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  • © 2016

Probability Logics

Probability-Based Formalization of Uncertain Reasoning

  • 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

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xi
  2. Introduction

    • Zoran Ognjanović, Miodrag Rašković, Zoran Marković
    Pages 1-17
  3. History

    • Zoran Ognjanović, Miodrag Rašković, Zoran Marković
    Pages 19-76
  4. \(\mathbf {LPP_2}\), a Propositional Probability Logic Without Iterations of Probability Operators

    • Zoran Ognjanović, Miodrag Rašković, Zoran Marković
    Pages 77-108
  5. Probability Logics with Iterations of Probability Operators

    • Zoran Ognjanović, Miodrag Rašković, Zoran Marković
    Pages 109-131
  6. Extensions of the Probability Logics LPP\(_2\) and LFOP\(_1\)

    • Zoran Ognjanović, Miodrag Rašković, Zoran Marković
    Pages 133-164
  7. Some Applications of Probability Logics

    • Zoran Ognjanović, Miodrag Rašković, Zoran Marković
    Pages 165-185
  8. Related Work

    • Zoran Ognjanović, Miodrag Rašković, Zoran Marković
    Pages 187-200
  9. Erratum to: Extensions of the Probability Logics LPP2 and LFOP1

    • Aleksandar Perović, Dragan Doder, Nebojša Ikodinović, Angelina Ilić Stepić
    Pages E1-E1
  10. Back Matter

    Pages 201-215

About this book

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. 

Reviews

“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)

Authors and Affiliations

  • Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade, Serbia

    Zoran Ognjanović, Miodrag Rašković, Zoran Marković

Bibliographic Information

  • Book Title: Probability Logics

  • Book Subtitle: Probability-Based Formalization of Uncertain Reasoning

  • Authors: Zoran Ognjanović, Miodrag Rašković, Zoran Marković

  • DOI: https://doi.org/10.1007/978-3-319-47012-2

  • Publisher: Springer Cham

  • eBook Packages: Computer Science, Computer Science (R0)

  • Copyright Information: Springer International Publishing AG 2016

  • Hardcover ISBN: 978-3-319-47011-5Published: 01 November 2016

  • Softcover ISBN: 978-3-319-83637-9Published: 29 June 2018

  • eBook ISBN: 978-3-319-47012-2Published: 24 October 2016

  • Edition Number: 1

  • Number of Pages: XI, 215

  • Number of Illustrations: 5 b/w illustrations

  • Topics: Mathematical Logic and Formal Languages, Artificial Intelligence, Logic, Mathematical Logic and Foundations

Buy it now

Buying options

eBook USD 109.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 139.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 139.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access