vix.ing · top · new · best · stats · spec

Measurable Stochastics for Brane Calculus

2010/11/02 by Giorgio Bacci, Marino Miculan
Computer Science · #cs.CE

paper · pdf · doi:10.4204/eptcs.40.2

published as EPTCS 40, 2010, pp. 6-22 · In Proceedings MeCBIC 2010, arXiv:1011.0051

arxiv created 2010/11/02 · arxiv updated 2010/11/03

Abstract

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.

Citations