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A transducer is finite-valued if for some bound k, it maps any given input to at most k outputs. For classical, one-way transducers, it is known since the 80s that finite valuedness entails decidability of the equivalence problem. This…

Formal Languages and Automata Theory · Computer Science 2025-05-14 Emmanuel Filiot , Ismaël Jecker , Christof Löding , Anca Muscholl , Gabriele Puppis , Sarah Winter

Copyless streaming string transducers (copyless SST) have been introduced by R. Alur and P. Cerny in 2010 as a one-way deterministic automata model to define transformations of finite strings. Copyless SST extend deterministic finite state…

Formal Languages and Automata Theory · Computer Science 2014-12-02 Emmanuel Filiot , Pierre-Alain Reynier

Any two-way finite state automaton is equivalent to some one-way finite state automaton. This well-known result, shown by Rabin and Scott and independently by Shepherdson, states that two-way finite state automata (even non-deterministic)…

Formal Languages and Automata Theory · Computer Science 2013-04-29 Emmanuel Filiot , Olivier Gauwin , Pierre-Alain Reynier , Frédéric Servais

Streaming Data String Transducers (SDSTs) were introduced to model a class of imperative and a class of functional programs, manipulating lists of data items. These can be used to write commonly used routines such as insert, delete and…

Formal Languages and Automata Theory · Computer Science 2020-12-15 M. Praveen

In this paper we provide a positive answer to a question left open by Alur and and Deshmukh in 2011 by showing that equivalence of finite-valued copyless streaming string transducers is decidable.

Formal Languages and Automata Theory · Computer Science 2019-05-01 Anca Muscholl , Gabriele Puppis

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

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

Transductions are binary relations of finite words. For rational transductions, i.e., transductions defined by finite transducers, the inclusion, equivalence and sequential uniformisation problems are known to be undecidable. In this paper,…

Formal Languages and Automata Theory · Computer Science 2016-03-01 Emmanuel Filiot , Ismaël Jecker , Christof Löding , Sarah Winter

We characterize regular string transductions as programs in a linear $\lambda$-calculus with additives. One direction of this equivalence is proved by encoding copyless streaming string transducers (SSTs), which compute regular functions,…

Logic in Computer Science · Computer Science 2023-04-06 Lê Thành Dũng Nguyên , Camille Noûs , Cécilia Pradic

We consider the synthesis of deterministic tree transducers from automaton definable specifications, given as binary relations, over finite trees. We consider the case of specifications that are deterministic top-down tree automatic,…

Formal Languages and Automata Theory · Computer Science 2014-08-27 Christof Löding , Sarah Winter

We show that equivalence of deterministic top-down tree-to-string transducers is decidable, thus solving a long standing open problem in formal language theory. We also present efficient algorithms for subclasses: polynomial time for total…

Formal Languages and Automata Theory · Computer Science 2017-01-30 Helmut Seidl , Sebastian Maneth , Gregor Kemper

The origin semantics for transducers was proposed in 2014, and led to various characterizations and decidability results that are in contrast with the classical semantics. In this paper we add a further decidability result for…

Formal Languages and Automata Theory · Computer Science 2021-01-21 Sougata Bose , S. N. Krishna , Anca Muscholl , Gabriele Puppis

Connectionist Temporal Classification (CTC) suffers from the latency problem when applied to streaming models. We argue that in CTC lattice, the alignments that can access more future context are preferred during training, thereby leading…

Audio and Speech Processing · Electrical Eng. & Systems 2023-05-22 Zengwei Yao , Wei Kang , Fangjun Kuang , Liyong Guo , Xiaoyu Yang , Yifan Yang , Long Lin , Daniel Povey

Neural transducers have been widely used in automatic speech recognition (ASR). In this paper, we introduce it to streaming end-to-end speech translation (ST), which aims to convert audio signals to texts in other languages directly.…

Computation and Language · Computer Science 2022-07-05 Jian Xue , Peidong Wang , Jinyu Li , Matt Post , Yashesh Gaur

A decade ago, Abdulla, Ben Henda and Mayr introduced the elegant concept of decisiveness for denumerable Markov chains [1]. Roughly speaking, decisiveness allows one to lift most good properties from finite Markov chains to denumerable…

Logic in Computer Science · Computer Science 2018-04-05 Nathalie Bertrand , Patricia Bouyer , Thomas Brihaye , Pierre Carlier

Streaming string transducers (SSTs) implement string-to-string transformations by reading each input word in a single left-to-right pass while maintaining fragments of potential outputs in a finite set of string variables. These variables…

Formal Languages and Automata Theory · Computer Science 2024-02-08 Rajeev Alur , Taylor Dohmen , Ashutosh Trivedi

In this paper, we investigate the performance analysis and synthesis of distributed system throttlers (DST). A throttler is a mechanism that limits the flow rate of incoming metrics, e.g., byte per second, network bandwidth usage, capacity,…

Systems and Control · Computer Science 2017-06-30 Milad Siami , Joëlle Skaf

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

Using end-to-end models for speech translation (ST) has increasingly been the focus of the ST community. These models condense the previously cascaded systems by directly converting sound waves into translated text. However, cascaded models…

Computation and Language · Computer Science 2021-01-25 Orion Weller , Matthias Sperber , Christian Gollan , Joris Kluivers

We study two formalisms that allow to compare transducers over words under origin semantics: rational and regular resynchronizers, and show that the former are captured by the latter. We then consider some instances of the following…

Formal Languages and Automata Theory · Computer Science 2019-06-26 Sougata Bose , Shankara Narayanan Krishna , Anca Muscholl , Vincent Penelle , Gabriele Puppis
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