Proof of `Every regular function is computed by a two-way transducer`
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.
In the paper
- page 97 of the paper of lax-157538, Transducers
Description
Every regular function is computed by a two-way transducer (Corollary C.2.8): induction on the composition tree with Theorem C.2.5 and Corollary C.2.7, and explicit two-way transducers for map reverse and map duplicate ().
Attribution
Corollary C.2.8 of Transducers, Part C; formalised by Aristotle (Harmonic), , .