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07 February 2025
 
  » arxiv » 1605.0186

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Linear Distances between Markov Chains
Przemysław Daca ; Thomas A. Henzinger ; Jan Křetínský ; Tatjana Petrov ;
Date 1 May 2016
AbstractWe introduce a general class of distances (metrics) over 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.
Source arXiv, 1605.0186
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