3 papers
quant-ph2021
CPM Categories for Galois Extensions
James Hefford, Stefano Gogioso
By considering a generalisation of the CPM construction, we develop an infinite hierarchy of probabilistic theories, exhibiting compositional decoherence structures which generalis…
quant-ph2020
The Safari of Update Structures: Visiting the Lens and Quantum Enclosures
Matthew Wilson, James Hefford, Guillaume Boisseau +1
We build upon our recently introduced concept of an update structure to show that it is a generalisation of very-well-behaved lenses, that is, there is a bijection between a strict…
cs.CL2020
Categories of Semantic Concepts
James Hefford, Vincent Wang, Matthew Wilson
Modelling concept representation is a foundational problem in the study of cognition and linguistics. This work builds on the confluence of conceptual tools from Gärdenfors semanti…