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Łukasiewicz ▫$\mu$▫-calculus [Elektronski vir]
Mio, Matteo ; Simpson, Alex
The paper explores properties of Łukasiewicz ▫$\mu$▫-calculus, a version of the quantitative/probabilistic modal ▫$\mu$▫-calculus containing both weak and strong conjunctions and disjunctions from ...Łukasiewicz (fuzzy) logic. We show that this logic encodes the well-known probabilistic temporal logic PCTL. And we give a model-checking algorithm for computing the rational denotational value of a formula at any state in a finite rational probabilistic nondeterministic transition system
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