Abstract
Connectors have shown their great potential for coordination of concurrent activities encapsulated as components and services in large-scale distributed applications. In this paper, we develop a formal model for a probabilistic extension of the channel-based coordination language Reo. The model formalizes connectors with probabilistic behavior as relations on Timed Data Distribution Streams (TDDSs), which specifies properties of primitive channels and complex connectors with probabilistic behavior properly. Furthermore, the implementation of this probabilistic model has been developed in Coq, which serves to demonstrate how the model can be used to prove probabilistic connectors’ properties.
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Notes
- 1.
Here \({}^\smallfrown \) is the concatenation operator on sequences. The concatenation of two sequences produces a new sequence that starts with the first sequence followed by the second sequence.
- 2.
For two connectors \(\mathbf{R}_1\) and \(\mathbf{R}_2\), we say that \(\mathbf{R}_2\) is a refinement of \(\mathbf{R}_1\) (denoted by \(\mathbf{R}_1 \sqsubseteq \mathbf{R}_2\)) if \((P_1\Rightarrow P_2)\wedge (P_1\wedge Q_2\Rightarrow Q_1)\), and they are equivalent if \(\mathbf{R}_1 \sqsubseteq \mathbf{R}_2\) and \(\mathbf{R}_2 \sqsubseteq \mathbf{R}_1\).
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Acknowledgement
The work was partially supported by the National Natural Science Foundation of China under grant no. 61772038, 61532019, 61202069 and 61272160.
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Sun, M., Zhang, X. (2018). A Relational Model for Probabilistic Connectors Based on Timed Data Distribution Streams. In: Jansen, D., Prabhakar, P. (eds) Formal Modeling and Analysis of Timed Systems. FORMATS 2018. Lecture Notes in Computer Science(), vol 11022. Springer, Cham. https://doi.org/10.1007/978-3-030-00151-3_8
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