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.
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Now available in paperback, this popular graduate text on modal logic, a field which has caught the attention of computer scientists, economists and computational linguists. The book is both for novices and for more experienced readers, with two distinct tracks through the work, clearly signposted at the start of each chapter. The development is mathematical, with prerequisites clearly identified in the appendices. Theoretical concepts are clearly presented and applications to many issues in logic and computer science are emphasised. The work is a must for anyone interested in modal logic.
"This book is undoubtedly going to be the definative book on modal logic for years to come." Moshe Y. Vardi, Rice University
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