
arXiv: 1011.0488
handle: 11390/696565 , 11390/868477
We give a stochastic extension of the Brane Calculus, along the lines of recent work by Cardelli and Mardare. In this presentation, the semantics of a Brane process is a measure of the stochastic distribution of possible derivations. To this end, we first introduce a labelled transition system for Brane Calculus, proving its adequacy w.r.t. the usual reduction semantics. Then, brane systems are presented as Markov processes over the measurable space generated by terms up-to syntactic congruence, and where the measures are indexed by the actions of this new LTS. Finally, we provide a SOS presentation of this stochastic semantics, which is compositional and syntax-driven.
In Proceedings MeCBIC 2010, arXiv:1011.0051
FOS: Computer and information sciences, stochastic semantics, Systems biology, networks, G.3, Rate bisimilarity, Theoretical Computer Science, Computational Engineering, Finance, and Science (cs.CE), D.3.1; G.3, Models and methods for concurrent and distributed computing (process algebras, bisimulation, transition nets, etc.), QA1-939, Stochastic semantics, Computer Science - Computational Engineering, Finance, and Science, D.3.1, structural operational semantics, Markov processes, Modes of computation (nondeterministic, parallel, interactive, probabilistic, etc.), systems biology, QA75.5-76.95, rate bisimilarity, Brane calculus, Electronic computers. Computer science, Structural operational semantics, Systems biology, Mathematics, Brane Calculus, Computer Science(all)
FOS: Computer and information sciences, stochastic semantics, Systems biology, networks, G.3, Rate bisimilarity, Theoretical Computer Science, Computational Engineering, Finance, and Science (cs.CE), D.3.1; G.3, Models and methods for concurrent and distributed computing (process algebras, bisimulation, transition nets, etc.), QA1-939, Stochastic semantics, Computer Science - Computational Engineering, Finance, and Science, D.3.1, structural operational semantics, Markov processes, Modes of computation (nondeterministic, parallel, interactive, probabilistic, etc.), systems biology, QA75.5-76.95, rate bisimilarity, Brane calculus, Electronic computers. Computer science, Structural operational semantics, Systems biology, Mathematics, Brane Calculus, Computer Science(all)
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