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Recursive descent parsing for Boolean grammars

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Abstract

The recursive descent parsing method for the context-free grammars is extended for their generalization, Boolean grammars, which include explicit set-theoretic operations in the formalism of rules and which are formally defined by language equations. The algorithm is applicable to a subset of Boolean grammars. The complexity of a direct implementation varies between linear and exponential, while memoization keeps it down to linear.

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Authors and Affiliations

  1. Department of Mathematics, University of Turku, Turku, 20014, Finland

    Alexander Okhotin

  2. Academy of Finland, Vilhonvuorenkatu 6, Helsinki, 00501, Finland

    Alexander Okhotin

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  1. Alexander Okhotin
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Correspondence to Alexander Okhotin.

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Supported by the Academy of Finland under grant 118540.

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Okhotin, A. Recursive descent parsing for Boolean grammars. Acta Informatica 44, 167–189 (2007). https://doi.org/10.1007/s00236-007-0045-0

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  • DOI: https://doi.org/10.1007/s00236-007-0045-0

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