Compositions of tree series transformations
نویسندگان
چکیده
منابع مشابه
Compositions of tree series transformations
Tree series transformations computed by bottom-up and top-down tree series transducers are called bottomup and top-down tree series transformations, respectively. (Functional) compositions of such transformations are investigated. It turns out that the class of bottom-up tree series transformations over a commutative and complete semiring is closed under left-composition with linear bottom-up t...
متن کاملCompositions of Bottom-Up Tree Series Transformations
Tree series transformations computed by bottom-up tree series transducers are called bottom-up tree series transformations. (Functional) compositions of such transformations are investigated. It turns out that bottom-up tree series transformations over commutative and א0-complete semirings are closed under left-composition with linear bottom-up tree series transformations and right-composition ...
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We investigate the tree-series-to-tree-series (ts-ts) transformation computed by tree series transducers. Unless the used semiring is complete, this transformation is, in general, not well-defined. In practice, many used semirings are not complete (like the probability semiring). We establish a syntactical condition that guarantees well-definedness of the ts-ts transformation in arbitrary commu...
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Tree series transformations computed by polynomial topdown and bottom-up tree series transducers are considered. The hierarchy of tree series transformations obtained in [Fülöp, Gazdag, Vogler: Hierarchies of Tree Series Transformations. Theoret. Comput. Sci. 314(3), p. 387–429, 2004] for commutative izz-semirings (izz abbreviates idempotent, zero-sum and zero-divisor free) is generalized to ar...
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We consider (subclasses of) polynomial bottom-up and top-down tree series transducers over a partially ordered semiring A = (A,⊕, ,0,1, ), and we compare the classes of tree-to-tree-series and o-tree-to-tree-series transformations computed by such transducers. Our main result states the following. If, for some a ∈ A with 1 a, the semiring A is a weak a-growth semiring and either (i) the semirin...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 2006
ISSN: 0304-3975
DOI: 10.1016/j.tcs.2006.08.026