Dependencies and Simultaneity in Membrane Systems

G. Michele Pinna
Andrea Saba

Membrane system computations proceed in a synchronous fashion: at each step all the applicable rules are actually applied. Hence each step depends on the previous one. This coarse view can be refined by looking at the dependencies among rule occurrences, by recording, for an object, which was the a rule that produced it and subsequently (in a later step), which was the a rule that consumed it. In this paper we propose a way to look also at the other main ingredient in membrane system computations, namely the simultaneity in the rule applications. This is achieved using zero-safe nets that allows to synchronize transitions, i.e., rule occurrences. Zero-safe nets can be unfolded into occurrence nets in a classical way, and to this unfolding an event structure can be associated. The capability of capturing simultaneity of zero-safe nets is transferred on the level of event structure by adding a way to express which events occur simultaneously.

In Gabriel Ciobanu: Proceedings Third Workshop on Membrane Computing and Biologically Inspired Process Calculi 2009 (MeCBIC 2009), Bologna, Italy, 5th September 2009, Electronic Proceedings in Theoretical Computer Science 11, pp. 155–169.
Published: 30th November 2009.

ArXived at: bibtex PDF

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