Chatterjee, KrishnenduDoyen, LaurentHenzinger, Thomas A.2011-12-162011-12-162011-12-16201010.2168/LMCS-6(3:10)2010https://infoscience.epfl.ch/handle/20.500.14299/75089WOS:000282653500010Weighted automata are nondeterministic automata with numerical weights on transitions. They can define quantitative languages L that assign to each word w a real number L(w). In the case of infinite words, the value of a run is naturally computed as the maximum, limsup, liminf, limit-average, or discounted-sum of the transition weights. The value of a word w is the supremum of the values of the runs over w. We study expressiveness and closure questions about these quantitative languages.Quantitative verificationWeighted automataExpressiveness and closure propertiesWeighted AutomataStochastic GamesLogicsComplexityPayoffExpressiveness And Closure Properties For Quantitative Languagestext::journal::journal article::research article