论文标题

真正的并发可能很容易

True Concurrency Can Be Easy

论文作者

Gorrieri, Roberto

论文摘要

步进净分配是有限的培养皿网的共同诱导行为关系,这是对有限的petri网络上标准步骤双拟合\ cite {nt84}定义的平滑概括。它的诱导等效性提供了一种替代性的,更简单的表征,即因果关系\ cite {g15,gor22},因为它不诉诸于任何因果关系结构,并且是结构上具有结构性的bisimarlity \ cite \ cite {g15},因为它不需要在相关标记之间进行表现力映射。我们表明,可以通过合适的模态逻辑(NET模态逻辑的首字母缩写)以逻辑表征步进净二比度:当它们满足相同的NML公式时,两个标记是步进的net Bisiminar。

Step net bisimulation is a coinductive behavioral relation for finite Petri nets, which is a smooth generalization of the definition of standard step bisimulation \cite{NT84} on finite Petri nets. Its induced equivalence offers an alternative, much simpler characterization of causal-net bisimilarity \cite{G15,Gor22}, as it does not resort to any causality structure, and of structure-preserving bisimilarity \cite{G15}, as it does not require bijective mappings between related markings. We show that step net bisimilarity can be characterized logically by means of a suitable modal logic, called NML (acronym of net modal logic): two markings are step net bisimilar if and only if they satisfy the same NML formulae.

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