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The Measurable Space of Stochastic Processes

100%

Cardelli L. , Mardare R.

Fundamenta Informaticae

2014

tom Vol. 131, nr 3-4

351--371

We introduce a stochastic extension of CCS endowed with structural operational semantics expressed in terms of measure theory. The set of processes is organised as a measurable space by the sigma-algebra generated by structural congruence. The structural operational semantics associates to each process a set of measures over the space of processes. The measures encode the rates of the transitions from a process (state of a system) to a measurable set of processes. We prove that the stochastic bisimilarity is a congruence, which extends the structural congruence. In addition to an elegant operational semantics, our calculus provides a canonic way to define metrics on processes that measure how similar two processes are in terms of behaviour.

Logical Analysis of Biological Systems

100%

Mardare R. , Priami C.

2005

tom Vol. 64, nr 1-4

275-289

Our paper proposes a technique for performing logical analysis over the calculi for communication and mobility, i.e., Ambient Calculus type of calculi. We show how this analysis can be used in the case of biological models in order to obtain significant information for biologists. The technique is based on set theoretical models we developed for ambient processes by using the power of Hypersets Theory. These models are further used as possible worlds in a Kripke structure organized for a propositional branching temporal logic. Providing the temporal logical structure for the accessibility relation between ambient processes, we open the perspective of reusing model checking algorithms developed for temporal logics in analyzing any phenomena that can be described by these calculi.