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2025-03-20 12:31:58 UTC

Zhixuan Yang on Nostr: Deterministic automata ≅[𝔹, Set]: 🤩 Effectful automata≅[𝔹, Set_R]: 🤮 ...

Deterministic automata ≅[𝔹, Set]: 🤩
Effectful automata≅[𝔹, Set_R]: 🤮

(Set_R is the Kleisli category for an accessible monad R : Set -> Set. For example, R may be the finite powerset monad; in this case the automata are nondeterministic automata)

Throwing in a bit of effects seems to immediately destroy my topos-theoretic understanding of automata...