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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.
List of contents
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.
Summary
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.
Additional text
“This is a book that presents a logical view of probabilistic inference and, despite its biases and choice of presentation, should be of interest for students and researchers who are interested in such a foundational view of the interactions of logic and probabilities.” (Computing Reviews, June, 2017)
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"This is a book that presents a logical view of probabilistic inference and, despite its biases and choice of presentation, should be of interest for students and researchers who are interested in such a foundational view of the interactions of logic and probabilities." (Computing Reviews, June, 2017)
