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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…

Formal Languages and Automata Theory · Computer Science 2024-01-17 Carles Cardó

We here explore a ``fully'' lexicalized Tree-Adjoining Grammar for discourse that takes the basic elements of a (monologic) discourse to be not simply clauses, but larger structures that are anchored on variously realized discourse cues.…

cmp-lg · Computer Science 2007-05-23 Bonnie Lynn Webber , Aravind K. Joshi

In this paper we present a fully lexicalized grammar formalism as a particularly attractive framework for the specification of natural language grammars. We discuss in detail Feature-based, Lexicalized Tree Adjoining Grammars (FB-LTAGs), a…

cmp-lg · Computer Science 2008-02-03 B. Srinivas , Dania Egedi , Christy Doran , Tilman Becker

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

This paper presents a new approach to regulation of grammars. It divides the derivation trees generated by grammars into two sections-generative and conclusive (the conclusion). The former encompasses generation of symbols up till the…

Formal Languages and Automata Theory · Computer Science 2022-09-01 Dominika Klobučníková , Zbyněk Křivka , Alexander Meduna

We introduce context-free languages of morphisms in monoidal categories, extending recent work on the categorification of context-free languages, and regular languages of string diagrams. Context-free languages of string diagrams include…

Formal Languages and Automata Theory · Computer Science 2024-04-17 Matt Earnshaw , Mario Román

Multilinear Grammar provides a framework for integrating the many different syntagmatic structures of language into a coherent semiotically based Rank Interpretation Architecture, with default linear grammars at each rank. The architecture…

Computation and Language · Computer Science 2017-09-18 Dafydd Gibbon , Sascha Griffiths

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

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

We study varieties that contain unranked tree languages over all alphabets. Trees are labeled with symbols from two alphabets, an unranked operator alphabet and an alphabet used for leaves only. Syntactic algebras of unranked tree languages…

Formal Languages and Automata Theory · Computer Science 2015-10-27 Magnus Steinby , Eija Jurvanen , Antonio Cano

The grammar representation of a narrowing tree for a syntactically deterministic conditional term rewriting system and a pair of terms is a regular tree grammar that generates expressions for substitutions obtained by all possible…

Logic in Computer Science · Computer Science 2019-02-25 Naoki Nishida , Yuya Maeda

We propose a scalable framework for deciding, proving, and explaining (in-)equivalence of context-free grammars. We present an implementation of the framework and evaluate it on large data sets collected within educational support systems.…

Formal Languages and Automata Theory · Computer Science 2026-04-09 Marko Schmellenkamp , Thomas Zeume , Sven Argo , Sandra Kiefer , Cedric Siems , Fynn Stebel

Context-free grammar simplification is a subject of high importance in computer language processing technology as well as in formal language theory. This paper presents a formalization, using the Coq proof assistant, of the fact that…

Formal Languages and Automata Theory · Computer Science 2015-10-19 Marcus V. M. Ramos , Ruy J. G. B. de Queiroz

Recently researchers working in the LFG framework have proposed algorithms for taking advantage of the implicit context-free components of a unification grammar [Maxwell 96]. This paper clarifies the mathematical foundations of these…

cmp-lg · Computer Science 2008-02-03 Marc Dymetman

The central role of the lexicon in Meaning-Text Theory (MTT) and other dependency-based linguistic theories cannot be replicated in linguistic theories based on context-free grammars (CFGs). We describe Tree Adjoining Grammar (TAG) as a…

cmp-lg · Computer Science 2008-02-03 Owen Rambow , Aravind Joshi

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

Sequential LSTM has been extended to model tree structures, giving competitive results for a number of tasks. Existing methods model constituent trees by bottom-up combinations of constituent nodes, making direct use of input word…

Computation and Language · Computer Science 2016-11-22 Zhiyang Teng , Yue Zhang

I present a simple algorithm for enumerating the trees generated by a Context Free Grammar (CFG). The algorithm uses a pairing function to form a bijection between CFG derivations and natural numbers, so that trees can be uniquely decoded…

Computation and Language · Computer Science 2023-05-02 Steven T. Piantadosi

We consider the problem of lossless compression of binary trees, with the aim of reducing the number of code bits needed to store or transmit such trees. A lossless grammar-based code is presented which encodes each binary tree into a…

Information Theory · Computer Science 2013-04-30 Jie Zhang , En-hui Yang , John C. Kieffer

Logical fallacy uses invalid or faulty reasoning in the construction of a statement. Despite the prevalence and harmfulness of logical fallacies, detecting and classifying logical fallacies still remains a challenging task. We observe that…

Computation and Language · Computer Science 2024-10-17 Yuanyuan Lei , Ruihong Huang
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