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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

In this paper we consider the problem of context-free grammars comparison from the analysis point of view. We show that the problem can be reduced to numerical solution of systems of nonlinear matrix equations. The approach presented here…

Formal Languages and Automata Theory · Computer Science 2018-04-23 J. Joao Almeida , Eliana Grande , Georgi Smirnov

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 purpose of this paper is to show that some combinatorial sequences, such as second-order Eulerian numbers and Eulerian numbers of type $B$, can be generated by context-free grammars.

Combinatorics · Mathematics 2012-08-21 Shi-Mei Ma

Zero-shot learning (ZSL) is a popular research problem that aims at predicting for those classes that have never appeared in the training stage by utilizing the inter-class relationship with some side information. In this study, we propose…

Artificial Intelligence · Computer Science 2020-07-01 Jiaoyan Chen , Freddy Lecue , Yuxia Geng , Jeff Z. Pan , Huajun Chen

Unsupervised Machine Learning techniques have been applied to Natural Language Processing tasks and surpasses the benchmarks such as GLUE with great success. Building language models approach achieves good results in one language and it can…

Computation and Language · Computer Science 2022-11-28 Amir Jafari

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

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

Grammatical inference is a machine learning area, whose fundamentals are built around learning sets. At present, real-life data and examples from manually crafted grammars are used to test their learning performance. This paper aims to…

Formal Languages and Automata Theory · Computer Science 2019-11-15 Olgierd Unold , Agnieszka Kaczmarek , Łukasz Culer

Sequential modelling entails making sense of sequential data, which naturally occurs in a wide array of domains. One example is systems that interact with users, log user actions and behaviour, and make recommendations of items of potential…

Information Retrieval · Computer Science 2021-09-15 Christian Hansen

Sequence-to-sequence learning with neural networks has become the de facto standard for sequence prediction tasks. This approach typically models the local distribution over the next word with a powerful neural network that can condition on…

Computation and Language · Computer Science 2021-11-17 Yoon Kim

As a step toward better document-level understanding, we explore classification of a sequence of sentences into their corresponding categories, a task that requires understanding sentences in context of the document. Recent successful…

Computation and Language · Computer Science 2021-03-24 Arman Cohan , Iz Beltagy , Daniel King , Bhavana Dalvi , Daniel S. Weld

Context-free language theory is a well-established area of mathematics, relevant to computer science foundations and technology. This paper presents the preliminary results of an ongoing formalization project using context-free grammars and…

Formal Languages and Automata Theory · Computer Science 2015-06-11 Marcus V. M. Ramos , Ruy J. G. B. de Queiroz

In this paper we introduce a method to detect words or phrases in a given sequence of alphabets without knowing the lexicon. Our linear time unsupervised algorithm relies entirely on statistical relationships among alphabets in the input…

Computation and Language · Computer Science 2013-12-31 Tamal Chowdhury , Rabindra Rakshit , Arko Banerjee

Future predictions on sequence data (e.g., videos or audios) require the algorithms to capture non-Markovian and compositional properties of high-level semantics. Context-free grammars are natural choices to capture such properties, but…

Machine Learning · Statistics 2018-06-12 Siyuan Qi , Baoxiong Jia , Song-Chun Zhu

A categorial grammar assigns one of several syntactic categories to each symbol of the alphabet, and the category of a string is then deduced from the categories assigned to its symbols using two simple reduction rules. This paper…

Logic · Mathematics 2025-05-21 Maxim Vishnikin , Alexander Okhotin

Sequence classification is an important data mining task in many real world applications. Over the past few decades, many sequence classification methods have been proposed from different aspects. In particular, the pattern-based method is…

Machine Learning · Computer Science 2020-12-15 Zengyou He , Guangyao Xu , Chaohua Sheng , Bo Xu , Quan Zou

In this paper we prove several results on normal forms for linear displacement context-free grammars. The results themselves are rather simple and use well-known techniques, but they are extensively used in more complex constructions.…

Formal Languages and Automata Theory · Computer Science 2015-07-31 Alexey Sorokin

A grammar logic refers to an extension to the multi-modal logic K in which the modal axioms are generated from a formal grammar. We consider a proof theory, in nested sequent calculus, of grammar logics with converse, i.e., every modal…

Logic in Computer Science · Computer Science 2012-04-12 Alwen Tiu , Egor Ianovski , Rajeev Gore

In a recent paper (M. Barash, A. Okhotin, "Defining contexts in context-free grammars", LATA 2012), the authors introduced an extension of the context-free grammars equipped with an operator for referring to the left context of the…

Formal Languages and Automata Theory · Computer Science 2014-05-23 Mikhail Barash , Alexander Okhotin
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