

Opportunity space
Mathematics for Safe AI
Safeguarded AI
Backed by £59m, Safeguarded AI sits within the Mathematics for Safe AI opportunity space and aims to demonstrate a world where we can use fleets of AI agents to model and verify critical cyber and cyber-physical systems, radically boosting societal resilience.
Select to explore more:
TA1 Tooling
We can build an extendable, interoperable language and platform to maintain formal world models and specifications, and check proof certificates.
Meet the TA1.1 Creators (Theory)
Our TA1.1 Creators will look to unlock novel frontiers for representing different sources of uncertainty, with the ultimate goal of using this semantics to formally model and soundly over approximate a wide range of application domains and safety specifications, against which Safeguarded Al systems will later be verified. The intended output will be a single artefact that is a dissertation-length definition of these languages. With these mathematical representations and formal semantics in place, the programme's other TAs will produce world-models, safety specifications, and proof certificates.
Our TA1.1 Creators have been tasked with defining “syntax” (algebraic construction operators, and version-controllable serialisable data structures), and formal semantics, for language(s) that can be used by teams of humans – and, later, AI systems – to define “world models”, probabilistic specifications, neural network controllers, and proof certificates. These proof certificates present efficiently checkable arguments verifying that a controller composed with a world model satisfies its specification.
In convening this group, we’ve brought together a wide range of relevant expertise in mathematical modelling (across dynamical systems, imprecise probability, category theory, type theory proof theory and more), as well as expertise in domains that will ensure these approaches are commensurable and computationally practical.
Safety: Core representation underlying safeguarded AI
Team Lead: Ohad Kammar, University of Edinburgh
Axiomatic Theories of String Diagrams for Categories of Probabilistic Processes
Fabio Zanasi, University College London
SAINT: Safe AI ageNTs – Formal certification of AI agents in the world
Alessandro Abate, University of Oxford Team
ULTIMATE: Universal Stochastic Modelling, Verification and Synthesis Framework
Radu Calinescu, University of York
Quantitative Predicate Logic as a Foundation for Verified ML
Ekaterina Komendantskaya + Robert Atkey, University of Southampton/Heriot-Watt University; University of Strathclyde
Learning-Theoretic AI Safety
Vanessa Kosoy, Association of Long Term Existence and Resilience (ALTER)
Probabilistic Protocol Specification for Distributed Autonomous Processes
Nobuko Yoshida, University of Oxford
Philosophical Applied Category Theory
David Corfield, Independent Researcher
Double Categorical Systems Theory for Safeguarded AI
David Jaz Myers, Topos Research UK
Monoidal Coalgebraic Metrics
Filippo Bonchi, University of Pisa
Doubly Categorical Systems Logic: A theory of specification languages
Matteo Capucci, Independent Researcher
True Categorical Programming for Composable Systems Total
Jade Master + Zans Mihejevs, Glasgow Lab for AI Verification (GLAIVE)
Unified Automated Reasoning for Randomised Distributed Systems
Alexandra Silva, University College London + Cornell University
Employing Categorical Probability Towards Safe AI
Sam Staton, University of Oxford
Syntax and Semantics for Multimodal Petri Nets
Amar Hadzihasanovic, Tallinn University of Technology
Event Structures as World Models
Alex Kavvos, University of Bristol
Supermartingale Certificates for Temporal Logic
Mirco Giacobbe, University of Birmingham
Hyper-optimised Tensor Contraction for Neural Networks Verification
Stefano Gogioso, Hashberg Ltd
A Computational Mechanics Approach to World Models via Multi-Scale Compositional Abstractions
Fernando Rosas, University of Sussex
String Diagrammatic Probabilistic Logic: Specification and modelling languages
Pawel Sobocinski, Tallinn University of Technology
Profunctors: A unified semantics for safeguarded AI
Nicola Gambino, University of Manchester
Modal Types for Quantitative Analysis of Higher-Order Probabilistic Programs
Vineet Rajani + Dominic Orchard, University of Kent
The projects we have funded were selected from teams and individuals who applied to our previous funding calls for this programme. You can read more about these archived calls below.
- Watch the solicitation presentationCall for proposals (archived)
This solicitation focused on TA1.1 Theory, where we sought R&D Creators – individuals and teams that ARIA will fund and support – to research and construct computationally practicable mathematical representations and formal semantics to support world-models, specifications about state-trajectories, neural systems, proofs that neural outputs validate specifications, and “version control” (incremental updates or “patches”) thereof.
- Call for proposals (archived)
For TA 1.2, we sought Creators to develop the computational implementation of the theoretical frameworks being developed as part of TA 1.1 (the ‘Theory’).
For TA 1.3, we selected Creators to work on the ‘Human-Computer Interfaces’ that facilitate interaction between diverse human users and the systems being built in TA 1.2 and TA 2 (‘Machine Learning’).
- Watch the solicitation presentationCall for proposals (archived)
This solicitation sought teams from the economic, social, legal and political sciences to consider the sound socio-technical integration of Safeguarded AI systems.
These teams will work on problems that are plausibly critical to ensuring that the technologies developed as part of the programme will be used in the best interest of humanity at large, and that they are designed in a way that enables their governability through representative processes of collective deliberation and decision making.
- Call for proposals (archived)
This Technical Area has been cancelled as part of a strategic pivot.
ARIA initially launched a multi-phased solicitation for Technical Area 2 (TA2) to support the development of a general-purpose Safeguarded AI workflow. The programme aims to demonstrate that frontier AI techniques can be harnessed to create AI systems with verifiable safety guarantees. In TA2, we will award £18m to a non-profit entity to develop critical machine learning capabilities, requiring strong organisational governance and security standards.
Phase 1 funded up to 5 teams to spend 3.5 months to develop full Phase 2 proposals.
- Watch the solicitation presentationCall for proposals (archived)
The scope of this Technical Area has been repurposed into an updated TA2 focussing specifically on Applications.
The second funding call sought potential individuals or organisations interested in using our gatekeeper AI to build safeguarded products for domain-specific applications, such as optimising energy networks, clinical trials and telecommunication networks.
Safeguarded AI's success will depend on showing that our gatekeeper AI actually works in a safety-critical domain. The research teams selected for TA3 work with our other programme teams, global AI experts, academics and entrepreneurs, in setting the groundwork to deploy Safeguarded AI in one or more areas.
The Creator experience
What you can expect as an ARIA R&D creator.
Applicant guidance
Discover the process of applying for ARIA funding and find key resources.