{"ID":2889784,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2507.21295","arxiv_id":"2507.21295","title":"Semantic Numeration Systems as Dynamical Systems","abstract":"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.","short_abstract":"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 t...","url_abs":"https://arxiv.org/abs/2507.21295","url_pdf":"https://arxiv.org/pdf/2507.21295v1","authors":"[\"Alexander Yu. Chunikhin\"]","published":"2025-07-28T19:29:36Z","proceeding":"cs.LO","tasks":"[\"cs.LO\",\"cs.AI\"]","methods":"[]","has_code":false}