Probabilistic Extensions of Various Logical Systems

The contributions in this book survey results on combinations of probabilistic and various other classical, temporal and justification logical systems. Formal languages of these logics are extended with probabilistic operators. The aim is to provide a systematic overview and an accessible presentation of mathematical techniques used to obtain results on formalization, completeness, compactness and decidability.

The book will be of value to researchers in logic and it can be used as a supplementary text in graduate courses on non-classical logics.

Contributions survey results on combinations of probabilistic and other logical systems Accessible presentation of techniques used to obtain results on formalization, completeness, compactness and decidability Valuable for researchers in logic

Inhalt
Logics with Probability Operators.- Formalization of Probabilities with Nonlinearly Ordered Ranges.- ProbabilisticTemporal Logics.- Probabilistic Modeling of Default Reasoning.- Some New Probability Operators.- Application of Logics About Simple Probabilities.- Probabilized Sequent Calculus and Natural Deduction System for Classical Logic.- Justification Logics with Probability Operators.- Index