Adventures in Multi-dimensional Parsing: Cycles and Disorders

Kent Wittenburg


Abstract
Among the proposals for multidimensional grammars is a family of constraint-based grammatical frameworks, including Relational Grammars. In Relational languages, expressions are formally defined as a set of relations whose tuples are taken from an indexed set of symbols. Both bottom-up parsing and Earley-style parsing algorithms have previously been proposed for different classes of Relational languages. The Relational language class for Earley style parsing in Wittenburg (1992a) requires that each relation be a partial order. However, in some real-world domains, the relations do not naturally conform to these restrictions. In this paper I discuss motivations and methods for predictive, Earley-style parsing of multidimensional languages when the relations involved do not necessarily yield an ordering, e.g., when the relations are symmetric and/or nontransitive. The solution involves guaranteeing that a single initial start position for parsing can be associated with any member of the input set. The domains in which these issues are discussed involve incremental parsing in interfaces and off-line verification of multidimensional data.
Anthology ID:
1993.iwpt-1.26
Volume:
Proceedings of the Third International Workshop on Parsing Technologies
Month:
August 10-13
Year:
1993
Address:
Tilburg, Netherlands and Durbuy, Belgium
Venue:
IWPT
SIG:
SIGPARSE
Publisher:
Association for Computational Linguistics
Note:
Pages:
333–348
Language:
URL:
https://aclanthology.org/1993.iwpt-1.26
DOI:
Bibkey:
Cite (ACL):
Kent Wittenburg. 1993. Adventures in Multi-dimensional Parsing: Cycles and Disorders. In Proceedings of the Third International Workshop on Parsing Technologies, pages 333–348, Tilburg, Netherlands and Durbuy, Belgium. Association for Computational Linguistics.
Cite (Informal):
Adventures in Multi-dimensional Parsing: Cycles and Disorders (Wittenburg, IWPT 1993)
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PDF:
https://preview.aclanthology.org/starsem-semeval-split/1993.iwpt-1.26.pdf