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arXiv cs/0101017cs.LO
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检查公平性和行为抽象中的属性

Checking Properties within Fairness and Behavior Abstractions

Ulrich Ultes-Nitsche, Pierre Wolper

摘要:

本文的动机是这样一个事实,即在公平条件下验证活性属性往往是有问题的,特别是当使用抽象。它表明,在公平下使用比真理更抽象的概念,特别是在公平范围内满足的属性的概念可以导致有趣的可能性。从技术上讲,它首先建立,决定满意度内的公平是一个PSPACE-完全的问题,它表明,公平内满足的属性总是可以满足一些公平的实现。然后,研究了行为抽象与公平性满足之间的相互作用,证明了如果抽象同态是弱连续闭的,则公平性满足可以在行为抽象上得到验证.

英文摘要:

This paper is motivated by the fact that verifying liveness properties under a fairness condition is often problematic, especially when abstraction is used. It shows that using a more abstract notion than truth under fairness, specifically the concept of a property being satisfied within fairness can lead to interesting possibilities. Technically, it is first established that deciding satisfaction within fairness is a PSPACE-complete problem and it is shown that properties satisfied within fairness can always be satisfied by some fair implementation. Thereafter, the interaction between behavior abstraction and satisfaction within fairness is studied and it is proved that satisfaction of properties within fairness can be verified on behavior abstractions, if the abstraction homomorphism is weakly continuation-closed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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