A Polynomial Translation of Mobile Ambients into Safe Petri Nets: Understanding a Calculus of Hierarchical Protection Domains

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The master thesis of Susanne Goebel generates the deep understanding of the Mobile Ambient (MA) calculus that is necessary to use it as a modeling language. Instead of calculus terms a much more convenient representation via MA trees naturally maps to the application area of networks where processes pass hierarchical protection domains like firewalls. The work analyses MA’s function principles and derives a translation into Safe Petri nets. It extends to arbitrary MA processes but finiteness of the net and therefore decidability of reachability is only guaranteed for bounded processes. The construction is polynomial in process size and bounds so that reachability analysis is only PSPACE-complete.