| 摘要: |
| 活性与安全性是网系统的重要行为特性.该文的贡献在于为非对称选择网导出其活性与安全性的一般性质.文章讨论了活性具有单调性的非对称选择网活性与安全性的条件，并给出一个多项式时间算法来判定一个给定的非对称选择网是否是活的、安全的与活性满足单调性.文章还讨论了非对称选择网的两个子类(强化I型与强化II型),并给出活性满足单调性时其(结构)活与(结构)安全的充分条件. |
| 关键词: 非对称选择网,活,安全,结构活,结构安全,活性单调性,强化I型非对称选择网,强化II型非对称选择网. |
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| 基金项目:The research is supported by the National Natural Science Foundation of China(国家自然科学基金,No.69773016)and the National Grand Foundamental Research Program of China(国家重点基础研究专项经费，No.G1998030416). |
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| On Liveness and Safeness of Asymmetric Choice Nets |
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ZHEN Qiang,LU Wei-ming
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| Abstract: |
| Liveness and safeness are important behavioral properties of nets (systems). Many powerful results have been derived for some subclasses of Place/Transition nets (systems). The aim of this contribution is to draw a general perspective of the liveness and safeness for Asymmetric Choice nets (AC nets). Firstly, this paper presents a sufficient and necessary condition for those AC nets which have liveness monotonicity and a polynomial-time algorithm to decide if a given AC system is live and safe, and it satisfies liveness monotonicity. And then the sufficient and necessary conditions of (structural) liveness and (structural) safeness for two subclasses of AC nets (Strong I AC nets, Strong II AC nets) which have liveness monotonicity are presented. |
| Key words: Asymmetric choice net, live, safe, structural liveness, structural safeness, liveness monotonicity, strong I AC net, strong II AC net. |
