Modal logic
著者
書誌事項
Modal logic
（Cambridge tracts in theoretical computer science, 53）
Cambridge University Press, 2001
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注記
Includes bibliographical references (p. 524-543) and index
内容説明・目次
内容説明
This is an advanced 2001 textbook on modal logic, a field which caught the attention of computer scientists in the late 1970s. Researchers in areas ranging from economics to computational linguistics have since realised its worth. The book is for novices and for more experienced readers, with two distinct tracks clearly signposted at the start of each chapter. 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, and applications to issues in logic and computer science such as completeness, computability and complexity are considered. Three appendices supply basic background information and numerous exercises are provided. Ideal for anyone wanting to learn modern modal logic.
目次
- 1. Basic concepts
- 2. Models
- 3. Frames
- 4. Completeness
- 5. Algebras and general frames
- 6. Computability and complexity
- 7. Extended modal logic.
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