Title
Efficient enumeration of weighted tree languages over the tropical semiring
Abstract
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.
Year
DOI
Venue
2019
10.1016/j.jcss.2017.03.006
Journal of Computer and System Sciences
Keywords
Field
DocType
Weighted tree automaton,N-best analysis,Tropical semiring
Integer,Discrete mathematics,Combinatorics,Search algorithm,Nondeterministic algorithm,Enumeration,Automaton,Noncommutative signal-flow graph,Mathematics,Semiring
Journal
Volume
ISSN
Citations 
104
0022-0000
0
PageRank 
References 
Authors
0.34
9
3
Name
Order
Citations
PageRank
Johanna Björklund156.23
Frank Drewes2266.10
Niklas Zechner333.19