Complementation and Inclusion of Weighted Automata on Infinite Trees

Stefan BorgwardtStefan Borgwardt, Rafael PeñalozaRafael Peñaloza

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Stefan Borgwardt, Rafael Peñaloza
Complementation and Inclusion of Weighted Automata on Infinite Trees
Technical Report, Chair for Automata Theory, Institute for Theoretical Computer Science, Dresden University of Technology, volume LTCS-10-05, 2010. LTCS-Report

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KurzfassungAbstract
Weighted automata can be seen as a natural generalization of finite state automata to more complex algebraic structures. The standard reasoning tasks for unweighted automata can also be generalized to the weighted setting. In this report we study the problems of intersection, complementation and inclusion for weighted automata on infinite trees and show that they are not harder than reasoning with unweighted automata. We also present explicit methods for solving these problems optimally.
Bemerkung: Note: See http://lat.inf.tu-dresden.de/research/reports.html.
Forschungsgruppe:Research Group: AutomatentheorieAutomata Theory

@techreport{ BoPe-ltcs-10-05,
  address = {Germany},
  author = {Stefan {Borgwardt} and Rafael {Pe{\~n}aloza}},
  institution = {Chair for Automata Theory, Institute for Theoretical Computer Science, Dresden University of Technology},
  note = {See http://lat.inf.tu-dresden.de/research/reports.html.},
  number = {LTCS-10-05},
  title = {Complementation and Inclusion of Weighted Automata on Infinite Trees},
  type = {LTCS-Report},
  year = {2010},
}