Probability Logics

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.

Presents applications of probability logics to real-world reasoning, including default reasoning, spatiotemporal reasoning, and measuring inconsistency Includes extensive bibliographies pointing to related work Useful reference for researchers using probability logic, and textbook for graduate courses in logic Includes supplementary material: sn.pub/extras

Inhalt

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.