The Artificial Intelligence Modelling Lab (AIML) engages in a range of theoretical and applied research in Artificial Intelligence (AI) and Machine Learning (ML). Particular areas of interest include interactive theorem proving, formal modelling and verification, machine learning and its combination with higher level symbolic reasoning, as well as its application to healthcare and other complex, real-world domains.
News
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Reconstruction of Euler’s proof published in the AFP
12th June 2026
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IsaGrad paper accepted at LogicNN 2026
4th June 2026
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The Gelfand–Naimark–Segal Construction published in the AFP
31st May 2026
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New pre-print out on the pitfalls in understanding the clustering of multiple long-term conditions
21st May 2026
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New pre-print out on a proof of concept study on integrated physiological and activity monitoring
2nd May 2026
Some of our Existing and Past External Engagements

Recent Events
IsaGrad: Verified Automatic Differentiation over Computational Graphs in Imperative HOL
We present IsaGrad, a formalisation of scalar reverse automatic differentiation (RAD) over mutable reference-based computational graphs using the Imperative HOL library of Isabelle, and verify its functional correctness using separation logic.
GradSTL: Comprehensive Signal Temporal Logic for Neurosymbolic Reasoning and Learning
We present GradSTL, the first fully comprehensive implementation of signal temporal logic (STL) suitable for integration with neurosymbolic learning.
Speaker: Mark Chevallier
Edinburgh Science Festival: Who wants to live forever?
Life-spans across the world are increasing, but this often overlooks the health-span: the period of life spent healthy and disease-free. So how do we ensure that later life is a healthy life?