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Avinash A

@Avinash

Avinash A. Independent Researcher | Formal Methods & AI Safety, a mathematical researcher specializing in the structural limits of AI alignment. The architect of the Terminal Boundary Systems (TBS) framework, which applies Category Theory to identify fundamental "safety ceilings" in agentic AI. My core work includes the ASE (Absolute Self-Explanation) Impossibility Theorem, a formal proof using Symmetric Monoidal Closed Categories and Lawvere’s Fixed-Point Theorem to demonstrate why total internal transparency is mathematically unreachable. Currently, focused on the Agda formalization of these results to provide a machine-verifiable "Axiomatic Audit" for frontier AI labs. Research aims to bridge the "missing link" between categorical logic and robust, human-centric AI autonomy.

Contact on - contact.avinash075@gmail.com
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Projects

Terminal Boundary Systems and the Limits of Self-Explanation

Comments

AURA Protocol: Measurable Alignment for Autonomous AI Systems
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Avinash A

10 days ago

Hi Mackenzie—your TRIAD kernel nails the boundary failure I prove in TBS.

Anchor = my Yoneda(1) truth

Ascent = explanation functor E that can't close

Fold = correction when E(1)≠1 (the impossibility)

Your drift detection shows exactly when categorical self-explanation breaks down.

Alignment as epistemic system governance under compression
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Avinash A

10 days ago

Complementary to my TBS impossibility (E(1)≁1 blocks absolute self-explanation): your ∆SEC operationalizes exactly when coalitional "explanation" lacks Yoneda warrant.

TBS proves no terminal self-explanation exists; you measure when action claims it anyway. Perfect pairing—happy to connect categorical boundaries to your SER diagnostics.

Boundary-Mediated Models of LLM Hallucination and Alignment
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Avinash A

10 days ago

Strong synergy with my Terminal Boundary Systems (TBS) work—your Generate–Conserve–Transform architecture operationalizes the categorical "terminal boundary" obstructions I formalize in Agda (see my Manifund: Formalizing the "Safety Ceiling"). Hallucinations as "irreversible boundary writes" map directly to TBS's E(1) ≁ 1 failure.

Excited to see empirical tests. Happy to discuss Yoneda-structured truth predicates for your latent space analysis.

Terminal Boundary Systems and the Limits of Self-Explanation
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Avinash A

23 days ago

"Hi @evhub and @austin — I’d appreciate a technical 'sanity check' on this project.

My core claim is that 'Absolute Self-Explanation' (ASE) is a mathematical impossibility for agentic systems, which I've modeled as a naturality failure at the terminal boundary within Symmetric Monoidal Closed Categories. I am currently formalizing this in Agda to prove that certain superalignment goals are structurally unreachable.

Given your work on deceptive alignment and agent foundations, I'd value your perspective on whether machine-verifying these 'No-Go Theorems' is a high-priority bottleneck for the field. I've self-funded for 6 years and am now seeking a 3-month sprint to finalize the Agda code. Papers attached in the description."