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On the equivalence of game and denotational semantics for the probabilistic mu-calculus

Matteo Mio.

The probabilistic (or quantitative) modal mu-calculus is a fixed-point logic de- signed for expressing properties of probabilistic labeled transition systems (PLTS). Two semantics have been studied for this logic, both assigning to every process state a value in the interval [0,1] representing the&nbsp;[&hellip;]

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Probabilistic modal {\mu}-calculus with independent product

Matteo Mio.

The probabilistic modal {\mu}-calculus is a fixed-point logic designed for expressing properties of probabilistic labeled transition systems (PLTS's). Two equivalent semantics have been studied for this logic, both assigning to each state a value in the interval [0,1] representing the probability&nbsp;[&hellip;]

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Monadic Second Order Logic with Measure and Category Quantifiers

Matteo Mio ; Michał Skrzypczak ; Henryk Michalewski.

We investigate the extension of Monadic Second Order logic, interpreted over infinite words and trees, with generalized "for almost all" quantifiers interpreted using the notions of Baire category and Lebesgue measure.

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