Title
Language equivalence for probabilistic automata
Abstract
In this paper, we propose a new randomised algorithm for deciding language equivalence for probabilistic automata. This algorithm is based on polynomial identity testing and thus returns an answer with an error probability that can be made arbitrarily small. We implemented our algorithm, as well as deterministic algorithms of Tzeng and Doyen et al., optimised for running time whilst adequately handling issues of numerical stability. We conducted extensive benchmarking experiments, including the verification of randomised anonymity protocols, the outcome of which establishes that the randomised algorithm significantly outperforms the deterministic ones in a majority of our test cases. Finally, we also provide fine-grained analytical bounds on the complexity of these algorithms, accounting for the differences in performance.
Year
DOI
Venue
2011
10.1007/978-3-642-22110-1_42
CAV
Keywords
DocType
Citations 
deterministic algorithm,error probability,randomised anonymity protocol,language equivalence,extensive benchmarking experiment,numerical stability,probabilistic automaton,analytical bound,polynomial identity testing,new randomised algorithm,randomised algorithm
Conference
21
PageRank 
References 
Authors
0.97
21
5
Name
Order
Citations
PageRank
Stefan Kiefer134536.87
Andrzej S. Murawski232432.93
Joël Ouaknine3148199.25
Björn Wachter432620.09
James Worrell5104081.17