Alexander Chagrov, Michael Zakharyaschev

Modal Logic

• Gebundenes Buch

Produktbeschreibung

A specialist can use the book as a source of references. For the first time results and methods of many directions in propositional modal logic - from completeness and duality to algorithmic problems - are collected and systematically presented in one volume. Unlike other books, modal logic is treated here as a uniform theory rather than a collection of a few particular systems. It is the only book presenting the theory of superintuitionistic logics.

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For a novice this book is a mathematically-oriented introduction to modal logic, the discipline within mathematical logic studying mathematical models of reasoning which involve various kinds of modal operators. It starts with very fundamental concepts and gradually proceeds to the front line of current research, introducing in full details the modern semantic and algebraic apparatus and covering practically all classical results in the field. It contains both numerous exercises and open problems, and presupposes only minimal knowledge in mathematics. A specialist can use the book as a source of references. Results and methods of many directions in propositional modal logic, from completeness and duality to algorithmic problems, are collected and systematically presented in one volume.

Produktdetails

• Verlag: Oxford University Press, USA
• Seitenzahl: 620
• Erscheinungstermin: 19. Juni 1997
• Englisch
• Abmessung: 238mm x 159mm x 52mm
• Gewicht: 1063g
• ISBN-13: 9780198537793
• ISBN-10: 0198537794
• Artikelnr.: 22094883

Inhaltsangabe

Introduction
1.: Classical logic
2.: Intuitionistic logic
3.: Modal logics
4.: From logics to classes of logics
5.: Canonical models and filtration
6.: Incompleteness
7.: Algebraic semantics
8.: Relational semantics
9.: Canonical formulas
10.: Kripke completeness
11.: The finite approximability
12.: Tabularity
13.: Post completeness
14.: Interpolation
15.: The disjunction property and Halldén completeness
16.: The decidability of logics
17.: Admissibility and drivability of inference rules
18.: The decidability of logics' properties
19.: Complexity problems
Reference
Index