CSL Model Checking of Deterministic and Stochastic Petri Nets
Conference: MMB 2006 - 13th GI/ITG Conference Measuring, Modelling and Evaluation of Computer and Communication Systems
03/27/2006 - 03/29/2006 at Nürnberg, Germany
Proceedings: MMB 2006
Pages: 18Language: englishTyp: PDF
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Authors:
Martínez, José M.; Haverkort, Boudewijn R. (Faculty of Electrical Engineering, Mathematics and Computer Science, University of Twente, The Netherlands)
Abstract:
Deterministic and Stochastic Petri Nets (DSPNs) are widely used for modeling discrete-event systems where events may occur either without consuming time, after a deterministic time, or after an exponentially distributed time. The underlying process defined by DSPNs, under certain restrictions, corresponds to a class of Markov Regenerative Processes (MRGP). In this paper, we investigate the use of CSL (Continuous Stochastic Logic) to express probabilistic properties, such as time-bounded until and time-bounded next, at the DSPN level. The verification of such properties requires the solution of the steady-state and transient probabilities of the underlying MRGP. We also address a number of semantic issues regarding the application of CSL for MRGP and provide numerical model checking algorithms for this logic. A prototype model checker, based on SPNica, is also described.