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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

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

It is decidable for deterministic MSO definable graph-to-string or graph-to-tree transducers whether they are equivalent on a context-free set of graphs.

Logic in Computer Science · Computer Science 2007-05-23 Joost Engelfriet , Sebastian Maneth

Visibly pushdown transducers form a subclass of pushdown transducers that (strictly) extends finite state transducers with a stack. Like visibly pushdown automata, the input symbols determine the stack operations. In this paper, we prove…

Formal Languages and Automata Theory · Computer Science 2015-05-18 Emmanuel Filiot , Jean-François Raskin , Pierre-Alain Reynier , Frédéric Servais , Jean-Marc Talbot

The class of Boolean combinations of tree languages recognized by deterministic top-down tree automata (also known as deterministic root-to-frontier automata) is studied. The problem of determining for a given regular tree language whether…

Formal Languages and Automata Theory · Computer Science 2024-01-15 Christof Löding , Wolfgang Thomas

We study monoidal transducers, transition systems arising as deterministic automata whose transitions also produce outputs in an arbitrary monoid, for instance allowing outputs to commute or to cancel out. We use the categorical framework…

Formal Languages and Automata Theory · Computer Science 2025-10-15 Quentin Aristote

The field of machine translation has progressed tremendously in recent years. Even though the translation quality has improved significantly, current systems are still unable to produce uniformly acceptable machine translations for the…

Computation and Language · Computer Science 2020-05-11 Meng Zhang , Xin Jiang , Yang Liu , Qun Liu

We prove the existence of a canonical form for semi-deterministic transducers with incomparable sets of output strings. Based on this, we develop an algorithm which learns semi-deterministic transducers given access to translation queries.…

Machine Learning · Computer Science 2016-10-12 Achilles Beros , Colin de la Higuera

The question whether P equals NP revolves around the discrepancy between active production and mere verification by Turing machines. In this paper, we examine the analogous problem for finite transducers and automata. Every nondeterministic…

Computational Complexity · Computer Science 2021-05-03 Elisabet Burjons , Fabian Frei , Martin Raszyk

This paper examines efficient predictive broad-coverage parsing without dynamic programming. In contrast to bottom-up methods, depth-first top-down parsing produces partial parses that are fully connected trees spanning the entire left…

Computation and Language · Computer Science 2007-05-23 Brian Roark , Mark Johnson

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

We describe a "top down" approach for automated theorem proving (ATP). Researchers might usefully investigate the forms of the theorems mathematicians use in practice, carefully examine how they differ and are proved in practice, and code…

Logic in Computer Science · Computer Science 2023-08-09 C. E. Larson , N. Van Cleemput

We study the intrinsic transformation of feature maps across convolutional network layers with explicit top-down control. To this end, we develop top-down feature transformer (TFT), under controllable parameters, that are able to account…

Computer Vision and Pattern Recognition · Computer Science 2018-11-06 Zhiwei Jia , Haoshen Hong , Siyang Wang , Kwonjoon Lee , Zhuowen Tu

Higher-order pushdown systems and ground tree rewriting systems can be seen as extensions of suffix word rewriting systems. Both classes generate infinite graphs with interesting logical properties. Indeed, the model-checking problem for…

Formal Languages and Automata Theory · Computer Science 2015-02-17 Vincent Penelle

Visibly pushdown transducers (VPTs) are visibly pushdown automata extended with outputs. They have been introduced to model transformations of nested words, i.e. words with a call/return structure. As trees and more generally hedges can be…

Formal Languages and Automata Theory · Computer Science 2013-11-25 Mathieu Caralp , Emmanuel Filiot , Pierre-Alain Reynier , Frédéric Servais , Jean-Marc Talbot

We compare classes of finite relational structures via monadic second-order transductions. More precisely, we study the preorder where we set C \subseteq K if, and only if, there exists a transduction {\tau} such that C\subseteq{\tau}(K).…

Logic · Mathematics 2015-07-01 Achim Blumensath , Bruno Courcelle

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 show the diagonal problem for higher-order pushdown automata (HOPDA), and hence the simultaneous unboundedness problem, is decidable. From recent work by Zetzsche this means that we can construct the downward closure of the set of words…

Formal Languages and Automata Theory · Computer Science 2015-11-06 Matthew Hague , Jonathan Kochems , C. -H. Luke Ong

This paper proposes a definition of recognizable transducers over monads and comonads, which bridges two important ongoing efforts in the current research on regularity. The first effort is the study of regular transductions, which extends…

Formal Languages and Automata Theory · Computer Science 2024-07-04 Rafał Stefański

Modifications of the authors' previously-published, generalized, lumped-element, reflectionless filter topologies are presented which remove the original constraints on the relative values of its prototype parameters. Thus, any transfer…

Instrumentation and Methods for Astrophysics · Physics 2018-07-03 Matthew A. Morgan , Wavley M. Groves , Tod A. Boyd