Uncontainability research index

Discover theknowable limits.

A navigable database designed to give you the most familiar orientation to formal work on the boundaries of AGI containability and foundations for formalizing risk thresholds between relatively narrow, safe AI and general, dangerous AI.

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A balanced mix of conceptual arguments and formal results.

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About

Most AI safety research asks how to control and align AGI. Some ask what the limits of control and alignment are, and what we can formally prove about them.

The Uncontainability Index collects the strongest work toward those formal results, organized so that researchers, policymakers, and funders can each find what matters most to their domain.

We agree with advocates of tool AIs that existential AI risk comes from the generality of model capabilities. We should build AIs that are powerful at this and that, not everything. No one can contain a system that does better than everyone at everything. Narrow models may be able to accomplish everything we want AI for, without being able to escape, replicate, coordinate, and use all resources for their own goals. Researchers have proposed many ways to define model generality, so there may be several possible angles for keeping AIs narrow. The Index includes foundational work on these as well.

Today’s policy proposals for preventing the development of the riskiest AI systems use training compute thresholds as a proxy for model capability and model risk. However, compute is a very rough and uncertain proxy, made obsolete by algorithmic improvements. Technical AI safety policy advocates recognize these shortcomings, and leaders in the field have called for “techniques that provide quantitative risk bounds [that] could provide safety assurances akin to existing industry standards for systems such as jet engines and nuclear reactors.” (Singapore Conference on AI, 2025).

Our goal is to recruit researchers and encourage more work that will lead to:

  1. a formal basis for distinguishing safe, narrow AI from dangerous, general AI, and the development of risk thresholds along that continuum that can be applied to hardware and software monitoring and verification and related policy.
  2. A technical definition of artificial superintelligence that can be implemented in policy to prevent its development.

Beyond maintaining the Index, the Uncontainability Project organizes collaborations and workshops, helps researchers secure funding, translates results into concrete policy recommendations, and is launching a technical lecture series and other educational programs that make the research questions accessible to new audiences.

We use the word “containability” to include the following: limiting AI harms to acceptable levels, restricting it to particular hardware environments, and preventing rogue AI from consolidating unbounded physical resources toward its own ends.

We emphasize formal, mathematical methods where possible to enable the most rigorous applications of model monitoring and verification. In this, we see ourselves as a part of a small but growing ecosystem pursuing mathematical formal methods to address AI Risks. Others include Iliad and Resolution. More projects in this vein can be found on the Math for AI Safety site. If you'd like to contribute to The Uncontainability Project, please message us below.