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Efficient enumeration of weighted tree languages over the rropical semiring
Umeå University, Faculty of Science and Technology, Department of Computing Science. (Foundations of Language Processing)
Umeå University, Faculty of Science and Technology, Department of Computing Science. (Foundations of Language Processing)ORCID iD: 0000-0001-7349-7693
Umeå University, Faculty of Science and Technology, Department of Computing Science. (Foundations of Language Processing)
2017 (English)In: Journal of computer and system sciences (Print), ISSN 0022-0000, E-ISSN 1090-2724, , 78 p.Article in journal (Refereed) Epub ahead of print
Abstract [en]

We generalise a search algorithm by Mohri and Riley from strings to trees. The original algorithm takes as input a nondeterministic weighted automaton M over the tropical semiring and an integer N, and outputs N strings of minimal weight with respect to M. In our setting, M is a weighted tree automaton, again over the tropical semiring, and the output is a set of N trees with minimal weight in this language. We prove that the algorithm is correct, and that its time complexity is a low polynomial in N and the relevant size parameters of M. 

Place, publisher, year, edition, pages
2017. , 78 p.
Keyword [en]
weighted tree automaton, N-best analysis, tropical semiring
National Category
Computer Science
Research subject
Computer Science
Identifiers
URN: urn:nbn:se:umu:diva-132963DOI: 10.1016/j.jcss.2017.03.006OAI: oai:DiVA.org:umu-132963DiVA: diva2:1084722
Available from: 2017-03-27 Created: 2017-03-27 Last updated: 2017-04-12

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Björklund, JohannaDrewes, FrankZechner, Niklas
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Citation style
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  • Other locale
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