Reactive Kripke Semantics

This book opens with a lucid explanation of the theory of reactive Kripke semantics, followed by chapters demonstrating applications in a variety of areas. The book benefits both researchers and graduate students working in the field of mathematical logic.

This text offers an extension to the traditional Kripke semantics for non-classical logics by adding the notion of reactivity. Reactive Kripke models change their accessibility relation as we progress in the evaluation process of formulas in the model. This feature makes the reactive Kripke semantics strictly stronger and more applicable than the traditional one. Here we investigate the properties and axiomatisations of this new and most effective semantics, and we offer a wide landscape of applications of the idea of reactivity. Applied topics include reactive automata, reactive grammars, reactive products, reactive deontic logic and reactive preferential structures.

Reactive Kripke semantics is the next step in the evolution of possible world semantics for non-classical logics, and this book, written by one of the leading authorities in the field, is essential reading for graduate students and researchers in applied logic, and it offers many research opportunities forPhD students.

First consolidated monograph on reactive Kripke semantics Suitable for researchers in mathematical logic First presents detailed theory of reactive Kripke semantics then applications in a variety of areas

Auteur
The author is one of the foremost authorities on nonclassical logics and their applications in computing.

Contenu
Chap.1 - A Theory of Hypermodal Logics.- Chap.2 - Introducing Reactive Kripke Semantics and Arc Accessibility.- Chap.3 - Introducing Reactive Modal Tableaux.- Chap.4 - Reactive Intuitionistic Tableaux.- Chap.5 - Completeness Theorems for Reactive Modal Logics.- Chap.6 - Modal Logics of Reactive Frames.- Chap.7 - Global View on Reactivity: Switch Graphs and their Logics.- Chap.8 - Reactive Automata.- Chap.9 - Reactivity and Grammars: An Exploration.- Chap.10 - Reactive Flow Products.- Chap.11 - Reactive Standard Deontic Logic.- Chap.12 - Reactive Preferential Structures and Nonmonotonic Consequence.- References.- Index.