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Rational Reasoning with Finite Conditional Knowledge Bases

Theoretical and Implementational Aspects

  • Christian Eichhorn

Table of contents

  1. Front Matter
    Pages I-XXVIII
  2. Christian Eichhorn
    Pages 1-13
  3. Christian Eichhorn
    Pages 15-36
  4. Christian Eichhorn
    Pages 37-76
  5. Christian Eichhorn
    Pages 77-132
  6. Christian Eichhorn
    Pages 133-157
  7. Christian Eichhorn
    Pages 159-167
  8. Christian Eichhorn
    Pages 291-293
  9. Back Matter
    Pages 295-365

About this book

Introduction

Nonmonotonic reasoning is a discipline of computer science, epistemology, and cognition: It models inferences where classical logic is inadequate in symbolic AI, defines normative models for reasoning with defeasible information in epistemology, and models human reasoning under information change in cognition. Its building blocks are defeasible rules formalised as DeFinetti conditionals. In this thesis, Christian Eichhorn examines qualitative and semi-quantitative inference relations on top said conditionals, using the conditional structure of the knowledge base and Spohn’s Ordinal Conditional Functions, using established properties. Converting network approaches from probabilistics, he shows how to approach the relations with regard to implementation.

Contents
  • Properties of Nonmonotonic Reasoning
  • Reasoning with Sets of c-Representations
  • Network Approaches to Ordinal Conditional Functions
  • Formal Inferences and Commonsense Reasoning: Connections to Psychology and Cognition
Target Groups
  • Academics and students of computer science, cognitive science and theoretical philosophy
  • Information scientists and experimental psychologists
The Author
Christian Eichhorn received his doctorate from the Computer Science Department at the Technical University, Dortmund.  His research was supported by the interdisciplinary Priority Programme SPP1516 „New Frameworks of Rationality” of the Deutsche Forschungsgemeinschaft.

Keywords

nonmonotonic reasoning conditionals Ordinal Conditional Functions inductive reasoning knowledge representation and reasoning commonsense reasoning c-representations formal inference symbolic AI Artificial Intelligence trivalent DeFinetti conditionals inference relations qualitative rational reasoning

Authors and affiliations

  • Christian Eichhorn
    • 1
  1. 1.IserlohnGermany

Bibliographic information