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Modal Logic : Oxford Logic Guides - Alexander Chagrov

Hardcover Published: 1st February 1997
ISBN: 9780198537793
Number Of Pages: 624

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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 - `like it is necessary' in philosophy, `it is believed' in cognitive science, `it is provable' in mathematics and `it is true after executing a program' in computer science. It is an advanced text which starts with very fundamental concepts and gradually proceeds to the front line of current research, introducing in full details the modern semantical 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. 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.

`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.' Zentralblatt fuer Mathematik 871/97

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

ISBN: 9780198537793
ISBN-10: 0198537794
Series: Oxford Logic Guides
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 624
Published: 1st February 1997
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24  x 3.81
Weight (kg): 1.06