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A Statistical Approach to Test Stochastic and Probabilistic Systems

García Merayo, Mercedes and Hwang, Iksoon and Nuñez García, Manuel and Cavalli, Ana (2009) A Statistical Approach to Test Stochastic and Probabilistic Systems. Formal methods and software engineering proceedings, 5885 . pp. 186-205. ISSN 0302-9743

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Abstract

In this paper we introduce a formal framework to test systems where non-deterministic decisions are probabilistically quantified and temporal information is defined by using random variables. We define an appropriate extension of the classical finite state machines formalism,
widely used in formal testing approaches, to define the systems that we are interested in. First, we define a conformance relation to establish with respect to a given specification, what a good implementation is. In order to decide whether a system is conforming, we apply different
statistic techniques to determine whether the (unknown) probabilities and random variables governing the behaviour of the implementation match the (known) ones of the specification. Next, we introduce a notion of test case. Finally, we give an alternative characterization of the
previous conformance relation based on how a set of test is passed by the implementation.

Item Type:Article
Additional Information:11th International Conference on Formal Engineering Methods. Rio de Janeiro, BRAZIL. DEC 09-12, 2009.
Uncontrolled Keywords:Finite-state machines; Interval estimation; Algebraic-theory; Test selection; Model; Time; Computer Science; Theory & Methods
Subjects:Sciences > Mathematics > Operations research
ID Code:15545
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