Hierarchies of tree series transformations (Q1826640)

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scientific article; zbMATH DE number 2081685
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Hierarchies of tree series transformations
scientific article; zbMATH DE number 2081685

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    Hierarchies of tree series transformations (English)
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    6 August 2004
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    We study bottom-up and top-down tree series transducers over a semiring A . We present an inclusion diagram and prove its correctness. This inclusion diagram implies the properness of four hierarchies. As the second main result we prove that the first two hierarchies are proper even for arbitrary (i.e., not necessarily commutative) izz-semirings.
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    Tree automata
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    Tree transducers
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    Tree series transducers
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