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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

The normalized edit distance is one of the distances derived from the edit distance. It is useful in some applications because it takes into account the lengths of the two strings compared. The normalized edit distance is not defined in…

Neural and Evolutionary Computing · Computer Science 2013-12-09 Muhammad Marwan Muhammad Fuad

Separation is a classical problem asking whether, given two sets belonging to some class, it is possible to separate them by a set from a smaller class. We discuss the separation problem for regular languages. We give a Ptime algorithm to…

Formal Languages and Automata Theory · Computer Science 2013-04-26 Thomas Place , Lorijn van Rooijen , Marc Zeitoun

The word mover's distance (WMD) is a popular semantic similarity metric for two texts. This position paper studies several possible extensions of WMD. We experiment with the frequency of words in the corpus as a weighting factor and the…

Computation and Language · Computer Science 2022-02-09 Ilya Smirnov , Ivan P. Yamshchikov

Learning word embeddings using distributional information is a task that has been studied by many researchers, and a lot of studies are reported in the literature. On the contrary, less studies were done for the case of multiple languages.…

Computation and Language · Computer Science 2020-04-15 Marco Berlot , Evan Kaplan

Recently there has been a significant effort to handle quantitative properties in formal verification and synthesis. While weighted automata over finite and infinite words provide a natural and flexible framework to express quantitative…

Formal Languages and Automata Theory · Computer Science 2015-04-24 Krishnendu Chatterjee , Thomas A. Henzinger , Jan Otop

Edit distance is a measure of similarity of two strings based on the minimum number of character insertions, deletions, and substitutions required to transform one string into the other. The edit distance can be computed exactly using a…

Data Structures and Algorithms · Computer Science 2021-02-17 Diptarka Chakraborty , Debarati Das , Elazar Goldenberg , Michal Koucky , Michael Saks

We study the task, for a given language $L$, of enumerating the (generally infinite) sequence of its words, without repetitions, while bounding the delay between two consecutive words. To allow for delay bounds that do not depend on the…

Formal Languages and Automata Theory · Computer Science 2023-01-10 Antoine Amarilli , Mikaël Monet

An edit distance is a metric between words that quantifies how two words differ by counting the number of edit operations needed to transform one word into the other one. A word f is said isometric with respect to an edit distance if, for…

Formal Languages and Automata Theory · Computer Science 2023-03-07 Marcella Anselmo , Giuseppa Castiglione , Manuela Flores , Dora Giammarresi , Maria Madonia , Sabrina Mantaci

Model checking timed automata becomes increasingly complex with the increase in the number of clocks. Hence it is desirable that one constructs an automaton with the minimum number of clocks possible. The problem of checking whether there…

Formal Languages and Automata Theory · Computer Science 2015-05-21 Shibashis Guha , Chinmay Narayan , S. Arun-Kumar

This paper examines several measures of space complexity of variants of stack automata: non-erasing stack automata and checking stack automata. These measures capture the minimum stack size required to accept every word in the language of…

Formal Languages and Automata Theory · Computer Science 2022-12-05 Oscar H. Ibarra , Jozef Jirásek , Ian McQuillan , Luca Prigioniero

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

ELAN is a powerful language and environment for specifying and prototyping deduction systems in a language based on rewrite rules controlled by strategies. Timed automata is a class of continuous real-time models of reactive systems for…

Programming Languages · Computer Science 2007-05-23 Emmanuel Beffara , Olivier Bournez , Hassen Kacem , Claude Kirchner

ELAN is a powerful language and environment for specifying and prototyping deduction systems in a language based on rewrite rules controlled by strategies. Timed automata is a class of continuous real-time models of reactive systems for…

Logic in Computer Science · Computer Science 2009-07-20 Emmanuel Beffara , Olivier Bournez , Hassen Kacem , Claude Kirchner

Word segmentation, the problem of finding word boundaries in speech, is of interest for a range of tasks. Previous papers have suggested that for sequence-to-sequence models trained on tasks such as speech translation or speech recognition,…

Computation and Language · Computer Science 2021-09-22 Ramon Sanabria , Hao Tang , Sharon Goldwater

Probabilistic timed automata are classical timed automata extended with discrete probability distributions over edges. We introduce clock-dependent probabilistic timed automata, a variant of probabilistic timed automata in which transition…

Logic in Computer Science · Computer Science 2017-07-17 Jeremy Sproston

Some consider large-scale language models that can generate long and coherent pieces of text as dangerous, since they may be used in misinformation campaigns. Here we formulate large-scale language model output detection as a hypothesis…

Computation and Language · Computer Science 2020-02-11 Lav R. Varshney , Nitish Shirish Keskar , Richard Socher

This paper investigates the time-bounded version of the reachability problem for hybrid automata. This problem asks whether a given hybrid automaton can reach a given target location within T time units, where T is a constant rational…

Logic in Computer Science · Computer Science 2011-04-29 Thomas Brihaye , Laurent Doyen , Gilles Geeraerts , Joël Ouaknine , Jean-François Raskin , James Worrell

The Word Mover's Distance (WMD) proposed by Kusner et al. is a distance between documents that takes advantage of semantic relations among words that are captured by their embeddings. This distance proved to be quite effective, obtaining…

Computation and Language · Computer Science 2020-05-12 Matheus Werner , Eduardo Laber

The idea of measuring distance between languages seems to have its roots in the work of the French explorer Dumont D'Urville (D'Urville 1832). He collected comparative words lists of various languages during his voyages aboard the Astrolabe…

Computation and Language · Computer Science 2009-12-07 Filippo Petroni , Maurizio Serva