CNVS Extended Formal Theory

This updated version introduces a substantially refined and more rigorous formulation of the Closed Native Verification Systems (CNVS) framework. The revision strengthens the formal structure of the theory by clarifying the distinction between Local Verification and Global Verification, introducing a more explicit convergence function between internally declared data and externally reported observations, and improving the axiomatic formulation of verification-dependent existence, randomized non-uniform fragmentation, and the non-reducibility of global validity. The mathematical model has been revised to improve consistency across information-density measures, knowledge-restriction formulas, entropy-based expressions, and probabilistic security bounds. In particular, the updated version clarifies the role of weighted fragment utility, critical reconstruction thresholds, dependent collusion, adversarial inference, and the Global Veto Principle. This version also expands the theoretical apparatus with improved appendices, symbol tables, formula correspondence tables, fragmentation tables, and a terminological glossary designed to make the framework more readable and internally consistent. Additional attention has been given to adversarial models, semantic blindness, invariant-based rejection, and the distinction between local admissibility and global state validity. Overall, this release should be understood as a major consolidation of the CNVS theory: a more coherent, rigorous, and academically defensible version of the framework, intended to support future formal validation, Monte Carlo simulations, threat-model analysis, and further peer review.