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math.LO2025
Dependent Types Simplified
Tristan Bice
We present two logical systems based on dependent types that are comparable to ZFC, both in terms of simplicity and having natural set theoretic interpretations. Our perspective is…
math.LO2018
General Non-Commutative Locally Compact Locally Hausdorff Stone Duality
Tristan Bice, Charles Starling
We extend the classical Stone duality between zero dimensional compact Hausdorff spaces and Boolean algebras. Specifically, we simultaneously remove the zero dimensionality restric…