7 edition of **Many-dimensional modal logics** found in the catalog.

- 62 Want to read
- 25 Currently reading

Published
**2003**
by Elsevier North Holland in Amsterdam, Boston
.

Written in English

- Modality (Logic),
- Nonclassical mathematical logic

**Edition Notes**

Includes bibliographical references (p. 685-723) and indexes

Other titles | Many dimensional modal logics |

Statement | D.M. Gabbay ... [et al.] |

Series | Studies in logic and the foundations of mathematics -- v. 148 |

Contributions | Gabbay, Dov M., 1945- |

The Physical Object | |
---|---|

Pagination | xviii, 747 p. : |

Number of Pages | 747 |

ID Numbers | |

Open Library | OL17098442M |

ISBN 10 | 0444508260 |

The book is meant to serve two purposes. The first and more obvious one is to present state of the art results in algebraic research into residuated structures related to substructural logics. The second, less obvious but equally important, is to provide a reasonably gentle introduction to algebraic logic. At the beginning, the second objective is predominant. Thus, in the first few . Advances in Modal Logic is a bi-annual international conference and book series in Modal Logic. The aim of the conference series is to report on important new developments in pure and applied modal logic, and to do so at varying locations throughout the world. The book series is based on the conferences.

Contents 1 Introduction 1 I Lattices of intermediate logics 9 2 Algebraic semantics for intuitionistic logic 11 Intuitionistic logic and intermediate logics. (description logics, modal logics over non-boolean bases, dynamic logics and other process logics, epistemic and deontic logics, modal logics for agent-based systems, modal logic and game theory, modal logic and grammar formalisms, provability and interpretability logics, conditional logics, spatial and temporal logics, hybrid logic.

4. Asseciativity does not imply undecidability without the axiom of modal distribution (Viktor Gyuris). 5. Dynamic arrow logic (Maarten Marx). 6. Complete calculus for conjugated arrow logic (Szabolcs Mikul~ks). 7. Many-dimensional arrow structures: Arrow logics II (Dimiter Vakarelov). II. Multi-modal logic. 8. What is modal logic? (Maarten de. The product of modal logics is a many-dimensional modal logic (Gabbay et al. ; Marx & Venema ; Venema ). Within these models, formulas are now evaluated in pairs \((w_1, w_2)\), with each modality semantically interpreted in the standard way (but now with respect the new version of its matching relation):Author: Sonja Smets, Fernando Velázquez-Quesada.

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However, the nice computational properties can drastically change if we combine some of these formalisms into a many-dimensional system, say, to reason about knowledge bases developing in time or moving objects.

To study the computational behaviour of many-dimensional modal logics is the main aim of this by: To study the computational behaviour of many-dimensional modal logics is the main aim of this book. On the one hand, it is concerned with providing a solid mathematical foundation for this discipline, while on the other hand, it shows that many seemingly different applied many-dimensional systems (e.g., multi-agent systems, description logics.

To study the computational behaviour of many-dimensional modal logics is the main aim of this book. On the one hand, it is concerned with providing a solid mathematical foundation for this discipline, while on the other hand, it shows that many seemingly different applied many-dimensional systems (e.g., multi-agent systems, description logics.

To study the computational behaviour of many-dimensional modal logics is the main aim of this book. On the one hand, it is concerned with providing a solid mathematical foundation for this discipline, while on the other hand, it shows that many seemingly different applied many-dimensional systems (e.g., multi-agent systems, description logics Brand: Elsevier Science.

Get this from a library. Many-dimensional modal logics: theory and applications. [Dov M Gabbay;] -- Modal logics, originally conceived in philosophy, have recently found many applications in computer science, artificial intelligence, the foundations of mathematics, Many-dimensional modal logics book and other.

Rent or buy Many-Dimensional Modal Logics: Theory and Applications - Chapter 3 - Many-dimensional modal logics Pages Download PDF; II: Fusions and products. select article Chapter 4 - Fusions of modal logics. Book chapter Full text access Chapter 12 - Fragments of first-order dynamic and epistemic logics.

