Zero-Storage Procedural Neural Synthesis via Boundary Dynamics: Formal Verification in Lean 4 and Bare-Metal Gauntlet Validation

arXiv:2609.33066 · cs.LG, cs.AI, cs.CR, cs.LO · Submitted 2026-09-27 · Read on arXiv

cs.LG, cs.AI, cs.CR, cs.LO

Submitted: 2026-09-27

Updated: 2026-09-27

Comments: 7 pages, 2 tables, 1 listing. Formal verification in Lean 4 (v4.34.1, Mathlib4, 0 sorry). Ancillary files include Lean 4 proofs, Solidity contracts, and bare-metal 40-core gauntlet replication scripts

Code: https://github.com/pCwOrM/werracle

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Verification — 26× in this paper · explained in 2 episodes
• Formal Verification — 16× in this paper · explained in 2 episodes
• Core — 12× in this paper · explained in 2 episodes
• Ablation — 7× in this paper · explained in 1 episode
• Benchmark — 7× in this paper · explained in 2 episodes
• Axioms — 6× in this paper · explained in 2 episodes
• Accuracy — 3× in this paper · explained in 1 episode
• Ethereum Virtual Machine — 3× in this paper
• Aggregation — 2× in this paper · explained in 1 episode
• Degeneracy — 2× in this paper · explained in 3 episodes
• Generative AI — 2× in this paper · explained in 2 episodes
• Phase III Orbital Error Dynamics — 2× in this paper
• Robustness — 2× in this paper · explained in 5 episodes
• SMT solver — 2× in this paper · explained in 2 episodes
• Verifier — 2× in this paper · explained in 2 episodes
• Adversarial Robustness — 1× in this paper · explained in 3 episodes
• Algebraic Invariants — 1× in this paper · explained in 1 episode
• Computer Aided Verification — 1× in this paper
• Consistency — 1× in this paper · explained in 3 episodes
• Edge Deployment — 1× in this paper · explained in 2 episodes

Sources

• Universal Fractal Natural Language Decision Map: Real-Time Edge Triage Across Heterogeneous Domains
• Orbital Error Dynamics: Self-Organized Criticality, Ephemeral Parameter Resonance, and Non-Linear Biological Ontologies in Zero-Storage Neural Synthesis
• GPT-4 Technical Report
• Automated Market Making and Loss-Versus-Rebalancing

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