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Tree-controlled grammars are context-free grammars where the derivation process is controlled in such a way that every word on a level of the derivation tree must belong to a certain control language. We investigate the generative capacity…

Computational Complexity · Computer Science 2023-09-07 Bianca Truthe

We continue the research on the generative capacity of contextual grammars where contexts are adjoined around whole words (externally) or around subwords (internally) which belong to special regular selection languages. All languages…

Formal Languages and Automata Theory · Computer Science 2022-09-01 Jürgen Dassow , Bianca Truthe

We investigate three formalisms to specify graph languages, i.e. sets of graphs, based on type graphs. First, we are interested in (pure) type graphs, where the corresponding language consists of all graphs that can be mapped…

Formal Languages and Automata Theory · Computer Science 2017-04-24 Andrea Corradini , Barbara König , Dennis Nolte

This paper presents a restricted form of linear indexed grammars, called even linear indexed grammars, which yield the even linear indexed languages. These languages properly contain the context-free languages and are contained in the set…

Formal Languages and Automata Theory · Computer Science 2014-08-26 Benjamin Caulfield

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…

Formal Languages and Automata Theory · Computer Science 2017-08-17 Abhinav Aggarwal

We examine the class of languages that can be defined entirely in terms of provability in an extension of the sorted type theory (Ty_n) by embedding the logic of phonologies, without introduction of special types for syntactic entities.…

Computation and Language · Computer Science 2011-02-28 Victor Gluzberg

For any context-free grammar, we build a transition diagram, that is, a finite directed graph with labeled arcs, which describes the work of the grammar. This approach is new, and it is different from previously known graph models. We…

Formal Languages and Automata Theory · Computer Science 2013-05-30 Krasimir Yordzhev

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

First we define a unification grammar formalism called the Tree Homomorphic Feature Structure Grammar. It is based on Lexical Functional Grammar (LFG), but has a strong restriction on the syntax of the equations. We then show that this…

cmp-lg · Computer Science 2008-02-03 Tore Burheim

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…

Disordered Systems and Neural Networks · Physics 2019-04-03 E. DeGiuli

We continue our study of ordered context-free grammars, a grammar formalism that places an order on the parse trees produced by the corresponding context-free grammar. In particular, we simplify our previous definition of a derivation of a…

Formal Languages and Automata Theory · Computer Science 2023-09-19 Brink van der Merwe

Signed languages are the primary means of communication for many deaf and hard of hearing individuals. Since signed languages exhibit all the fundamental linguistic properties of natural language, we believe that tools and theories of…

Computation and Language · Computer Science 2021-07-26 Kayo Yin , Amit Moryossef , Julie Hochgesang , Yoav Goldberg , Malihe Alikhani

This paper solves an open problem concerning the generative power of nonerasing context-free rewriting systems using a simple mechanism for checking for context dependencies, in the literature known as semi-conditional grammars of degree…

Formal Languages and Automata Theory · Computer Science 2010-04-22 Tomas Masopust

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…

Computation and Language · Computer Science 2023-03-10 Loe Feijs

Formal languages let us define the textual representation of data with precision. Formal grammars, typically in the form of BNF-like productions, describe the language syntax, which is then annotated for syntax-directed translation and…

Software Engineering · Computer Science 2015-03-19 Luis Quesada , Fernando Berzal , Juan-Carlos Cubero

Multiple (simple) context-free tree grammars are investigated, where "simple" means "linear and nondeleting". Every multiple context-free tree grammar that is finitely ambiguous can be lexicalized; i.e., it can be transformed into an…

Formal Languages and Automata Theory · Computer Science 2017-07-13 Joost Engelfriet , Andreas Maletti , Sebastian Maneth

The derivation trees of a tree adjoining grammar provide a first insight into the sentence semantics, and are thus prime targets for generation systems. We define a formalism, feature-based regular tree grammars, and a translation from…

Computation and Language · Computer Science 2015-03-13 Sylvain Schmitz , Joseph Le Roux

This paper introduces derivation trees for general grammars. Within these trees, it defines context-dependent pairs of nodes, corresponding to rewriting two neighboring symbols using a non context-free rule. It proves that the language…

Formal Languages and Automata Theory · Computer Science 2024-09-12 Martin Havel , Zbyněk Křivka , Alexander Meduna

Context-free languages are widely used to describe the syntax of programming languages and natural languages. Usually, we describe a context-free language mathematically with the help of context-free grammar (for generation) or pushdown…

Formal Languages and Automata Theory · Computer Science 2020-10-13 Krasimir Yordzhev

An F-system is a computational model that performs a folding operation on words of a given language, following directions coded on words of another given language. This paper considers the case in which both given languages are regular, and…

Formal Languages and Automata Theory · Computer Science 2022-05-23 Jorge C. Lucero , Sławek Staworko
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