Semantic Numeration Systems as Dynamical Systems
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866911081489760256 |
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| author | Chunikhin, Alexander Yu. |
| author_facet | Chunikhin, Alexander Yu. |
| contents | The foundational concepts of semantic numeration systems theory are briefly outlined. The action of cardinal semantic operators unfolds over a set of cardinal abstract entities belonging to the cardinal semantic multeity. The cardinal abstract object (CAO) formed by them in a certain connectivity topology is proposed to be considered as a linear discrete dynamical system with nonlinear control. Under the assumption of ideal observability, the CAO state equations are provided for both stationary and non-stationary cases. The fundamental role of the configuration matrix, which combines information about the types of cardinal semantic operators in the CAO, their parameters and topology of connectivity, is demonstrated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_21295 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Semantic Numeration Systems as Dynamical Systems Chunikhin, Alexander Yu. Logic in Computer Science Artificial Intelligence 11A63, 47S20, 68Q55 The foundational concepts of semantic numeration systems theory are briefly outlined. The action of cardinal semantic operators unfolds over a set of cardinal abstract entities belonging to the cardinal semantic multeity. The cardinal abstract object (CAO) formed by them in a certain connectivity topology is proposed to be considered as a linear discrete dynamical system with nonlinear control. Under the assumption of ideal observability, the CAO state equations are provided for both stationary and non-stationary cases. The fundamental role of the configuration matrix, which combines information about the types of cardinal semantic operators in the CAO, their parameters and topology of connectivity, is demonstrated. |
| title | Semantic Numeration Systems as Dynamical Systems |
| topic | Logic in Computer Science Artificial Intelligence 11A63, 47S20, 68Q55 |
| url | https://arxiv.org/abs/2507.21295 |