Minimization of Streaming Transducers

Fuente: arXiv
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Main Authors: Bianchini, Christian, Puppis, Gabriele
Format: Preprint
Published: 2026
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author Bianchini, Christian
Puppis, Gabriele
author_facet Bianchini, Christian
Puppis, Gabriele
contents We provide general criteria for the existence of minimal models of streaming transducers, namely devices that read an input word and produce an output value by iteratively updating an internal memory. This abstract model subsumes classical (sub)sequential transducers (Schützenberger), streaming string-to-string transducers (Alur-Černý), polynomial automata (Benedikt et al.), and variants of streaming string-to-tree transducers (Alur-D'Antoni). We then instantiate these criteria to obtain effective minimization results for variants of the latter model, where outputs are terms constructed incrementally by extending (tuples of) terms either at the leaves or at the roots.
format Preprint
id arxiv_https___arxiv_org_abs_2605_11190
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Minimization of Streaming Transducers
Bianchini, Christian
Puppis, Gabriele
Formal Languages and Automata Theory
Logic in Computer Science
We provide general criteria for the existence of minimal models of streaming transducers, namely devices that read an input word and produce an output value by iteratively updating an internal memory. This abstract model subsumes classical (sub)sequential transducers (Schützenberger), streaming string-to-string transducers (Alur-Černý), polynomial automata (Benedikt et al.), and variants of streaming string-to-tree transducers (Alur-D'Antoni). We then instantiate these criteria to obtain effective minimization results for variants of the latter model, where outputs are terms constructed incrementally by extending (tuples of) terms either at the leaves or at the roots.
title Minimization of Streaming Transducers
topic Formal Languages and Automata Theory
Logic in Computer Science
url https://arxiv.org/abs/2605.11190