Probability Logics: Probability-Based Formalization of Uncertain Reasoning

✍ Scribed by Zoran Ognjanović, Miodrag Rašković, Zoran Marković (auth.)

Publisher: Springer International Publishing
Year: 2016
Tongue: English
Leaves: 223
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-xi
Introduction....Pages 1-17
History....Pages 19-76
(\mathbf {LPP_2}) , a Propositional Probability Logic Without Iterations of Probability Operators....Pages 77-108
Probability Logics with Iterations of Probability Operators....Pages 109-131
Extensions of the Probability Logics LPP (_2) and LFOP (_1) ....Pages 133-164
Some Applications of Probability Logics....Pages 165-185
Related Work....Pages 187-200
Back Matter....Pages 201-215

✦ Subjects

Mathematical Logic and Formal Languages;Artificial Intelligence (incl. Robotics);Logic;Mathematical Logic and Foundations

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