AI RESEARCH

A Dynamical Framework for Cognitive Processes Based on Transformations and Semantic Equivalence

arXiv CS.AI

ArXi:2605.23942v1 Announce Type: new This paper proposes a structural and dynamical framework for modeling cognitive processes within a cybernetic perspective. Cognitive states are represented as elements of a state space evolving through an iterative update rule of the form X_{t+1} = \pi\big(F(f(X_t))\big), where $f$ describes internal transformations, $F$ represents interpretative mappings, and $\pi$ enforces semantic equivalence. The model is interpreted as a feedback system integrating transformation, observation, and stabilization.