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In this paper, we define streaming register transducer (SRT), a one-way, letter-to-letter, transductional machine model for transformations of infinite data words whose data domain forms a linear group. Comparing with existing data word…

Formal Languages and Automata Theory · Computer Science 2020-01-22 Xiaokang Qiu

Functional transductions realized by two-way transducers (or, equally, by streaming transducers or MSO transductions) are the natural and standard notion of "regular" mappings from words to words. It was shown in 2013 that it is decidable…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Félix Baschenis , Olivier Gauwin , Anca Muscholl , Gabriele Puppis

We introduce streaming data string transducers that map input data strings to output data strings in a single left-to-right pass in linear time. Data strings are (unbounded) sequences of data values, tagged with symbols from a finite set,…

Programming Languages · Computer Science 2011-02-15 Rajeev Alur , Pavol Cerny

Traversals are commonly seen in tree data structures, and performance-enhancing transformations between tree traversals are critical for many applications. Existing approaches to reasoning about tree traversals and their transformations are…

Programming Languages · Computer Science 2019-10-28 Yanjun Wang , Jinwei Liu , Dalin Zhang , Xiaokang Qiu

The connection between languages defined by computational models and logic for languages is well-studied. Monadic second-order logic and finite automata are shown to closely correspond to each-other for the languages of strings, trees, and…

Logic in Computer Science · Computer Science 2014-07-01 Emmanuel Filiot , Shankara Narayanan Krishna , Ashutosh Trivedi

We report on a method for compiling decision trees into weighted finite-state transducers. The key assumptions are that the tree predictions specify how to rewrite symbols from an input string, and the decision at each tree node is…

cmp-lg · Computer Science 2008-02-03 Richard Sproat , Michael Riley

Linear extended top-down tree transducers (or synchronous tree-substitution grammars) are popular formal models of tree transformations. The expressive power of compositions of such transducers with and without regular look-ahead is…

Formal Languages and Automata Theory · Computer Science 2013-01-09 Zoltán Fülöp , Andreas Maletti

Functional transductions realized by two-way transducers (equivalently, by streaming transducers and by MSO transductions) are the natural and standard notion of "regular" mappings from words to words. It was shown recently (LICS'13) that…

Formal Languages and Automata Theory · Computer Science 2017-01-11 Félix Baschenis , Olivier Gauwin , Anca Muscholl , Gabriele Puppis

Many common sequential data sources, such as source code and natural language, have a natural tree-structured representation. These trees can be generated by fitting a sequence to a grammar, yielding a hierarchical ordering of the tokens in…

Machine Learning · Computer Science 2019-08-02 Jacob Harer , Chris Reale , Peter Chin

Compositions of tree-walking tree transducers form a hierarchy with respect to the number of transducers in the composition. As main technical result it is proved that any such composition can be realized as a linear bounded composition,…

Formal Languages and Automata Theory · Computer Science 2019-12-13 Joost Engelfriet , Kazuhiro Inaba , Sebastian Maneth

You might know that the name "tree transducers" refers to various kinds of automata that compute functions on ranked trees, i.e. terms over a first-order signature. But have you ever wondered about how to remember what a macro tree…

Formal Languages and Automata Theory · Computer Science 2024-09-12 Lê Thành Dũng Nguyên

Tree transducers are formal automata that transform trees into other trees. Many varieties of tree transducers have been explored in the automata theory literature, and more recently, in the machine translation literature. In this paper I…

Computation and Language · Computer Science 2012-03-29 Alex Rudnick

It is well known that attributed tree transducers can be equipped with "regular look-around" in order to obtain a more robust class of translations. We present two characterizations of this class in terms of macro tree transducers (MTTs):…

Formal Languages and Automata Theory · Computer Science 2022-09-16 Kenji Hashimoto , Sebastian Maneth

Automata-logic connections are pillars of the theory of regular languages. Such connections are harder to obtain for transducers, but important results have been obtained recently for word-to-word transformations, showing that the three…

Formal Languages and Automata Theory · Computer Science 2016-06-02 Luc Dartois , Emmanuel Filiot , Pierre-Alain Reynier , Jean-Marc Talbot

Call a string-to-string transducer regular if it can be realised by one of the following equivalent models: mso transductions, two-way deterministic automata with output, and streaming transducers with registers. This paper proposes to…

Formal Languages and Automata Theory · Computer Science 2013-09-25 Mikołaj Bojańczyk

We show that the equivalence of deterministic linear top-down tree-to-word transducers is decidable in polynomial time. Linear tree-to-word transducers are non-copying but not necessarily order-preserving and can be used to express XML and…

Formal Languages and Automata Theory · Computer Science 2016-06-14 Adrien Boiret , Raphaela Palenta

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…

Formal Languages and Automata Theory · Computer Science 2026-05-14 Christian Bianchini , Gabriele Puppis

Streaming generation models are utilized across fields, with the Transducer architecture being popular in industrial applications. However, its input-synchronous decoding mechanism presents challenges in tasks requiring non-monotonic…

Computation and Language · Computer Science 2025-05-29 Zhengrui Ma , Yang Feng , Min Zhang

The semi-streaming model is a variant of the streaming model frequently used for the computation of graph problems. It allows the edges of an $n$-node input graph to be read sequentially in $p$ passes using $\tilde{O}(n)$ space. In this…

Data Structures and Algorithms · Computer Science 2020-01-22 Yi-Jun Chang , Martin Farach-Colton , Tsan-Sheng Hsu , Meng-Tsung Tsai

The pebble tree automaton and the pebble tree transducer are enhanced by additionally allowing an unbounded number of "invisible" pebbles (as opposed to the usual "visible" ones). The resulting pebble tree automata recognize the regular…

Formal Languages and Automata Theory · Computer Science 2018-09-18 Joost Engelfriet , Hendrik Jan Hoogeboom , Bart Samwel
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