Dual Tableaux: Foundations, Methodology, Case Studies (Trends in Logic, 33)

✍ Scribed by Ewa Orlowska, Joanna Golińska Pilarek

• Publisher: Springer
• Year: 2010
• Tongue: English
• Leaves: 517
• Category: Library

✦ Synopsis

This book presents logical foundations of dual tableaux together with a number of their applications both to logics traditionally dealt with in mathematics and philosophy (such as modal, intuitionistic, relevant, and many-valued logics) and to various applied theories of computational logic (such as temporal reasoning, spatial reasoning, fuzzy-set-based reasoning, rough-set-based reasoning, order-of magnitude reasoning, reasoning about programs, threshold logics, logics of conditional decisions). The distinguishing feature of most of these applications is that the corresponding dual tableaux are built in a relational language which provides useful means of presentation of the theories. In this way modularity of dual tableaux is ensured. We do not need to develop and implement each dual tableau from scratch, we should only extend the relational core common to many theories with the rules specific for a particular theory.

✦ Table of Contents

Dual Tableaux: Foundations, Methodology,
Case Studies
Preface
Contents
Part I Foundations
Part II Reasoning in Logics of Non-classical Algebras of Relations
Part III Relational Reasoning in Traditional Non-classical Logics
Part IV Relational Reasoning in Logics of Information and Data Analysis
Part V Relational Reasoning about Time, Space, and Action
Part VI Beyond Relational Theories
Part VII Conclusion
References
Index