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Logics and Automata for Totally Ordered Trees
Uppsala universitet, Institutionen för lingvistik och filologi. (Datorlingvistik)ORCID iD: 0000-0002-2492-9872
INRIA Lille, France.
2008 (English)In: Rewriting Techniques and Applications, Proceedings / [ed] Voronkov, A, Springer Berlin/Heidelberg, 2008, 217-231 p.Conference paper, Published paper (Refereed)
Abstract [en]

A totally ordered tree is a tree equipped with an additional total order on its nodes. It provides a formal model for data that comes with both a hierarchical and a sequential structure; one example for such data are natural language sentences, where a sequential structure is given by word order, and a hierarchical structure is given by grammatical relations between words. In this paper, we study monadic second-order logic (MSO) for totally ordered terms. We show that the MSO satisfiability problem of unrestricted structures is undecidable, but give a decision procedure for practically relevant sub-classes, based on tree automata.

Place, publisher, year, edition, pages
Springer Berlin/Heidelberg, 2008. 217-231 p.
Series
Lecture Notes in Computer Science, ISSN 0302-9743 (print), 1611-3349 (online) ; 5117
National Category
Language Technology (Computational Linguistics)
Research subject
Computational Linguistics
Identifiers
URN: urn:nbn:se:liu:diva-100286DOI: 10.1007/978-3-540-70590-1_15ISI: 000258327800015ISBN: 978-3-540-70588-8 (print)ISBN: 978-3-540-70590-1 (print)OAI: oai:DiVA.org:liu-100286DiVA: diva2:661498
Conference
19th International Conference on Rewriting Techniques and Applications Res Inst Symbol Computat, Hagenberg, AUSTRIA, JUL 15-17, 2008
Available from: 2008-07-17 Created: 2013-11-04 Last updated: 2014-10-08

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Kuhlmann, Marco

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Total: 11 hits
CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf