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Decidability of properties of timed-arc Petri nets

机译:定时弧Petri网性质的可判定性

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摘要

Timed-arc Petri nets (TAPN’s) are not Turing powerful, because, in particular, they cannot simulate a counter with zero testing. Thus, we could think that this model does not increase significantly the expressiveness of untimed Petri nets. But this is not true; in a previous paper we have shown that the differences between them are big enough to make the reachability problem undecidable. On the other hand, coverability and boundedness are proved now to be decidable. This fact is a consequence of the close interrelationship between TAPN’s and transfer nets, for which similar results have been recently proved. Finally, we see that if dead tokens are defined as those that cannot be used for firing any transition in the future, we can detect these kind of tokens in an effective way.
机译:定时弧Petri网(TAPN)的图灵功能不强大,特别是因为它们无法通过零测试来模拟计数器。因此,我们可以认为该模型不会显着提高未定时Petri网的表达能力。但是这是错误的;在先前的论文中,我们表明它们之间的差异足够大,无法确定可达性问题。另一方面,现在证明可覆盖性和有界性是可以决定的。这一事实是TAPN与传输网之间紧密联系的结果,最近已证明了类似的结果。最后,我们看到,如果将无效令牌定义为将来无法用于触发任何过渡的令牌,则可以有效地检测到此类令牌。

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