### Abstract

The Generalized LR parsing algorithm for context-free grammars is notable for having a decent worst-case running time (cubic in the length of the input string), as well as much better performance on “good” grammars. This paper extends the Generalized LR algorithm to the case of “grammars with left contexts” (M. Barash, A. Okhotin, “An extension of context-free grammars with one-sided context specifications”, Inform. Comput., 2014), which augment the context-free grammars with special operators for referring to the left context of the current substring, as well as with a conjunction operator (as in conjunctive grammars) for combining syntactical conditions. All usual components of the LR algorithm, such as the parsing table, shift and reduce actions, etc., are extended to handle the context operators. The resulting algorithm is applicable to any grammar with left contexts and has the same worst-case cubic-time performance as in the case of context-free grammars.

Original language | English |
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Title of host publication | Computer Science - Theory and Applications - 10th International Computer Science Symposium in Russia, CSR 2015, Proceedings |

Editors | Lev D. Beklemishev, Daniil V. Musatov, Daniil V. Musatov |

Publisher | Springer Nature |

Pages | 67-79 |

Number of pages | 13 |

ISBN (Print) | 9783319202969 |

DOIs | |

Publication status | Published - 1 Jan 2015 |

Event | 10th International Computer Science Symposium in Russia, CSR 2015 - Listvyanka Duration: 13 Jul 2015 → 17 Jul 2015 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 9139 |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Conference

Conference | 10th International Computer Science Symposium in Russia, CSR 2015 |
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Country | Russian Federation |

City | Listvyanka |

Period | 13/07/15 → 17/07/15 |

### Scopus subject areas

- Theoretical Computer Science
- Computer Science(all)

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## Cite this

*Computer Science - Theory and Applications - 10th International Computer Science Symposium in Russia, CSR 2015, Proceedings*(pp. 67-79). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9139). Springer Nature. https://doi.org/10.1007/978-3-319-20297-6_5