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In this article we undertake a study of extension complexity from the perspective of formal languages. We define a natural way to associate a family of polytopes with binary languages. This allows us to define the notion of extension…

Computational Complexity · Computer Science 2019-08-29 Hans Raj Tiwary

Descriptional complexity is the study of the conciseness of the various models representing formal languages. The state complexity of a regular language is the size, measured by the number of states of the smallest, either deterministic or…

Formal Languages and Automata Theory · Computer Science 2015-09-11 Yuan Gao , Nelma Moreira , Rogério Reis , Sheng Yu

Given a language, which in this article is a set of strings of some fixed length, we study the problem of producing its elements by a procedure in which each position has its own local rule. We introduce a way of measuring how much…

Discrete Mathematics · Computer Science 2025-11-27 Mathieu Hoyrup

The review summarizes the main methodological concepts used in studying natural language from the perspective of complexity science and documents their applicability in identifying both universal and system-specific features of language in…

Physics and Society · Physics 2024-01-09 Tomasz Stanisz , Stanisław Drożdż , Jarosław Kwapień

Classical Chinese poetry is a vital and enduring part of Chinese literature, conveying profound emotional resonance. Existing studies analyze sentiment based on textual meanings, overlooking the unique rhythmic and visual features inherent…

Computation and Language · Computer Science 2025-05-20 Xiaocong Du , Haoyu Pei , Haipeng Zhang

To understand what kinds of linguistic knowledge are encoded by pretrained Chinese language models (LMs), we introduce the benchmark of Sino LINGuistics (SLING), which consists of 38K minimal sentence pairs in Mandarin Chinese grouped into…

Computation and Language · Computer Science 2022-10-24 Yixiao Song , Kalpesh Krishna , Rajesh Bhatt , Mohit Iyyer

What have language models (LMs) learned about grammar? This question remains hotly debated, with major ramifications for linguistic theory. However, since probability and grammaticality are distinct notions in linguistics, it is not obvious…

Computation and Language · Computer Science 2025-11-10 Jennifer Hu , Ethan Gotlieb Wilcox , Siyuan Song , Kyle Mahowald , Roger P. Levy

We present a new characteristic of a regular ideal language called reset complexity. We find some bounds on the reset complexity in terms of the state complexity of a given language. We also compare the reset complexity and the state…

Formal Languages and Automata Theory · Computer Science 2014-04-11 Marina Maslennikova

We study the entropy of Chinese and English texts, based on characters in case of Chinese texts and based on words for both languages. Significant differences are found between the languages and between different personal styles of debating…

Computation and Language · Computer Science 2017-01-17 R. R. Xie , W. B. Deng , D. J. Wang , L. P. Csernai

Phylogenetic trees can be reconstructed from the matrix which contains the distances between all pairs of languages in a family. Recently, we proposed a new method which uses normalized Levenshtein distances among words with same meaning…

Computation and Language · Computer Science 2015-05-14 Filippo Petroni , Maurizio Serva

We probe the layers in multilingual BERT (mBERT) for phylogenetic and geographic language signals across 100 languages and compute language distances based on the mBERT representations. We 1) employ the language distances to infer and…

Computation and Language · Computer Science 2020-11-05 Taraka Rama , Lisa Beinborn , Steffen Eger

The state complexity, respectively, nondeterministic state complexity of a regular language $L$ is the number of states of the minimal deterministic, respectively, of a minimal nondeterministic finite automaton for $L$. Some of the most…

Formal Languages and Automata Theory · Computer Science 2026-04-08 Arto Salomaa , Kai Salomaa , Taylor J. Smith

Language modeling, a central task in natural language processing, involves estimating a probability distribution over strings. In most cases, the estimated distribution sums to 1 over all finite strings. However, in some pathological cases,…

Computation and Language · Computer Science 2023-08-23 Li Du , Lucas Torroba Hennigen , Tiago Pimentel , Clara Meister , Jason Eisner , Ryan Cotterell

We revisit the phenomenon of syntactic complexity convergence in conversational interaction, originally found for English dialogue, which has theoretical implication for dialogical concepts such as mutual understanding. We use a modified…

Computation and Language · Computer Science 2024-08-23 Yu Wang , Hendrik Buschmeier

We discuss the feasibility of the following learning problem: given unmatched samples from two domains and nothing else, learn a mapping between the two, which preserves semantics. Due to the lack of paired samples and without any…

Machine Learning · Computer Science 2020-01-16 Tomer Galanti , Lior Wolf , Sagie Benaim

We introduce distance entropy as a measure of homogeneity in the distribution of path lengths between a given node and its neighbours in a complex network. Distance entropy defines a new centrality measure whose properties are investigated…

Physics and Society · Physics 2018-05-09 Massimo Stella , Manlio De Domenico

In the constrained synchronization problem we ask if a given automaton admits a synchronizing word coming from a fixed regular constraint language. We show that intersecting a given constraint language with an ideal language decreases the…

Formal Languages and Automata Theory · Computer Science 2021-03-19 Stefan Hoffmann

Computational approaches in historical linguistics have been increasingly applied during the past decade and many new methods that implement parts of the traditional comparative method have been proposed. Despite these increased efforts,…

Computation and Language · Computer Science 2022-04-12 Johann-Mattis List , Robert Forkel , Nathan W. Hill

Linguistics holds unique characteristics of generality, stability, and nationality, which will affect the formulation of extraction strategies and should be incorporated into the relation extraction. Chinese open relation extraction is not…

Computation and Language · Computer Science 2020-10-30 Shengbin Jia

This paper describes a conditional neural network architecture for Mandarin Chinese polyphone disambiguation. The system is composed of a bidirectional recurrent neural network component acting as a sentence encoder to accumulate the…

Computation and Language · Computer Science 2019-07-04 Zexin Cai , Yaogen Yang , Chuxiong Zhang , Xiaoyi Qin , Ming Li