Probability logics [electronic resource] : probability-based formalization of uncertain reasoning /
Ognjanović, Zoran.author.(orcid)0000-0003-2508-6480https://orcid.org/0000-0003-2508-6480aut
Rašković, Miodrag.author.
Marković, Zoran.author.
The aim of this book is to provide an introduction to probability logic-based formalization of uncertain reasoning. The authors' primary interest is mathematical techniques for infinitary probability logics used to obtain results about proof-theoretical and model-theoretical issues such as axiomatizations, completeness, compactness, and decidability, including solutions of some problems from the literature. An extensive bibliography is provided to point to related work, and this book may serve as a basis for further research projects, as a reference for researchers using probability logic, and also as a textbook for graduate courses in logic.
Includes bibliographical references at the end of each chapters and index.
Introduction, Historical Background -- Syntax and Semantics of Probability Logics -- Completeness -- Decidability -- Heuristic Procedure for Satisfiability Checking -- Qualitative Probabilities -- Probability Functions -- Intuitionistic, Temporal, First-Order Logic -- Conditional Probabilities -- Probabilistic Approach to Default Reasoning -- Reasoning About Evidence -- Measuring Knowledge Inconsistency.
The aim of this book is to provide an introduction to probability logic-based formalization of uncertain reasoning. The authors' primary interest is mathematical techniques for infinitary probability logics used to obtain results about proof-theoretical and model-theoretical issues such as axiomatizations, completeness, compactness, and decidability, including solutions of some problems from the literature. An extensive bibliography is provided to point to related work, and this book may serve as a basis for further research projects, as a reference for researchers using probability logic, and also as a textbook for graduate courses in logic.
Mathematical logic.
Artificial intelligence.
Logic.
Mathematical Logic and Formal Languages.
Artificial Intelligence.
Logic.
Mathematical Logic and Foundations.