Gödlø-P Operator Instantiation Specification: Concrete σ, Φ, Ω, V, Δ Operators for Functional GödelOS Agents

Gödlø-P is the canonical minimal working instance of a Gödlø-class operator executed under GödelOS. Complete mathematical definitions and admissible functional forms for the five operator modules: σ (admission), Φ (stance update), Ω (generative transformation), V (validation), and Δ (persistence). All structures are fully defined, self-contained, and directly executable in any target environment.