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.
CITATION STYLE
Okhotin, A. (2018). Underlying Principles and Recurring Ideas of Formal Grammars. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 10792 LNCS, pp. 36–59). Springer Verlag. https://doi.org/10.1007/978-3-319-77313-1_3
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