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This book objective is to develop an algebraization of graph grammars. Equivalently, we study graph dynamics. From the point of view of a computer scientist, graph grammars are a natural generalization of Chomsky grammars for which a purely…

离散数学 · 计算机科学 2009-11-17 Pedro Pablo Perez Velasco

What does it mean to know language? Since the Chomskian revolution, one popular answer to this question has been: to possess a generative grammar that exclusively licenses certain syntactic structures. Decades later, not even an…

计算与语言 · 计算机科学 2023-03-15 Shimon Edelman

Indexed languages are interesting in computational linguistics because they are the least class of languages in the Chomsky hierarchy that has not been shown not to be adequate to describe the string set of natural language sentences. We…

cmp-lg · 计算机科学 2008-02-03 Tore Burheim

Formal grammars are extensively used in Computer Science and related fields to study the rules which govern production of a language. The use of these grammars can be extended beyond mere language production. One possibility is to view…

形式语言与自动机理论 · 计算机科学 2017-08-17 Abhinav Aggarwal

Classic grammars and regular expressions can be used for a variety of purposes, including parsing, intent detection, and matching. However, the comparisons are performed at a structural level, with constituent elements (words or characters)…

计算与语言 · 计算机科学 2018-08-16 David Wingate , William Myers , Nancy Fulda , Tyler Etchart

A classical result by Floyd ("On the non-existence of a phrase structure grammar for ALGOL 60", 1962) states that the complete syntax of any sensible programming language cannot be described by the ordinary kind of formal grammars…

形式语言与自动机理论 · 计算机科学 2020-12-08 Alexander Okhotin

In this work, we introduce a new notion for representing graph classes with formal languages. In contrast to the seminal work by Kitaev and Pyatkin to represent graphs by words, we use formal binary languages in order to have a set of…

形式语言与自动机理论 · 计算机科学 2026-04-22 Henning Fernau , Pamela Fleischmann , Kevin Mann , Silas Cato Sacher

The literature on word-representable graphs is quite rich, and a number of variations of the original definition have been proposed over the years. We are initiating a systematic study of such variations based on formal languages. In our…

离散数学 · 计算机科学 2024-11-06 Zhidan Feng , Henning Fernau , Pamela Fleischmann , Kevin Mann , Silas Cato Sacher

Computers understand very little of the meaning of human language. This profoundly limits our ability to give instructions to computers, the ability of computers to explain their actions to us, and the ability of computers to analyse and…

计算与语言 · 计算机科学 2010-03-08 Peter D. Turney , Patrick Pantel

Grammar refers to the system of rules that governs the structural organization and the semantic relations among linguistic units such as sentences, phrases, and words within a given language. In natural language processing, there remains a…

Many complex generative systems use languages to create structured objects. We consider a model of random languages, defined by weighted context-free grammars. As the distribution of grammar weights broadens, a transition is found from a…

无序系统与神经网络 · 物理学 2019-04-03 E. DeGiuli

This paper presents a model for linguistic description based on group theory. A grammar in this model, or "G-grammar", is a collection of lexical expressions which are products of logical forms, phonological forms, and their inverses.…

cmp-lg · 计算机科学 2007-05-23 Marc Dymetman

In this paper we will attempt to classify Lindenmayer systems based on properties of sets of rules and the kind of strings those rules generate. This classification will be referred to as a parametrization of the L-space: the L-space is the…

形式语言与自动机理论 · 计算机科学 2021-08-23 Diego Krivochen , Douglas Saddy

Parametric approaches to grammatical diversity range from Chomsky's 1981 classical Principles & Parameters model to minimalist reinterpretations: in some proposals of the latter framework, parameters need not be an extensional list given at…

神经元与认知 · 定量生物学 2023-07-07 Giuseppe Longobardi , Alessandro Treves

Regular word grammars are restricted context-free grammars that define all the recognizable languages of words. This paper generalizes regular grammars from words to certain classes of graphs, by defining regular grammars for unordered…

形式语言与自动机理论 · 计算机科学 2025-06-17 Marius Bozga , Radu Iosif , Florian Zuleger

Grammatic is a tool for grammar definition and manipulation aimed to improve modularity and reuse of grammars and related development artifacts. It is independent from parsing technology and any other details of target system…

编程语言 · 计算机科学 2009-01-19 Andrey Breslav

We introduce a normal form for context-free grammars, called Dyck normal form. This is a syntactical restriction of the Chomsky normal form, in which the two nonterminals occurring on the right-hand side of a rule are paired nonterminals.…

形式语言与自动机理论 · 计算机科学 2024-01-26 Liliana Cojocaru

This report is a survey of the relationships between various state-of-the-art neural network architectures and formal languages as, for example, structured by the Chomsky Language Hierarchy. Of particular interest are the abilities of a…

计算与语言 · 计算机科学 2020-06-03 Joshua Ackerman , George Cybenko

We propose a mathematical framework for a unification of the distributional theory of meaning in terms of vector space models, and a compositional theory for grammatical types, for which we rely on the algebra of Pregroups, introduced by…

计算与语言 · 计算机科学 2010-03-24 Bob Coecke , Mehrnoosh Sadrzadeh , Stephen Clark

In this article, we present a fresh perspective on language, combining ideas from various sources, but mixed in a new synthesis. As in the minimalist program, the question is whether we can formulate an elegant formalism, a universal…

计算与语言 · 计算机科学 2023-03-10 Loe Feijs
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