@inproceedings{boullier-1995-yet,
title = "Yet Another $0(n^6)$ Recognition Algorithm for Mildly Context-Sensitive Languages",
author = "Boullier, Pierre",
editor = "Hajicova, Eva and
Lang, Bernard and
Berwick, Robert and
Bunt, Harry and
Carpenter, Bob and
Church, Ken and
Joshi, Aravind and
Kaplan, Ronald and
Kay, Martin and
Nagao, Makoto and
Nijholt, Anton and
Steedman, Mark and
Thompson, Henry and
Tomita, Masaru and
Vijay-Shanker, K. and
Wilks, Yorick and
Wittenburg, Kent",
booktitle = "Proceedings of the Fourth International Workshop on Parsing Technologies",
month = sep # " 20-24",
year = "1995",
address = "Prague and Karlovy Vary, Czech Republic",
publisher = "Association for Computational Linguistics",
url = "https://aclanthology.org/1995.iwpt-1.7",
pages = "34--47",
abstract = "Vijay-Shanker and Weir have shown in [17] that Tree Adjoining Grammars and Combinatory Categorial Grammars can be transformed into equivalent Linear Indexed Grammars (LIGs) which can be recognized in $0(n^6)$ time using a Cocke-Kasami-Younger style algorithm. This paper exhibits another recognition algorithm for LIGs, with the same upper-bound complexity, but whose average case behaves much better. This algorithm works in two steps: first a general context-free parsing algorithm (using the underlying context-free grammar) builds a shared parse forest, and second, the LIG properties are checked on this forest. This check is based upon the composition of simple relations and does not require any computation of symbol stacks.",
}
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<namePart type="given">Makoto</namePart>
<namePart type="family">Nagao</namePart>
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<namePart type="given">Anton</namePart>
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<namePart type="given">Mark</namePart>
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<namePart type="given">Henry</namePart>
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<name type="personal">
<namePart type="given">Masaru</namePart>
<namePart type="family">Tomita</namePart>
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<abstract>Vijay-Shanker and Weir have shown in [17] that Tree Adjoining Grammars and Combinatory Categorial Grammars can be transformed into equivalent Linear Indexed Grammars (LIGs) which can be recognized in 0(n⁶) time using a Cocke-Kasami-Younger style algorithm. This paper exhibits another recognition algorithm for LIGs, with the same upper-bound complexity, but whose average case behaves much better. This algorithm works in two steps: first a general context-free parsing algorithm (using the underlying context-free grammar) builds a shared parse forest, and second, the LIG properties are checked on this forest. This check is based upon the composition of simple relations and does not require any computation of symbol stacks.</abstract>
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%0 Conference Proceedings
%T Yet Another 0(n⁶) Recognition Algorithm for Mildly Context-Sensitive Languages
%A Boullier, Pierre
%Y Hajicova, Eva
%Y Lang, Bernard
%Y Berwick, Robert
%Y Bunt, Harry
%Y Carpenter, Bob
%Y Church, Ken
%Y Joshi, Aravind
%Y Kaplan, Ronald
%Y Kay, Martin
%Y Nagao, Makoto
%Y Nijholt, Anton
%Y Steedman, Mark
%Y Thompson, Henry
%Y Tomita, Masaru
%Y Vijay-Shanker, K.
%Y Wilks, Yorick
%Y Wittenburg, Kent
%S Proceedings of the Fourth International Workshop on Parsing Technologies
%D 1995
%8 sep 20 24
%I Association for Computational Linguistics
%C Prague and Karlovy Vary, Czech Republic
%F boullier-1995-yet
%X Vijay-Shanker and Weir have shown in [17] that Tree Adjoining Grammars and Combinatory Categorial Grammars can be transformed into equivalent Linear Indexed Grammars (LIGs) which can be recognized in 0(n⁶) time using a Cocke-Kasami-Younger style algorithm. This paper exhibits another recognition algorithm for LIGs, with the same upper-bound complexity, but whose average case behaves much better. This algorithm works in two steps: first a general context-free parsing algorithm (using the underlying context-free grammar) builds a shared parse forest, and second, the LIG properties are checked on this forest. This check is based upon the composition of simple relations and does not require any computation of symbol stacks.
%U https://aclanthology.org/1995.iwpt-1.7
%P 34-47
Markdown (Informal)
[Yet Another 0(n6) Recognition Algorithm for Mildly Context-Sensitive Languages](https://aclanthology.org/1995.iwpt-1.7) (Boullier, IWPT-WS 1995)
ACL