Titlebook: Semantics of Probabilistic Processes; An Operational Appro Yuxin Deng Book 2014 Shanghai Jiao Tong University Press, Shanghai and Springer-

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Probabilistic Testing Semantics,state and finitely branching systems, vector-based testing is equivalent to scalar testing that uses only one success action. Other variants, such as reward testing and extremal reward testing, are also discussed. They all coincide with vector-based testing as far as finitary systems are concerned.

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and algorithmic perspectives.Demonstrates the use of many maThis book discusses the semantic foundations of concurrent systems with nondeterministic and probabilistic behaviour. Particular attention is given to clarifying the relationship between testing and simulation semantics and characterising b

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Testing Finite Probabilistic Processes,witness this, otherwise a modal formula can be constructed that is satisfiable by . but not by .. Moreover, the distinguishing formula can be turned into a test that . can pass but . cannot. Finally, for finite processes, both may and must testing preorders can be completely axiomatised.

Organization

voluble

Book 2014 clarifying the relationship between testing and simulation semantics and characterising bisimulations from metric, logical, and algorithmic perspectives. Besides presenting recent research outcomes in probabilistic concurrency theory, the book exemplifies the use of many mathematical techniques to

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Introduction,ional, axiomatic and operational. This book focuses on the last one and more specifically on (bi)simulation semantics and testing semantics. The second section surveys the contents and main results for other chapters of the book.

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虚度

Probabilistic Bisimulation,n. To define relations between distributions, we need to lift a relation on states to be a relation on distributions of states. There is a natural lifting operation that nicely corresponds to the Kantorovich metric, a fundamental concept used in mathematics to lift a metric on states to a metric on

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antipsychotic

Testing Finite Probabilistic Processes,relations. Unlike the nonprobabilistic setting, where there is a clear gap between testing and simulation semantics, here testing semantics is as strong as simulation semantics. Second, a probabilistic logic is presented to completely determine testing preorders. Therefore, both positive and negativ