Classical logic with some probability operators.
Considering uncertainty and dependence in Boolean, quantum and fuzzy logics
A degree of probabilistic dependence is introduced in the classical logic using the Frank family of -norms known from fuzzy logics. In the quantum logic a degree of quantum dependence is added corresponding to the level of noncompatibility. Further, in the case of the fuzzy logic with -states, (resp. -states) the consideration turned out to be fully analogous to (resp. considerably different from) the classical situation.
Continuous Time Probability Logic
Contributions to foundations of probability calculus on the basis of the modal logical calculus or
Contributions to foundations of probability calculus on the basis of the modal logical calculus or
Contributions to foundations of probability calculus on the basis of the modal logical calculus or
Correction to: “A note on nonaxiomatizability of independence relations generated by certain probabilistic structures”
Cylindric probability algebras.