Definability Results for Top-Down Tree Transducers

Published 31 May 2021 in cs.FL | (2105.14860v1)

Abstract: We prove that for a given deterministic top-down transducer with look-ahead it is decidable whether or not its translation is definable (1)~by a linear top-down tree transducer or (2)~by a tree homomorphism. We present algorithms that construct equivalent such transducers if they exist.

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