Formalizing the "Safety Ceiling": An Agda-Verified Impossibility Theorem for AI Alignment
Formalizing the "Safety Ceiling": An Agda-Verified Impossibility Theorem for AI Alignment
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Updated 06/11/26By grantmaking.aicreator
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Project Details
Updated 06/11/26By grantmaking.aiProject summary
Project Summary: I am an independent researcher who has developed theASE (Absolute Self-Explanation) Impossibility Theorem. UsingSymmetric Monoidal Closed Categories, I have proven that "Absolute Self-Explanation"—a prerequisite for many current superalignment strategies—is a mathematical impossibility for agentic systems. This research identifies structural failure points in AI architecture that empirical testing cannot catch. I am seeking $15,000 for a 3-month sprint to finalize theAgda formalization of these proofs and publish a machine-verifiable "Axiomatic Audit" for frontier AI labs.What are this project's goals?
How will this funding be used?
Why is this high-impact? Current safety efforts are "patching holes" in a boat. My research proves that the hull itself has a logical limit. By defining theTerminal Boundary, I help the ecosystem avoid a trillion-dollar "catastrophic fail" caused by trying to scale systems past their logical safety capacity.
What are this project's goals? How will you achieve them?
- Machine Verification: Translate the categorical proofs (Yoneda-theoretic naturality failure, Lawvere Fixed-Point obstructions) intoAgda to provide a mathematically certain "No-Go Theorem" for AI Safety.
- Define the "Safety Ceiling": Create a formal framework for labs (OpenAI, Anthropic) to identify which alignment goals are physically/logically impossible versus which are engineering challenges.
- The Human-AI "Missing Link": Develop a follow-up framework for "Open-Boundary Alignment," which models the missing logical connection between human intent and AI autonomy.\
How will this funding be used?
Stipend ($12,000): To support 3 months of full-time research and formalization, preventing my exit from the field due to financial constraints.
- Compute & Verification Tools ($2,000): For formal verification overhead and library development.
- Open-Source Publication ($1,000): To ensure all proofs and Agda libraries are publicly available for the AI Safety community.
- Why is this high-impact? Current safety efforts are "patching holes" in a boat. My research proves that the hull itself has a logical limit. By defining theTerminal Boundary, I help the ecosystem avoid a trillion-dollar "catastrophic fail" caused by trying to scale systems past their logical safety capacity.
Who is on your team? What's your track record on similar projects?
I am the sole principal investigator, operating as an independent researcher for 6 years. My track record is defined by high-conviction, self-funded deep work in the categorical foundations of AI safety.
- Project Evolution: Over the last 6 years, I have moved from theoretical abstractions to the development of theTerminal Boundary Systems (TBS) framework.
- Deliverables: I have produced two core technical papers ("Terminal Boundary Systems" and "The ASE Impossibility Theorem") and am currently developing a machine-verifiable formalization inAgda.
- Execution: Operating without institutional support for 6 years demonstrates a high level of research discipline, resourcefulness, and a long-term commitment to solving the most difficult 'Safety Ceiling' problems in AI."
What are the most likely causes and outcomes if this project fails?
Answer: Likely Causes of Project Failure:
- Formalization Bottleneck: The Agda formalization of Symmetric Monoidal Closed Categories is highly complex. Failure could occur if the translation from category theory to machine-verified code hits a 'complexity wall' that exceeds the current 3-month sprint timeline.
- Conceptual Friction: The AI safety community may struggle to adopt a 'structural limit' approach over the current 'empirical testing' paradigm.
Likely Outcomes of Project Failure:
- Field Risk: Without a proven 'Safety Ceiling,' labs will continue to pursueAbsolute Self-Explanation, a goal my theory suggests is mathematically impossible. This leads to afalse sense of security in AI alignment.
- Catastrophic Failure: If agentic systems are deployed without acknowledging these structural boundaries, we riskModal Collapse—where an AI's internal logic deviates from human reality in an unobservable, uncorrectable way.
- Personal Risk: My exit from the field. After 6 years of self-funding, a lack of institutional support would mean the permanent loss of this specific mathematical early-warning system for the safety community."\
How much money have you raised in the last 12 months, and from where?
Answer: "In the last 12 months, I have raised**$0 in external funding.** The project has been100% self-funded through my own personal resources and 6 years of dedicated research labor.
I have reached a 'critical mass' where the theoretical work is complete, but the computational formalization (Agda) requires dedicated runway that my personal resources can no longer sustain. I am seeking this grant to transition from an 'Independent Explorer' to a 'Funded Developer' of safety-critical formal tools."
"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."