Anti-Context-Free languages

Fuente: arXiv
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Autore principale: Cardó, Carles
Natura: Preprint
Pubblicazione: 2024
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author Cardó, Carles
author_facet Cardó, Carles
contents Context-free languages can be characterized in several ways. This article studies projective linearisations of languages of simple dependency trees, i.e., dependency trees in which a node can govern at most one node with a given syntactic function. We prove that the projective linearisations of local languages of simple dependency trees coincide with the context-free languages. Simple dependency trees suggest alternative dual notions of locality and projectivity, which permits defining a dual language for each context-free language. We call this new class of languages anti-context-free. These languages are related to some linguistic constructions exhibiting the so-called cross-serial dependencies that were historically important for the development of computational linguistics. We propose that this duality could be a relevant linguistic phenomenon.
format Preprint
id arxiv_https___arxiv_org_abs_2401_07815
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Anti-Context-Free languages
Cardó, Carles
Formal Languages and Automata Theory
68Q42, 68Q43
F.4.2; F.4.3
Context-free languages can be characterized in several ways. This article studies projective linearisations of languages of simple dependency trees, i.e., dependency trees in which a node can govern at most one node with a given syntactic function. We prove that the projective linearisations of local languages of simple dependency trees coincide with the context-free languages. Simple dependency trees suggest alternative dual notions of locality and projectivity, which permits defining a dual language for each context-free language. We call this new class of languages anti-context-free. These languages are related to some linguistic constructions exhibiting the so-called cross-serial dependencies that were historically important for the development of computational linguistics. We propose that this duality could be a relevant linguistic phenomenon.
title Anti-Context-Free languages
topic Formal Languages and Automata Theory
68Q42, 68Q43
F.4.2; F.4.3
url https://arxiv.org/abs/2401.07815