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Linear Bounded Automata and Context-Sensitive Grammars

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Automata Theory and Formal Languages

Part of the book series: Undergraduate Topics in Computer Science ((UTICS))

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Abstract

In this chapter we first show that the notions of the context-sensitive grammars and the type 1 grammars are equivalent. Then we show that every context-sensitive language is a recursive set. Finally, we introduce the class of the linear bounded automata and we show that this class of automata is characterized by the fact that it accepts the set of the context-sensitive languages.

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Correspondence to Alberto Pettorossi .

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Pettorossi, A. (2022). Linear Bounded Automata and Context-Sensitive Grammars. In: Automata Theory and Formal Languages. Undergraduate Topics in Computer Science. Springer, Cham. https://doi.org/10.1007/978-3-031-11965-1_4

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  • DOI: https://doi.org/10.1007/978-3-031-11965-1_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-11964-4

  • Online ISBN: 978-3-031-11965-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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