
Mathematics for Safe AI
We don’t yet have known technical solutions to ensure that powerful AI systems interact as intended with real-world systems and populations. A combination of scientific world-models and mathematical proofs may be the answer to ensuring AI provides transformational benefit without harm.
Core beliefs
The core beliefs that underpin this opportunity space:
Future AI systems will be powerful enough to transformatively enhance or threaten human civilisation at a global scale —> we need as-yet-unproven technologies to certify that cyber-physical AI systems will deliver intended benefits while avoiding harms.
Given the potential of AI systems to anticipate and exploit world-states beyond human experience or comprehension, traditional methods of empirical testing will be insufficiently reliable for certification —> mathematical proof offers a critical but underexplored foundation for robust verification of AI.
It will eventually be possible to build mathematically robust, human-auditable models that comprehensively capture the physical phenomena and social affordances that underpin human flourishing —> we should begin developing such world models today to advance transformative AI and provide a basis for provable safety
Observations
Some signposts as to why we see this area as important, underserved, and ripe.


Programme spotlight: Safeguarded AI
As AI becomes more capable, it has the potential to power scientific breakthroughs, enhance global prosperity, and safeguard us from disasters. But only if it’s deployed wisely.
Current techniques working to mitigate the risk of advanced AI systems have serious limitations, as they can’t be relied upon in practice to ensure reliability and safety.
Backed by £59m, this programme looks to combine scientific world models and mathematical proofs ARIA is looking to construct a ‘gatekeeper’ – an AI system designed to understand and reduce the risks of other AI agents. If successful, we’ll unlock the full economic and social benefits of advanced AI systems while minimising risks.
Explore our other opportunity spaces
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