Modal Logic

TRAMA

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.

SOMMARIO

1. - Classical logic2. - Intuitionistic logic3. - Modal logics4. - From logics to classes of logics5. - Canonical models and filtration6. - Incompleteness7. - Algebraic semantics8. - Relational semantics9. - Canonical formulas10. - Kripke completeness11. - The finite approximability12. - Tabularity13. - Post completeness14. - Interpolation15. - The disjunction property and Halldén completeness16. - The decidability of logics17. - Admissibility and drivability of inference rules18. - The decidability of logics' properties19. - Complexity problems

ALTRE INFORMAZIONI

• Condizione: Nuovo
• ISBN: 9780198537793
• Collana: Oxford Logic Guides
• Dimensioni: 242 x 39.0 x 164 mm Ø 1066 gr
• Formato: Copertina rigida
• Illustration Notes: line figures, tables
• Pagine Arabe: 620