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The problem of identifying a probabilistic context free grammar has two aspects: the first is determining the grammar's topology (the rules of the grammar) and the second is estimating probabilistic weights for each rule. Given the hardness…

Logic in Computer Science · Computer Science 2023-06-22 Dana Fisman , Dolav Nitay , Michal Ziv-Ukelson

Context-free S grammars are introduced, for arbitrary (storage) type S, as a uniform framework for recursion-based grammars, automata, and transducers, viewed as programs. To each occurrence of a nonterminal of a context-free S grammar an…

Formal Languages and Automata Theory · Computer Science 2014-08-05 Joost Engelfriet

Text generation is a fundamental building block in natural language processing tasks. Existing sequential models performs autoregression directly over the text sequence and have difficulty generating long sentences of complex structures.…

Computation and Language · Computer Science 2018-08-16 Qipeng Guo , Xipeng Qiu , Xiangyang Xue , Zheng Zhang

Recently, it has been shown that every recursively enumerable language can be generated by a scattered context grammar with no more than three nonterminals. However, in that construction, the maximal number of nonterminals simultaneously…

Formal Languages and Automata Theory · Computer Science 2009-07-30 Tomáš Masopust , Alexander Meduna

Generating text from structured data is challenging because it requires bridging the gap between (i) structure and natural language (NL) and (ii) semantically underspecified input and fully specified NL output. Multilingual generation…

Computation and Language · Computer Science 2020-11-12 Angela Fan , Claire Gardent

Designers of statistical machine translation (SMT) systems have begun to employ tree-structured translation models. Systems involving tree-structured translation models tend to be complex. This article aims to reduce the conceptual…

Computation and Language · Computer Science 2007-05-23 I. Dan Melamed , Wei Wang

String diagrams provide an intuitive language for expressing networks of interacting processes graphically. A discrete representation of string diagrams, called string graphs, allows for mechanised equational reasoning by double-pushout…

Logic in Computer Science · Computer Science 2015-10-14 Aleks Kissinger , Vladimir Zamdzhiev

In this paper, we continue the research on the power of contextual grammars with selection languages from subfamilies of the family of regular languages. In the past, two independent hierarchies have been obtained for external and internal…

Computational Complexity · Computer Science 2023-09-19 Bianca Truthe

A recent study on structural properties of regular and context-free languages has greatly promoted our basic understandings of the complex behaviors of those languages. We continue the study to examine how regular languages behave when they…

Formal Languages and Automata Theory · Computer Science 2015-03-20 Tomoyuki Yamakami , Yuichi Kato

This paper presents a decidable characterization of tree languages that can be defined by a boolean combination of Sigma_1 sentences. This is a tree extension of the Simon theorem, which says that a string language can be defined by a…

Formal Languages and Automata Theory · Computer Science 2015-07-01 Mikołaj Bojańczyk , Luc Segoufin , Howard Straubing

While context-free grammars are characterized by a simple proof-theoretic grammatical formalism namely categorial grammar and its logic the Lambek calculus, no such characterizations were known for tree-adjoining grammars, and even for any…

Computation and Language · Computer Science 2021-01-12 Hiroyoshi Komatsu

We introduce an approach to train lexicalized parsers using bilingual corpora obtained by merging harmonized treebanks of different languages, producing parsers that can analyze sentences in either of the learned languages, or even…

Computation and Language · Computer Science 2016-05-20 David Vilares , Carlos Gómez-Rodríguez , Miguel A. Alonso

Multi-word expressions, verb-particle constructions, idiomatically combining phrases, and phrasal idioms have something in common: not all of their elements contribute to the argument structure of the predicate implicated by the expression.…

Computation and Language · Computer Science 2018-05-23 Cem Bozsahin , Arzu Burcu Guven

We consider finite trees with edges labeled by letters on a finite alphabet $\varSigma$. Each pair of nodes defines a unique labeled path whose trace is a word of the free monoid $\varSigma^*$. The set of all such words defines the language…

Combinatorics · Mathematics 2015-05-12 Srečko Brlek , Nadia Lafrenière , Xavier Provençal

Labeled unranked trees are used as a model of XML documents, and logical languages for them have been studied actively over the past several years. Such logics have different purposes: some are better suited for extracting data, some for…

Logic in Computer Science · Computer Science 2017-01-11 Leonid Libkin

Questions in open-domain question answering are often ambiguous, allowing multiple interpretations. One approach to handling them is to identify all possible interpretations of the ambiguous question (AQ) and to generate a long-form answer…

Computation and Language · Computer Science 2023-10-24 Gangwoo Kim , Sungdong Kim , Byeongguk Jeon , Joonsuk Park , Jaewoo Kang

Boolean grammars generalize context-free rewriting by extending the possibilities when dealing with different rules for the same nonterminal symbol. By allowing not only disjunction (as in the case of usual context-free grammars), but also…

Formal Languages and Automata Theory · Computer Science 2024-09-12 Patrik Adrián , György Vaszil

Semantic parsing methods are used for capturing and representing semantic meaning of text. Meaning representation capturing all the concepts in the text may not always be available or may not be sufficiently complete. Ontologies provide a…

Artificial Intelligence · Computer Science 2016-01-06 Janez Starc , Dunja Mladenić

Straight-line (linear) context-free tree (SLT) grammars have been used to compactly represent ordered trees. It is well known that equivalence of SLT grammars is decidable in polynomial time. Here we extend this result and show that…

Data Structures and Algorithms · Computer Science 2015-02-17 Markus Lohrey , Sebastian Maneth , Fabian Peternek

We investigate the structural relationship between prefix-free codes over the binary alphabet and a class of unlabeled rooted trees, which we call \emph{symmetric} trees. We establish a canonical correspondence between prefix-free codes and…

Information Theory · Computer Science 2026-03-31 Dean Kraizberg