A Unifying Approach to Probabilistic Testing Equivalences
This work addresses foundational issues in modeling probabilistic concurrent systems, which are incremental but important for mobile computing and related domains.
The paper tackles the problem of defining and comparing probabilistic testing equivalences for concurrent systems, proposing a unifying approach that generalizes classical equivalences and demonstrates their congruence properties.
Probabilistic concurrent systems are foundational models for modern mobile computing. In this paper, a unifying approach to probabilistic testing equivalences is proposed. With the help of a new distribution-based semantics for probabilistic models and a probabilistic testing framework with respect to process predicates, the internal characterization and the external characterization for testing equivalences are studied. The latter characterization can be viewed as the generalization of the classical fair/should equivalence and may equivalence. These equivalences are shown to be congruences. A thorough comparison between these equivalences and probabilistic bisimilarities is carried out. The techniques introduced in this paper can be easily extended to other probabilistic concurrent models. To showcase this flexibility, a case study is carried out on the pCSP model.