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math.LO2025
Difference-restriction algebras with operators
Célia Borlido, Ganna Kudryavtseva, Brett McLean
We exhibit an adjunction between a category of abstract algebras of partial functions that we call difference-restriction algebras and a category of Hausdorff étale spaces. Differ…
math.LO2024
Complete representation by partial functions for signatures containing antidomain restriction
Brett McLean
We investigate notions of complete representation by partial functions, where the operations in the signature include antidomain restriction and may include composition, intersecti…