Modal Logic

ISBN-13: 9780521527149 / Angielski / Miękka / 2002 / 578 str.

Patrick Blackburn

Opis

This modern, advanced textbook reviews modal logic, a field which caught the attention of computer scientists in the late 1970's. The development is mathematical; prior acquaintance with first-order logic and its semantics is assumed, and familiarity with the basic mathematical notions of set theory is required. The authors focus on the use of modal languages as tools to analyze the properties of relational structures, including their algorithmic and algebraic aspects. Applications to issues in logic and computer science such as completeness, computability and complexity are considered.

Recenzje

'… this is an excellent book, targeting a broad audience including logicians, computer scientists, mathematicians and philosophers. It can serve very well both as a graduate textbook, taking a beginner with sufficient logical maturity and interest in the subject well into the expert level, and as a state-of-the-art reference on the main aspects, results, methods, and literature on contemporary modal logic for the experienced researchers. And, much of it can be read just for fun.' Studia Logica

Spis treści

1. Basic concepts; 2. Models; 3. Frames; 4. Completeness; 5. Algebras and general frames; 6. Computability and complexity; 7. Extended modal logic.