I2OS Structural Admissibility

A Transition-Based Security Framework for Generative Systems

Security = Admissible Transition Only

Hallucination = Unsupported State Transition

📄Read Full Paper (PDF) 🧾 LaTeX Source

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Core Idea

Security ≠ Filter Output
Security = Admissible Transition Only

Key Insight

Hallucination = Unsupported State Transition

Instead of detecting false outputs after generation, we prevent structurally invalid transitions before execution. Structural Admissibility is a transition-based security framework for generative systems.
Instead of filtering outputs after generation, it allows execution only when a state transition is structurally admissible.

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Key Definition

$$GO = 1[C(S_t, T, S_{t+1}) = 1]$$

A system is allowed to act only when its transition from current state to next state is structurally valid.

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LLM Security Use Case

Hallucination is reformulated as:

Hallucination = Unsupported State Transition

Instead of treating hallucination only as a false statement after generation, the framework blocks unsupported transitions before output.

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Applications

• LLM hallucination suppression
• Secure generative AI
• Autonomous agent safety
• Financial execution systems
• Discourse analysis frameworks
• Structural security modeling

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Repository Structure

paper/       LaTeX source, references, PDF
figures/     Architecture and experimental diagrams
experiments/ LLM prompt tests and result templates
examples/    Applied examples

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Citation

@article{i2os_structural_admissibility_2026,
  title={Structural Admissibility: An I2OS Framework for Secure Generative Systems},
  author={Masayuki Ando},
  year={2026}
}

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Note

This repository publishes the structural security framework.
Core generation mechanisms may remain abstract or implementation-specific by design.