic Numeration Systems is introduced. For cardinal semantic operators, differences in the formation of carry (common carry) and remainders are defined. The properties of positive rational Semantic Numeration Systems as dynamical systems are formulated and illustrated through analytical and numerical examples. A first attempt at defining partial integer Semantic Numeration Systems is proposed.
Cite
@article{arxiv.2604.28171,
title = {Non-negative Rational Semantic Numeration Systems},
author = {Alexander Chunikhin},
journal= {arXiv preprint arXiv:2604.28171},
year = {2026}
}
Comments
13 pages, 10 figures. arXiv admin note: substantial text overlap with arXiv:2507.21295