Kripke’s Worlds An Introduction to Modal Logics via Tableaux /

• Main Authors: Gasquet, Olivier (Author), Herzig, Andreas (Author), Said, Bilal (Author), Schwarzentruber, François (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Springer Basel : Imprint: Birkhäuser, 2014.
• Series: Studies in Universal Logic
• Subjects: Mathematics.; Mathematical logic.; Mathematical Logic and Foundations.; Mathematics, general.

Possible worlds models were introduced by Saul Kripke in the early 1960s. Basically, a possible worlds model is nothing but a graph with labelled nodes and labelled edges. Such graphs provide semantics for various modal logics (alethic, temporal, epistemic and doxastic, dynamic, deontic, description...

Table of Contents:

• Preface
• 1 Modelling things with graphs
• 2 Talking about graphs
• 3 The basics of the model construction method
• 4 Logics with simple constraints on models
• 5 Logics with transitive accessibility relations
• 6 Model Checking
• 7 Modal logics with transitive closure
• Bibliography
• Index.