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International Conference on Language and Automata Theory and Applications

LATA 2018: Language and Automata Theory and Applications pp 36–59Cite as

Underlying Principles and Recurring Ideas of Formal Grammars

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10792))

Abstract

The paper investigates some of the fundamental ideas of the context-free grammar theory, as they are applied to several extensions and subclasses of context-free grammars. For these grammar families, including multi-component grammars, tree-adjoining grammars, conjunctive grammars and Boolean grammars, a summary of the following properties is given: parse trees, language equations, closure under several operations, normal forms, parsing algorithms, representation in the FO(LFP) logic, representations by automata and by categorial grammars, homomorphic characterizations, hardest language theorems, pumping lemmata and other limitations, computational complexity.

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  1. St. Petersburg State University, 7/9 Universitetskaya nab., Saint Petersburg, 199034, Russia

    Alexander Okhotin

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  1. Bar-Ilan University, Ramat Gan, Israel

    Shmuel Tomi Klein

  2. Rovira i Virgili University, Tarragona, Spain

    Carlos Martín-Vide

  3. Ariel University, Ariel, Israel

    Dana Shapira

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Okhotin, A. (2018). Underlying Principles and Recurring Ideas of Formal Grammars. In: Klein, S., Martín-Vide, C., Shapira, D. (eds) Language and Automata Theory and Applications. LATA 2018. Lecture Notes in Computer Science(), vol 10792. Springer, Cham. https://doi.org/10.1007/978-3-319-77313-1_3

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