Parametric probabilistic transition systems for system design and analysis

Author:

Lanotte Ruggero1,Maggiolo-Schettini Andrea2,Troina Angelo2

Affiliation:

1. Dipartimento di Scienze della Cultura, Politiche e dell’Informazione, Università dell’Insubria, Via Valleggio 11, 22100, Como, Italy

2. Dipartimento di Informatica, Universitá di pisa, Largo Pontecorvo 3, 56127, Pisa, Italy

Abstract

Abstract We develop a model of parametric probabilistic transition Systems (PPTSs), where probabilities associated with transitions may be parameters. We show how to find instances of the parameters that satisfy a given property and instances that either maximize or minimize the probability of reaching a certain state. As an application, we model a probabilistic non-repudiation protocol with a PPTS. The theory we develop allows us to find instances that maximize the probability that the protocol ends in a fair state (no participant has an advantage over the others).

Publisher

Association for Computing Machinery (ACM)

Subject

Theoretical Computer Science,Software

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