Consumption Types and Dynamic Regimes in Constrained Generative Systems: Refinement of the Irreversibility Axiom and SCC Classification of Asymptotic Behavior

We refine the Irreversibility Axiom (Axiom 2) of the Constrained Generative Systems framework by distinguishing three consumption types: node-consumptive (T1), arc-consumptive (T2), and trajectory-consumptive (T3), according to what structural element is removed or accumulated by the consumption function. We then classify all possible asymptotic behaviors of trajectories in a CGS with finite state space into exactly four dynamic regimes — deterministic cycle (R1), branched attractor (R2), fixed point (R3), and finite acyclic trajectory (R4) — via the strongly connected component (SCC) decomposition of the transition graph. The classification is proved complete and minimal: no fifth regime exists, and no regime…