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Mazurkiewicz traces describe concurrent behaviors of distributed systems. Trace-closed word languages, which are "linearizations" of trace languages, constitute a weaker notion of concurrency but still give us tools to investigate the…

Formal Languages and Automata Theory · Computer Science 2014-02-14 Namit Chaturvedi , Marcus Gelderie

We study the strength of axioms needed to prove various results related to automata on infinite words and B\"uchi's theorem on the decidability of the MSO theory of $(N, {\le})$. We prove that the following are equivalent over the weak…

Logic in Computer Science · Computer Science 2023-06-22 Leszek Kołodziejczyk , Henryk Michalewski , Cécilia Pradic , Michał Skrzypczak

Absolutely representing system (ARS) in a Banach space $X$ is a set $D \subset X$ such that every vector $x$ in $X$ admits a representation by an absolutely convergent series $x = \sum_i a_i x_i$ with $(a_i)$ reals and $(x_i) \subset D$. We…

Functional Analysis · Mathematics 2007-05-23 R. Vershynin

A notion of alternating timed automata is proposed. It is shown that such automata with only one clock have decidable emptiness problem over finite words. This gives a new class of timed languages which is closed under boolean operations…

Logic in Computer Science · Computer Science 2007-05-23 Slawomir Lasota , Igor Walukiewicz

We solve some decision problems for timed automata which were recently raised by S. Tripakis in [ Folk Theorems on the Determinization and Minimization of Timed Automata, in the Proceedings of the International Workshop FORMATS'2003, LNCS,…

Logic in Computer Science · Computer Science 2007-12-11 Olivier Finkel

We consider simulation games played between Spoiler and Duplicator on two B\"uchi automata in which the choices made by Spoiler can be buffered by Duplicator in several buffers before she executes them on her structure. We show that the…

Formal Languages and Automata Theory · Computer Science 2016-09-15 Milka Hutagalung , Norbert Hundeshagen , Dietrich Kuske , Martin Lange , Etienne Lozes

We show that many classical decision problems about 1-counter omega-languages, context free omega-languages, or infinitary rational relations, are $\Pi_2^1$-complete, hence located at the second level of the analytical hierarchy, and…

Logic in Computer Science · Computer Science 2009-08-04 Olivier Finkel

In this paper, different variants of reversible finite automata are compared, and their hierarchy by the expressive power is established. It is shown that one-way reversible automata with multiple initial states (MRFA) recognize strictly…

Formal Languages and Automata Theory · Computer Science 2024-11-25 Maria Radionova , Alexander Okhotin

We present an auditory stimulus optimization and a pilot study of a two-step input speller application combined with a spatial auditory brain-computer interface (saBCI) for paralyzed users. The application has been developed for 45, out of…

Neurons and Cognition · Quantitative Biology 2015-03-11 Moonjeong Chang , Tomasz M. Rutkowski

The simulation of deterministic pushdown automata defined over a one-letter alphabet by finite state automata is investigated from a descriptional complexity point of view. We show that each unary deterministic pushdown automaton of size s…

Formal Languages and Automata Theory · Computer Science 2009-05-11 Giovanni Pighizzini

Minimization of deterministic automata on finite words results in a {\em canonical\/} automaton. For deterministic automata on infinite words, no canonical minimal automaton exists, and a language may have different minimal deterministic…

Formal Languages and Automata Theory · Computer Science 2020-09-24 Bader Abu Radi , Orna Kupferman

Sign language is a visual language used by the deaf and dumb community to communicate. However, for most recognition methods based on monocular cameras, the recognition accuracy is low and the robustness is poor. Even if the effect is good…

Computer Vision and Pattern Recognition · Computer Science 2024-07-03 Zhiyu Long , Xingyou Liu , Jiaqi Qiao , Zhi Li

We exhibit the construction of a deterministic automaton that, given k > 0, recognizes the (regular) language of k-differentiable words. Our approach follows a scheme of Crochemore et al. based on minimal forbidden words. We extend this…

Discrete Mathematics · Computer Science 2015-03-18 Jean-Marc Fédou , Gabriele Fici

We present a new decision procedure for the logic WS1S. It originates from the classical approach, which first builds an automaton accepting all models of a formula and then tests whether its language is empty. The main novelty is to test…

Logic in Computer Science · Computer Science 2017-01-25 Tomáš Fiedor , Lukáš Holík , Petr Janků , Ondřej Lengál , Tomáš Vojnar

We look at classes of languages associated to the fragment of first-order logic B{\Sigma}1 which disallows quantifier alternations. Each class is defined by choosing the set of predicates on positions that may be used. Two key such…

Formal Languages and Automata Theory · Computer Science 2022-10-04 Thomas Place , Marc Zeitoun

Word Sense Induction (WSI) is the task of discovering senses of an ambiguous word by grouping usages of this word into clusters corresponding to these senses. Many approaches were proposed to solve WSI in English and a few other languages,…

Computation and Language · Computer Science 2024-05-21 Denis Kokosinskii , Nikolay Arefyev

Let kappa be an uncountable regular cardinal. Call an equivalence relation on functions from kappa into 2 Sigma_1^1-definable over H(kappa) if there is a first order sentence F and a parameter R subseteq H(kappa) such that functions…

Logic · Mathematics 2007-05-23 Saharon Shelah , Pauli Väisänen

A recent result of Haase et al. has shown that reachability in two-clock timed automata is log-space equivalent to reachability in bounded one-counter automata. We show that reachability in bounded one-counter automata is PSPACE-complete.

Formal Languages and Automata Theory · Computer Science 2020-01-15 John Fearnley , Marcin Jurdziński

We introduce layered automata, a subclass of alternating parity automata that generalises deterministic automata. Assuming a consistency property, these automata are history deterministic and 0-1 probabilistic. We show that every…

Formal Languages and Automata Theory · Computer Science 2026-01-23 Antonio Casares , Christof Löding , Igor Walukiewicz

Finite automata with weights in the max-plus semiring are considered. The main result is: it is decidable in an effective way whether a series that is recognized by a finitely ambiguous max-plus automaton is unambiguous, or is sequential. A…

Computational Complexity · Computer Science 2007-09-27 Ines Klimann , Sylvain Lombardy , Jean Mairesse , Christophe Prieur
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