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Proof of `Weighted automata are closed under pre-composition with rational functions`

groundedproofs/Lax132576Proofs/Results.lean · lax-132576

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

Weighted automata are closed under pre-composition with rational functions (Lemma B.3.5), by the product with an unambiguous ε-free automaton (Transducers.weightedprecomprationalTransducers.weighted_precomp_rational).

Attribution

Lemma B.3.5 of Transducers; Lean proof by Aristotle (PartB/WeightedPrecomp.leanPartB/WeightedPrecomp.lean).