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Context-free grammars (CFGs) are the de-facto formalism for declaratively describing concrete syntax for programming languages and generating parsers. One of the major challenges in defining a desired syntax is ruling out all possible…

Programming Languages · Computer Science 2026-02-23 Yunjeong Lee , Gokul Rajiv , Ilya Sergey

We present a graph-based Tree Adjoining Grammar (TAG) parser that uses BiLSTMs, highway connections, and character-level CNNs. Our best end-to-end parser, which jointly performs supertagging, POS tagging, and parsing, outperforms the…

Computation and Language · Computer Science 2018-05-01 Jungo Kasai , Robert Frank , Pauli Xu , William Merrill , Owen Rambow

Tree-adjoining grammars are a generalization of context-free grammars that are well suited to model human languages and are thus popular in computational linguistics. In the tree-adjoining grammar recognition problem, given a grammar…

Computational Complexity · Computer Science 2018-03-05 Karl Bringmann , Philip Wellnitz

In order for neural networks to learn complex languages or grammars, they must have sufficient computational power or resources to recognize or generate such languages. Though many approaches have been discussed, one ob- vious approach to…

Artificial Intelligence · Computer Science 2017-11-17 G. Z. Sun , C. L. Giles , H. H. Chen , Y. C. Lee

Using feature-based Tree Adjoining Grammar (TAG), this paper presents linguistically motivated analyses of constructions claimed to require multi-component adjunction. These feature-based TAG analyses permit parsing of these constructions…

cmp-lg · Computer Science 2008-02-03 B. A. Hockey , B. Srinivas

Tree adjoining grammar (TAG) is specifically suited for morph rich and agglutinated languages like Tamil due to its psycho linguistic features and parse time dependency and morph resolution. Though TAG and LTAG formalisms have been known…

Computation and Language · Computer Science 2016-04-06 Vijay Krishna Menon , S. Rajendran , M. Anand Kumar , K. P. Soman

We compare pushdown automata (PDAs for short) against other representations. First, we show that there is a family of PDAs over a unary alphabet with $n$ states and $p \geq 2n + 4$ stack symbols that accepts one single long word for which…

Formal Languages and Automata Theory · Computer Science 2017-06-27 Pierre Ganty , Elena Gutiérrez

The development of lexicalized grammars, particularly Tree-Adjoining Grammar (TAG), has significantly advanced our understanding of syntax and semantics in natural language processing (NLP). While existing syntactic resources like the Penn…

Computation and Language · Computer Science 2025-04-15 Jungyeul Park

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

In this paper we are dealing with the issue of finding possibly short synchronizing words in automata with weight assigned to each letter in the alphabet $\Sigma$. First we discuss some complexity problems, and then we present new…

Formal Languages and Automata Theory · Computer Science 2021-03-31 Jakub Ruszil

Indexed languages are a classical notion in formal language theory, which has attracted attention in recent decades due to its role in higher-order model checking: They are precisely the languages accepted by order-2 pushdown automata. The…

Formal Languages and Automata Theory · Computer Science 2026-05-28 Richard Mandel , Corto Mascle , Georg Zetzsche

We introduce efficient algorithms for finding the $k$ shortest paths of a weighted pushdown automaton (WPDA), a compact representation of a weighted set of strings with potential applications in parsing and machine translation. Both of our…

Computation and Language · Computer Science 2013-02-06 Ke Wu , Philip Resnik

This paper presents the XTAG system, a grammar development tool based on the Tree Adjoining Grammar (TAG) formalism that includes a wide-coverage syntactic grammar for English. The various components of the system are discussed and…

cmp-lg · Computer Science 2008-02-03 Christy Doran , Dania Egedi , Beth Ann Hockey , B. Srinivas , Martin Zaidel

Finite-turn pushdown automata (PDA) are investigated concerning their descriptional complexity. It is known that they accept exactly the class of ultralinear context-free languages. Furthermore, the increase in size when converting…

Formal Languages and Automata Theory · Computer Science 2009-05-08 Andreas Malcher , Giovanni Pighizzini

Dual-tree algorithms are a widely used class of branch-and-bound algorithms. Unfortunately, developing dual-tree algorithms for use with different trees and problems is often complex and burdensome. We introduce a four-part logical split:…

Data Structures and Algorithms · Computer Science 2013-04-17 Ryan R. Curtin , William B. March , Parikshit Ram , David V. Anderson , Alexander G. Gray , Charles L. Isbell

We present a computational model for Parsing Expression Grammars (PEGs). The predecessor of PEGs top-down parsing languages (TDPLs) were discovered by A. Birman and J. Ullman in the 1960-s, B. Ford showed in 2004 that both formalisms…

Formal Languages and Automata Theory · Computer Science 2024-09-06 Alexander Rubtsov , Nikita Chudinov

Recently, the emergence of large language models (LLMs) has motivated integrating language descriptions into graphs, forming text-attributed graphs (TAGs) that enhance model encoding capabilities from a data-centric perspective. A review of…

Machine Learning · Computer Science 2026-02-03 Zhihan Zhang , Xunkai Li , Lei Zhu , Guang Zeng , Bowen Fan , Yanzhe Wen , Hongchao Qin , Rong-Hua Li , Guoren Wang

The compact directed acyclic word graph (CDAWG) [Blumer et al. 1987] of a string is the minimal compact automaton that recognizes all the suffixes of the string. CDAWGs can be used for various string tasks including text pattern searching,…

Data Structures and Algorithms · Computer Science 2026-05-29 Hiroto Fujimaru , Shunsuke Inenaga

We introduce weighted regular tree grammars with storage as combination of (a) regular tree grammars with storage and (b) weighted tree automata over multioperator monoids. Each weighted regular tree grammar with storage generates a…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Zoltán Fülöp , Luisa Herrmann , Heiko Vogler

We introduce a probabilistic formalism subsuming Markov random fields of bounded tree width and probabilistic context free grammars. Our models are based on a representation of Boolean formulas that we call case-factor diagrams (CFDs). CFDs…

Artificial Intelligence · Computer Science 2012-07-19 David A. McAllester , Michael Collins , Fernando Pereira