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#### Finite-Control Mobile Ambients

##### MPG-Autoren
http://pubman.mpdl.mpg.de/cone/persons/resource/persons44232

Charatonik,  Witold
Programming Logics, MPI for Informatics, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons45585

Talbot,  Jean-Marc
Programming Logics, MPI for Informatics, Max Planck Society;

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##### Zitation

Charatonik, W., Gordon, A. D., & Talbot, J.-M. (2002). Finite-Control Mobile Ambients. In Programming languages and systems: 11th European Symposium on Programming, ESOP 2002. Held as Part of the Joint European Conferences on Theory and Practice of Software, ETAPS 2002 (pp. 295-313). Berlin, Germany: Springer.

We define a finite-control fragment of the ambient calculus, a formalism for describing distributed and mobile computations. A series of examples demonstrates the expressiveness of our fragment. In particular, we encode the choice-free, finite-control, synchronous $\pi$-calculus. We present an algorithm for model checking this fragment against the ambient logic (without composition adjunct). This is the first proposal of a model checking algorithm for ambients to deal with recursively-defined, possibly nonterminating, processes. Moreover, we show that the problem is PSPACE-complete, like other fragments considered in the literature. Finite-control versions of other process calculi are obtained via various syntactic restrictions. Instead, we rely on a novel type system that bounds the number of active ambients and outputs in a process; any typable process has only a finite number of derivatives.