finite-state-systems

Constructive classification of incidence full coupled graph dynamics with a complete parity invariant, exact local complementation, polynomial canonicalization, and reproducible verification — Shunyaya Structural Discovery Demonstration.

Exact classification of reversible monochromatic triangle dynamics on complete graphs for all n >= 6, with a complete degree parity and mod 3 invariant, constructive stabilization, exact orbit growth, and reproducible verification - Shunyaya Orbit Stabilization Theory.

Exact finite mathematics of how rulebooks with identical present behavior become distinguishable under whole-rule failures and continuation probes, with dual natural/isolation observers, exact reconstruction, universal Pareto-frontier representation, sharp resource-cost laws, and reproducible verification — Shunyaya Rule Continuation Geometry.

Mathematics that can be rebuilt — a finite mathematical framework for reconstructing theorem systems under failures, with a universal continuation classification by canonical normal forms, constructive distinguishing continuations, bounded-width algorithms, and reproducible verification — Shunyaya Theorem Reproducibility Framework.