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Proof of `Two-way transducers are closed under pre-composition with Mealy machines`

groundedproofs/Lax916827Proofs/Results.lean · lax-916827

What this proof establishes

no assumptions

Assuming the claims on the left, the claim on the right holds — checked by the archive's pipeline. Proof code is not displayed here.

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In the paper

Description

Two-way transducers are closed under pre-composition with Mealy machines (Lemma C.2.6): the Krohn–Rhodes decomposition of Part A reduces to reversible and flip-flop machines (Transducers.twoWayprecompmealyTransducers.twoWay_precomp_mealy); Part A's bridge transports IsMealyIsMealy.

Attribution

Lemma C.2.6 of Transducers, Part C; formalised by Aristotle (Harmonic), PartC/TwoWayPrecomp.leanPartC/TwoWayPrecomp.lean.