Semirings, automata, languages
Semirings, automata, languages
Information and Computation
Rational series and their languages
Rational series and their languages
Finite tree automata with cost functions
Theoretical Computer Science - Selected papers of the 17th Colloquium on Trees in Algebra and Programming (CAAP '92) and of the European Symposium on Programming (ESOP), Rennes, France, Feb. 1992
Tree automata for code selection
Acta Informatica
Semirings and formal power series: their relevance to formal languages and automata
Handbook of formal languages, vol. 1
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Handbook of formal languages, vol. 3
Term rewriting and all that
The transducers and formal tree series
Acta Cybernetica
Macro tree transducers, attribute grammars, and MSO definable tree translations
Information and Computation
A comparison of tree transductions defined by monadic second order logic and by attribute grammars
Journal of Computer and System Sciences
Automata, Languages, and Machines
Automata, Languages, and Machines
Syntax-Directed Semantics: Formal Models Based on Tree Transducers
Syntax-Directed Semantics: Formal Models Based on Tree Transducers
Automata: Theoretic Aspects of Formal Power Series
Automata: Theoretic Aspects of Formal Power Series
Finite Tree Automata with Cost Functions
CAAP '92 Proceedings of the 17th Colloquium on Trees in Algebra and Programming
Journal of Automata, Languages and Combinatorics - Special issue: Selected papers of the workshop weighted automata: Theory and applications (Dresden University of Technology (Germany), March 4-8, 2002)
Determinization of finite state weighted tree automata
Journal of Automata, Languages and Combinatorics
Hierarchies of tree series transformations
Theoretical Computer Science
Journal of Automata, Languages and Combinatorics
Hasse diagrams for classes of deterministic bottom-up tree-to-tree-series transformations
Theoretical Computer Science
Compositions of tree series transformations
Theoretical Computer Science
Incomparability results for classes of polynomial tree series transformations
Journal of Automata, Languages and Combinatorics
Tree-Series-to-Tree-Series Transformations
CIAA '08 Proceedings of the 13th international conference on Implementation and Applications of Automata
Computational Linguistics
Parsing and translation algorithms based on weighted extended tree transducers
ATANLP '10 Proceedings of the 2010 Workshop on Applications of Tree Automata in Natural Language Processing
Input products for weighted extended top-down tree transducers
DLT'10 Proceedings of the 14th international conference on Developments in language theory
An alternative to synchronous tree substitution grammars*
Natural Language Engineering
Tree transformations and dependencies
MOL'11 Proceedings of the 12th biennial conference on The mathematics of language
Does o-substitution preserve recognizability?
CIAA'06 Proceedings of the 11th international conference on Implementation and Application of Automata
The power of tree series transducers of type i and II
DLT'05 Proceedings of the 9th international conference on Developments in Language Theory
Code selection by tree series transducers
CIAA'04 Proceedings of the 9th international conference on Implementation and Application of Automata
Relating tree series transducers and weighted tree automata
DLT'04 Proceedings of the 8th international conference on Developments in Language Theory
Hierarchies of tree series transformations revisited
DLT'06 Proceedings of the 10th international conference on Developments in Language Theory
Equational weighted tree transformations with discounting
Algebraic Foundations in Computer Science
Survey: weighted extended top-down tree transducers part iii - composition
Algebraic Foundations in Computer Science
Weighted Extended Tree Transducers
Fundamenta Informaticae
Survey: Weighted Extended Top-down Tree Transducers Part II—Application in Machine Translation
Fundamenta Informaticae - Non-Classical Models of Automata and Applications II
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We generalize bottom-up tree transducers and top-down tree transducers to the concept of bottom-up tree series transducer and top-down tree series transducer, respectively, by allowing formal tree series as output rather than trees, where a formal tree series is a mapping from output trees to some semiring. We associate two semantics with a tree series transducer: a mapping which transforms trees into tree series (for short: tree to tree series transformation or t-ts transformation), and a mapping which transforms tree series into tree series (for short: tree series transformation or ts-ts transformation).We show that the standard case of tree transducers is reobtained by choosing the boolean semiring under the t-ts semantics. Moreover, we show that certain fundamental constructions and results concerning bottom-up and top-down tree transducers can be generalized for the corresponding tree series transducers. Among others, we prove that polynomial bottom-up t-ts transformations can be characterized by the composition of finite state relabeling t-ts transformations and boolean homomorphism t-ts transformations. Moreover, we prove that every deterministic top-down t-ts transformation can be characterized by the composition of a boolean homomorphism t-ts transformation and a deterministic linear top-down t-ts transformation. We prove that deterministic top-down t-ts transformations are closed under right composition with nondeleting and linear deterministic top-down t-ts transformations and are closed under left composition with boolean and total deterministic top-down t-ts transformations. Finally we show that nondeleting linear bottom-up and nondeleting linear top-down tree series transducers generate the same t-ts transformation class.