Draft — mutable and not usable as a dependency; its citation marks the draft state.

Proof of `Rational functions are computed by unambiguous automata`

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.

Read the Lean proof on GitHub

Description

A rational function is computed by an unambiguous automaton (Theorem B.2.3, (1) ⇒ (2)), from the uniformisation construction of the source.

Attribution

Theorem B.2.3 of Transducers (Eilenberg); Lean proof by Aristotle (PartB/Unambig.leanPartB/Unambig.lean, PartB/Uniform.leanPartB/Uniform.lean).