Kripke's Worlds: An Introduction to Modal Logics via Tableaux

Kripke's Worlds: An Introduction to Modal Logics via Tableaux

2013-12-31 | ISBN: 3764385030 | PDF | 198 Pages | 3.05 MB

Possible worlds models were introduced by Saul Kripke in the early 1960s. Basically, a possible world's 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 logics) and also turned out useful for other nonclassical logics (intuitionistic, conditional, several paraconsistent and relevant logics). All these logics have been studied intensively in philosophical and mathematical logic and in computer science, and have been applied increasingly in domains such as program semantics, artificial intelligence, and more recently in the semantic web. Additionally, all these logics were also studied proof theoretically. The proof systems for modal logics come in various styles: Hilbert style, natural deduction, sequents, and resolution. However, it is fair to say that the most uniform and most successful such systems are tableaux systems. Given?logic and a formula, they allow one to check whether there is a model in that logic. This basically amounts to trying to build a model for the formula by building a tree. This book follows a more general approach by trying to build a graph, the advantage being that a graph is closer to a Kripke model than a tree. It provides a step-by-step introduction to possible worlds semantics (and by that to modal and other nonclassical logics) via the tableaux method. It is accompanied by a piece of software called LoTREC ( LoTREC allows to check whether a given formula is true at a given world of a given model and to check whether a given formula is satisfiable in a given logic. The latter can be done immediately if the tableau system for that logic has already been implemented in LoTREC. If this is not yet the case LoTREC offers the possibility to implement a tableau system in a relatively easy way via a simple, graph-based, interactive language.


[Fast Download] Kripke's Worlds: An Introduction to Modal Logics via Tableaux

Ebooks related to "Kripke's Worlds: An Introduction to Modal Logics via Tableaux" :
Neuromathematics of Vision
Analysis: From Concepts to Applications
Statistics, 3rd edition
The Inquisitive Problem Solver
Geometry of Characteristic Classes
Topics in Complex Analysis
Representations of Algebraic Groups
Nonlinear Science: The Challenge of Complex Systems
Approximately Calculus
Take It to Your Seat Math Centers, Grades 4-6 by Evan-Moor Educational Publishers
Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.