Abstract
CSP# (Communicating Sequential Programs) is a modelling language designed for specifying concurrent systems by integrating CSP-like compositional operators with sequential programs updating shared variables. In this paper, we define an observation-oriented denotational semantics in an open environment for the CSP# language based on the UTP framework. To deal with shared variables, we lift traditional event-based traces into hybrid traces which consist of event-state pairs for recording process behaviours. We also define refinement to check process equivalence and present a set of algebraic laws which are established based on our denotational semantics. Our approach thus provides a rigorous means for reasoning about the correctness of CSP# process behaviours. We further derive a closed semantics by focusing on special types of hybrid traces; this closed semantics can be linked with existing CSP# operational semantics.
This work is partially supported by project “ZJURP1100105” from Singapore University of Technology and Design.
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Shi, L., Zhao, Y., Liu, Y., Sun, J., Dong, J.S., Qin, S. (2013). A UTP Semantics for Communicating Processes with Shared Variables. In: Groves, L., Sun, J. (eds) Formal Methods and Software Engineering. ICFEM 2013. Lecture Notes in Computer Science, vol 8144. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41202-8_15
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