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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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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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