Abstract
Stochastic Process Algebras (SPA) are process algebras in which the duration of each activity is given by a random variable. If the stochastic aspect is restricted to Markovian, i.e. exponentially distributed durations, nice algebraic foundations are available. They include a formal semantics and an equational theory for Markovian bisimulation, a congruence that can be seen as a stochastic counterpart of strong bisimulation. This paper extends that theory with a stochastic notion of Milner's observational congruence. We enrich a basic SPA with immediate actions that happen instantaneously if enabled. For the enriched calculus we will derive a sound and complete characterisation of Markovian observational congruence, a conservative extension of both Markovian bisimulation and observational congruence. The usefulness of immediate actions together with their equational theory will be illustrated by means of an example. Additionally, we will discuss some implementation and modelling issues arising from our results.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
