On multiple context-free grammars
Theoretical Computer Science
Handbook of formal languages, vol. 3
Independent parallelism in finite copying parallel rewriting systems
Theoretical Computer Science
Characterizing structural descriptions produced by various grammatical formalisms
ACL '87 Proceedings of the 25th annual meeting on Association for Computational Linguistics
Generalized multitext grammars
ACL '04 Proceedings of the 42nd Annual Meeting on Association for Computational Linguistics
Empirical lower bounds on the complexity of translational equivalence
ACL-44 Proceedings of the 21st International Conference on Computational Linguistics and the 44th annual meeting of the Association for Computational Linguistics
Non-projective dependency parsing using spanning tree algorithms
HLT '05 Proceedings of the conference on Human Language Technology and Empirical Methods in Natural Language Processing
Mildly non-projective dependency structures
COLING-ACL '06 Proceedings of the COLING/ACL on Main conference poster sessions
Parsing mildly non-projective dependency structures
EACL '09 Proceedings of the 12th Conference of the European Chapter of the Association for Computational Linguistics
Treebank grammar techniques for non-projective dependency parsing
EACL '09 Proceedings of the 12th Conference of the European Chapter of the Association for Computational Linguistics
Optimal reduction of rule length in linear context-free rewriting systems
NAACL '09 Proceedings of Human Language Technologies: The 2009 Annual Conference of the North American Chapter of the Association for Computational Linguistics
Efficient parsing of well-nested linear context-free rewriting systems
HLT '10 Human Language Technologies: The 2010 Annual Conference of the North American Chapter of the Association for Computational Linguistics
Optimal rank reduction for linear context-free rewriting systems with fan-out two
ACL '10 Proceedings of the 48th Annual Meeting of the Association for Computational Linguistics
Grammar factorization by tree decomposition
Computational Linguistics
Optimal head-driven parsing complexity for linear context-free rewriting systems
HLT '11 Proceedings of the 49th Annual Meeting of the Association for Computational Linguistics: Human Language Technologies - Volume 1
Survey: Weighted Extended Top-down Tree Transducers Part II—Application in Machine Translation
Fundamenta Informaticae - Non-Classical Models of Automata and Applications II
Efficient parsing with linear context-free rewriting systems
EACL '12 Proceedings of the 13th Conference of the European Chapter of the Association for Computational Linguistics
Mildly non-projective dependency grammar
Computational Linguistics
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Factorization is the operation of transforming a production in a Linear Context-Free Rewriting System (LCFRS) into two simpler productions by factoring out a subset of the nonterminals on the production's righthand side. Factorization lowers the rank of a production but may increase its fan-out. We show how to apply factorization in order to minimize the parsing complexity of the resulting grammar, and study the relationship between rank, fan-out, and parsing complexity. We show that it is always possible to obtain optimum parsing complexity with rank two. However, among transformed grammars of rank two, minimum parsing complexity is not always possible with minimum fan-out. Applying our factorization algorithm to LCFRS rules extracted from dependency treebanks allows us to find the most efficient parsing strategy for the syntactic phenomena found in non-projective trees.