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Continuous Markovian Logics - Axiomatization and Quantified Metatheory

Radu Mardare ; Luca Cardelli ; Kim G. Larsen.

Continuous Markovian Logic (CML) is a multimodal logic that expresses quantitative and qualitative properties of continuous-time labelled Markov processes with arbitrary (analytic) state-spaces, henceforth called continuous Markov processes (CMPs). The modalities of CML evaluate the rates of the&nbsp;[&hellip;]

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On-the-Fly Computation of Bisimilarity Distances

Giorgio Bacci ; Giovanni Bacci ; Kim G. Larsen ; Radu Mardare.

We propose a distance between continuous-time Markov chains (CTMCs) and study the problem of computing it by comparing three different algorithmic methodologies: iterative, linear program, and on-the-fly. In a work presented at FoSSaCS'12, Chen et al. characterized the bisimilarity distance of&nbsp;[&hellip;]

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Probabilistic logics based on Riesz spaces

Robert Furber ; Radu Mardare ; Matteo Mio.

We introduce a novel real-valued endogenous logic for expressing properties of probabilistic transition systems called Riesz modal logic. The design of the syntax and semantics of this logic is directly inspired by the theory of Riesz spaces, a mature field of mathematics at the intersection of&nbsp;[&hellip;]

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