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math.LO2023
The Intermediate Logic of Convex Polyhedra
Sam Adam-Day, Nick Bezhanishvili, David Gabelaia +1
We investigate a recent semantics for intermediate (and modal) logics in terms of polyhedra. The main result is a finite axiomatisation of the intermediate logic of the class of al…
cs.LG2023
Zero-One Laws of Graph Neural Networks
Sam Adam-Day, Theodor Mihai Iliant, İsmail İlkan Ceylan
Graph neural networks (GNNs) are the de facto standard deep learning architectures for machine learning on graphs. This has led to a large body of work analyzing the capabilities a…