Exact interfaces for modular autocatalytic networks All certificates, chain balances and finite messages use rational/finite arithmetic. At q=4: N1+N1 infeasible; N2+N1 feasible Two-port coefficients: {'forward': '800/1489', 'backward': '400/4467', 'left_leak': '888/1489', 'right_leak': '587/4467'} Internal steady residuals: (Fraction(0, 1), Fraction(0, 1), Fraction(0, 1)) Star states: {1: 'extinction', 2: 'growth', 3: 'growth', 4: 'growth'} Valid finite message: [(0,), (1,)] Invalid join tree: Running intersection fails at left Cardinality-summary collision, context verdicts: [True, False] Not a re-execution of the Lean proofs; not a nonlinear kinetic model.