When equivalence and bisimulation join forces in probabilistic automata | |
Feng, Yuan (1) ; Zhang, Lijun (3) | |
2014 | |
会议名称 | 19th International Symposium on Formal Methods, FM 2014 |
会议日期 | May 12, 2014 - May 16, 2014 |
会议地点 | Singapore, Singapore |
页码 | 247-262 |
通讯作者 | Zhang, L. |
中文摘要 | Probabilistic automata were introduced by Rabin in 1963 as language acceptors. Two automata are equivalent if and only if they accept each word with the same probability. On the other side, in the process algebra community, probabilistic automata were re-proposed by Segala in 1995 which are more general than Rabin's automata. Bisimulations have been proposed for Segala's automata to characterize the equivalence between them. So far the two notions of equivalences and their characteristics have been studied most independently. In this paper, we consider Segala's automata, and propose a novel notion of distribution-based bisimulation by joining the existing equivalence and bisimilarities. Our bisimulation bridges the two closely related concepts in the community, and provides a uniform way of studying their characteristics. We demonstrate the utility of our definition by studying distribution-based bisimulation metrics, which gives rise to a robust notion of equivalence for Rabin's automata. © 2014 Springer International Publishing Switzerland. |
英文摘要 | Probabilistic automata were introduced by Rabin in 1963 as language acceptors. Two automata are equivalent if and only if they accept each word with the same probability. On the other side, in the process algebra community, probabilistic automata were re-proposed by Segala in 1995 which are more general than Rabin's automata. Bisimulations have been proposed for Segala's automata to characterize the equivalence between them. So far the two notions of equivalences and their characteristics have been studied most independently. In this paper, we consider Segala's automata, and propose a novel notion of distribution-based bisimulation by joining the existing equivalence and bisimilarities. Our bisimulation bridges the two closely related concepts in the community, and provides a uniform way of studying their characteristics. We demonstrate the utility of our definition by studying distribution-based bisimulation metrics, which gives rise to a robust notion of equivalence for Rabin's automata. © 2014 Springer International Publishing Switzerland. |
收录类别 | EI |
会议录出版地 | Springer Verlag |
语种 | 英语 |
ISSN号 | 3029743 |
ISBN号 | 9783319064093 |
内容类型 | 会议论文 |
源URL | [http://ir.iscas.ac.cn/handle/311060/16581] ![]() |
专题 | 软件研究所_软件所图书馆_会议论文 |
推荐引用方式 GB/T 7714 | Feng, Yuan ,Zhang, Lijun . When equivalence and bisimulation join forces in probabilistic automata[C]. 见:19th International Symposium on Formal Methods, FM 2014. Singapore, Singapore. May 12, 2014 - May 16, 2014. |
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