English

Shape Preserving Tree Transducers

Formal Languages and Automata Theory 2025-06-30 v1

Abstract

It is shown that shape preservation is decidable for top-down tree transducers, bottom-up tree transducers, and for compositions of total deterministic macro tree transducers. Moreover, if a transducer is shape preserving, then it can be brought into a particular normal form, where every input node creates exactly one output node.

Keywords

Cite

@article{arxiv.2506.22047,
  title  = {Shape Preserving Tree Transducers},
  author = {Paul Gallot and Sebastian Maneth},
  journal= {arXiv preprint arXiv:2506.22047},
  year   = {2025}
}
R2 v1 2026-07-01T03:36:05.116Z