Inconsistency Accumulation in Forward-Local Sequential Policies: A Lower Bound under Delayed Constraints

Stochastic extension of the Non-Locality of Extendability (NEO) theorem with a quantitative inconsistency-accumulation lower bound E[I_N] ≥ N/|U| and a matching positive representational result — the Summary Sufficiency proposition — that closes the impossibility gap. Introduces the admissibility-dynamics framework on which the program's subsequent recursive-scaffolding and empirical-validation results build. Abstract We characterize an architectural fault-line in sequential decision-making under delayed constraints, separating forward-local policies — policies that select actions using only a bounded trailing observation window — from policies equipped with a sequentially updatable extendability-preserving…