Oracle modalities are the least forcing a predicate, every modality is an oracle modality via adjoint retraction to containers, and sheaves are algebras for the monad of quotient-inductive computation trees.
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Sheaves as oracle computations
Oracle modalities are the least forcing a predicate, every modality is an oracle modality via adjoint retraction to containers, and sheaves are algebras for the monad of quotient-inductive computation trees.