An Exploration of Left-Corner Transformations


Date

2023-12

Publication Type

Conference Paper

ETH Bibliography

yes

Citations

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Data

Abstract

The left-corner transformation (Rosenkrantz and Lewis, 1970) is used to remove left recursion from context-free grammars, which is an important step towards making the grammar parsable top-down with simple techniques. This paper generalizes prior left-corner transformations to support semiring-weighted production rules and to provide finer-grained control over which left corners may be moved. Our generalized left-corner transformation (GLCT) arose from unifying the left-corner transformation and speculation transformation (Eisner and Blatz, 2007), originally for logic programming. Our new transformation and speculation define equivalent weighted languages. Yet, their derivation trees are structurally different in an important way: GLCT replaces left recursion with right recursion, and speculation does not. We also provide several technical results regarding the formal relationships between the outputs of GLCT, speculation, and the original grammar. Lastly, we empirically investigate the efficiency of GLCT for left-recursion elimination from grammars of nine languages. Code: https://github.com/rycolab/left-corner

Publication status

published

Book title

Proceedings of the 2023 Conference on Empirical Methods in Natural Language Processing

Journal / series

Volume

Pages / Article No.

13393 - 13427

Publisher

Association for Computational Linguistics

Event

2023 Conference on Empirical Methods in Natural Language Processing (EMNLP 2023)

Edition / version

Methods

Software

Geographic location

Date collected

Date created

Subject

Organisational unit

09462 - Hofmann, Thomas / Hofmann, Thomas check_circle
09682 - Cotterell, Ryan / Cotterell, Ryan check_circle

Notes

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