# Another Facet of LIG Parsing (extended version)

Abstract : In this paper we present a new parsing algorithm for linear indexed grammars (LIGs) in the same spirit as the one described in (Vijay-Shanker et Weir, 1993) for tree adjoining grammars. For a LIG $L$ and an input string $x$ of length $n$, we build a non ambiguous context-free grammar whose sentences are all (and exclusively) valid derivation sequences in $L$ which lead to $x$. We show that this grammar can be built in ${\cal O}(n^6)$ time and that individual parses can be extracted in linear time with the size of the extracted parse tree. Though this ${\cal O}(n^6)$ upper bound does not improve over previous results, the average case behaves much better. Moreover, practical parsing times can be decreased by some statically performed computations.
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https://hal.inria.fr/inria-00073833
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Submitted on : Wednesday, May 24, 2006 - 1:51:55 PM
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### Identifiers

• HAL Id : inria-00073833, version 1

### Citation

Pierre Boullier. Another Facet of LIG Parsing (extended version). [Research Report] RR-2858, INRIA. 1996. ⟨inria-00073833⟩

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