Categorical Structure of Atomic Normalization
Author: Sergei Zubov
Affiliation: TestPress R&D Division
Abstract
This work develops a categorical framework for understanding atomic normalization within deterministic transition systems. By interpreting atomic forms as morphisms in a structured category, the study reveals compositional laws, functorial behavior, and universal properties underlying normalization procedures. The categorical perspective unifies atomic transitions, routine forms, and structural metrics, providing a high‑level algebraic foundation for compositional computation and multi‑stage system analysis.
Keywords
categorical models, atomic normalization, morphisms, functorial structure, universal properties, compositional computation