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Zusatztext This book presents a rich resource for modern mathematical modal logic! useful both as an advanced textbook and as a source for up-to-date results. Klappentext 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. Zusammenfassung This is a mathematically-oriented advanced textbook in modal logic, a discipline conceived in philosophy and having found applications in mathematics, artificial intelligence, linguistics, and computer science. It presents in a systematic and comprehensive way a wide range of classical and novel methods and results and can be used by a specialist as a reference book. Inhaltsverzeichnis 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 ...
