Linear Distances between Markov Chains

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Authors

DACA Przemyslaw HENZINGER Thomas A. KŘETÍNSKÝ Jan PETROV Tatjana

Year of publication 2016
Type Article in Proceedings
Conference 27th International Conference on Concurrency Theory, CONCUR 2016
MU Faculty or unit

Faculty of Informatics

Citation
Doi http://dx.doi.org/10.4230/LIPIcs.CONCUR.2016.20
Field Informatics
Keywords verification; temporal logic; statistical model checking
Description We introduce a general class of distances (metrics) between Markov chains, which are based on linear behaviour. This class encompasses distances given topologically (such as the total variation distance or trace distance) as well as by temporal logics or automata. We investigate which of the distances can be approximated by observing the systems, i.e. by black-box testing or simulation, and we provide both negative and positive results.
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