1 citations · 1 across the 5 of their papers we have counts for
5 papers
Non-negative Rational Semantic Numeration Systems
Alexander Chunikhin
A new class of Semantic Numeration Systems, namely, positive rational Semantic Numeration Systems is introduced. For cardinal semantic operators, differences in the formation of ca…
Attractors of Parikh mapping iterations
Alexander Chunikhin
Three types of the Parikh mapping are introduced, namely, alphabetic, alphabetic-basis and basis. Explicit expressions for attractors of the k-th order in bases n >= 8, including c…
On Fuzzy Cardinal Semantic Transformations
Alexander Chunikhin, Vadym Zhytniuk
The concept of fuzzy cardinal semantic transformation as a basis for creating fuzzy semantic numeration systems is introduced in this work. Both fuzziness of the initial data - car…
Fundamentals of Semantic Numeration Systems. Can the Context be Calculated?
Alexander Chunikhin
This work is the first to propose the concept of a semantic numeration system (SNS) as a certain class of context-based numeration methods. The development of the SNS concept requi…
Polymultisets, Multisuccessors, and Multidimensional Peano Arithmetics
Alexander Chunikhin
The goal of this paper is introduction of a concept of natural multidimensional numbers and to construct a generalized Peano arithmetic of these multidimensional numbers. For this…