However, the nice computational properties can drastically change if we combine some of these formalisms into a many-dimensional system, say, to reason about knowledge bases developing in time or moving objects. To study the computational behaviour of many-dimensional modal logics is the main aim of this book.

Theorem If both L 1 and L 2 are multimodal logics having the finite model property, then their fusion L 1 ⊗ L 2 has the finite model property as well.

Actually, Theorem follows from the proof of Theoremsince the closure under finite disjoint unions is enough when we work with finite frames. So we concentrate on the proof of Theorem To simplify notation, we assume. Modal Logics for Parallelism, Orthogonality, and Affine Geometries.

Journal of Applied Non-Classical Logics, Vol. 12, Issue. p. ‘This book is undoubtedly going to be the definitive book on modal logic for years to come.’ Many-Dimensional Modal Logics: Theory and Applications, volume of Studies in Logic and the Cited by: Many-Dimensional Modal Logics: Theory and Applications, Kurucz, A., F.

Wolter, M. Zakharyaschev, Dov M. Gabbay, North Holland. Des milliers de livres avec la livraison chez vous en 1 jour ou en magasin avec -5% de réduction. Modal logic is a type of formal logic primarily developed in the s that extends classical propositional and predicate logic to include operators expressing modality.A modal—a word that expresses a modality—qualifies a statement.

For example, the statement "John is happy" might be qualified by saying that John is usually happy, in which case the term "usually" is. To study the computational behavior of many-dimensional modal logics is the main aim of this book. More precisely, as suggested by its title, our aim is twofold.

On the one hand, we are concerned with providing a solid mathematical foundation for the discipline characterized in (Blackburn et al. ) as.

Download Citation | Representable Cylindric Algebras and Many-Dimensional Modal Logics | The equationally expressible properties of the cylindrifications and the. Parts 0, 1 and 2, can be used as the basis of a one year graduate course in modal logic.

The material which they contain has been taught in such courses at Stanford since The remaining parts of the book contain more than enough material for a second course in modal logic.

The exercises supplement the text and are usually difficult. A multimodal logic is a modal logic that has more than one primitive modal find substantial applications in theoretical computer science.

A modal logic with n primitive unary modal operators, ∈ {, ,} is called an n-modal these operators and negation, one can always add modal operators defined as if and only if ¬ ¬. A many-dimensional approach to simulations in modal logic by Walter Cloete Many-dimensional modal logic Introduction In this chapter we introduce some basic tools of modal logic namely: modal is that frames can be used to Author: Walter Cloete.

Kurucz A. () Representable Cylindric Algebras and Many-Dimensional Modal Logics. In: Andréka H., Ferenczi M., Németi I. (eds) Cylindric-like Algebras and Algebraic Logic. Bolyai Society Mathematical Studies, vol Cited by: 4.

Many-Dimensional Modal Logics: Theory and Applications. Dov M. Gabbay (ed.) - - Elsevier North Holland. details Modal logics, originally conceived in philosophy, have recently found many applications in computer science, artificial intelligence, the foundations of mathematics, linguistics and other disciplines.

V ol. 7 () On the Mosaic Method for Many-Dimensional Modal Logics 41 If we are interested in logics where the ev aluation of atoms depends only on. Since the natural operations on transitions include composition and taking inverses, and a special transition is the ‘do-nothing’ or the identity transition, the logic of transitions–arrow logic–can be studied from two different perspectives, and by two (complementary) methodologies: modal logic and the algebra of relations.Conceived by Johan van Benthem and Yde Venema, arrow logic started as an attempt to give a general account of the logic of transitions.

The generality of the approach provided a wide application area ranging from philosophy to computer science. The book gives a comprehensive survey of logical.Algebraic logic is a subject in the interface between logic, algebra and geometry, it has strong connections with category theory and combinatorics.

Tarski’s quest for finding structure in logic leads to cylindric-like algebras as studied in this book, they are .