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(1) There is a finitely presented group with a word problem which is a uniformly effectively inseparable equivalence relation. (2) There is a finitely generated group of computable permutations with a word problem which is a universal…

Logic · Mathematics 2016-09-13 André Nies , Andrea Sorbi

Compounding is a highly productive word-formation process in some languages that is often problematic for natural language processing applications. In this paper, we investigate whether distributional semantics in the form of word…

Computation and Language · Computer Science 2015-09-16 Joachim Daiber , Lautaro Quiroz , Roger Wechsler , Stella Frank

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

We consider the set of finite random words $\mathcal A^\star$, with independent letters drawn from a finite or infinite totally ordered alphabet according to a general probability distribution. On a specific subset of $\mathcal A^\star$,…

Probability · Mathematics 2012-04-22 Elahe Zohoorian Azad

Beyond the local constraints imposed by grammar, words concatenated in long sequences carrying a complex message show statistical regularities that may reflect their linguistic role in the message. In this paper, we perform a systematic…

Statistical Mechanics · Physics 2007-05-23 Marcelo A. Montemurro , Damian H. Zanette

Word segmentation is a low-level NLP task that is non-trivial for a considerable number of languages. In this paper, we present a sequence tagging framework and apply it to word segmentation for a wide range of languages with different…

Computation and Language · Computer Science 2018-07-10 Yan Shao , Christian Hardmeier , Joakim Nivre

Word embedding models offer continuous vector representations that can capture rich contextual semantics based on their word co-occurrence patterns. While these word vectors can provide very effective features used in many NLP tasks such as…

Computation and Language · Computer Science 2017-02-27 Cem Safak Sahin , Rajmonda S. Caceres , Brandon Oselio , William M. Campbell

In this paper we analyse the fractal structure of long human-language records by mapping large samples of texts onto time series. The particular mapping set up in this work is inspired on linguistic basis in the sense that is retains {\em…

Statistical Mechanics · Physics 2007-05-23 Marcelo A. Montemurro , Pedro A. Pury

Continuous word representations learned separately on distinct languages can be aligned so that their words become comparable in a common space. Existing works typically solve a least-square regression problem to learn a rotation aligning a…

Computation and Language · Computer Science 2018-09-06 Armand Joulin , Piotr Bojanowski , Tomas Mikolov , Herve Jegou , Edouard Grave

This work lists and describes the main recent strategies for building fixed-length, dense and distributed representations for words, based on the distributional hypothesis. These representations are now commonly called word embeddings and,…

Computation and Language · Computer Science 2023-05-03 Felipe Almeida , Geraldo Xexéo

Word embedding is a powerful tool in natural language processing. In this paper we consider the problem of word embedding composition \--- given vector representations of two words, compute a vector for the entire phrase. We give a…

Machine Learning · Computer Science 2019-02-05 Abraham Frandsen , Rong Ge

A correlation is a binary vector that encodes all possible positions of overlaps of two words, where an overlap for an ordered pair of words (u,v) occurs if a suffix of word u matches a prefix of word v. As multiple pairs can have the same…

Discrete Mathematics · Computer Science 2025-06-03 Eric Rivals , Pengfei Wang

For a given language $L$, we study the languages $X$ such that for all distinct words $u, v \in L$, there exists a word $x \in X$ that appears a different number of times as a factor in $u$ and in $v$. In particular, we are interested in…

Combinatorics · Mathematics 2019-05-20 Aleksi Saarela

Given an infinite linear group with a finite set of generators, we show that the shortest word length of an element of infinite order has an upper bound that depends only on the number of generators and the degree. This provides a…

Group Theory · Mathematics 2023-09-11 Junho Peter Whang

Indexed languages are a classical notion in formal language theory. As the language equivalent of second-order pushdown automata, they have received considerable attention in higher-order model checking. Unfortunately, counting properties…

Formal Languages and Automata Theory · Computer Science 2024-05-14 Laura Ciobanu , Georg Zetzsche

The present paper presents and proves a proposition concerning the time complexity of finite languages. It is shown herein, that for any finite language (a language for which the set of words composing it is finite) there is a Turing…

Computational Complexity · Computer Science 2007-05-23 Mircea Alexandru Popescu Moscu

We consider a language together with the subword relation, the cover relation, and regular predicates. For such structures, we consider the extension of first-order logic by threshold- and modulo-counting quantifiers. Depending on the…

Formal Languages and Automata Theory · Computer Science 2019-01-09 Dietrich Kuske , Georg Zetzsche

Dictionaries are inherently circular in nature. A given word is linked to a set of alternative words (the definition) which in turn point to further descendants. Iterating through definitions in this way, one typically finds that…

Computation and Language · Computer Science 2011-03-14 David Levary , Jean-Pierre Eckmann , Elisha Moses , Tsvi Tlusty

Formal languages are sets of strings of symbols described by a set of rules specific to them. In this note, we discuss a certain class of formal languages, called regular languages, and put forward some elementary results. The properties of…

Formal Languages and Automata Theory · Computer Science 2020-05-22 Aalok Thakkar

This paper describes a method for compiling a constraint-based grammar into a potentially more efficient form for processing. This method takes dependent disjunctions within a constraint formula and factors them into non-interacting groups…

cmp-lg · Computer Science 2008-02-03 John Griffith