Labelled Deduction Book

Labelled deduction is an approach to providing frameworks for presenting and using different logics in a uniform and natural way by enriching the language of a logic with additional information of a semantic proof-theoretical nature.
Labelled deduction systems often possess attractive properties, such as modularity in the way that families of related logics are presented, parameterised proofs of metatheoretic properties, and ease of mechanisability. It is thus not surprising that labelled deduction has been applied to problems in computer science, AI, mathematical logic, cognitive science, philosophy and computational linguistics - for example, formalizing and reasoning about dynamic `state oriented' properties such as knowledge, belief, time, space, and resources.

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Ten contributions on current research on an approach to providing frameworks for presenting and using different logics in a uniform and natural way by enriching the language of a logic with additional information of a semantic or proof theoretic nature. Labelled deduction system often possess properties such as modularity in the way that families of related logics are presented, parameterized proofs of metatheoretic properties, and ease of mechanizability. Specific topics include normal multimodal logics with interaction axioms, labelled tableaux for propositional linear time logic over finite frames, and semantics for temporal annotated constraint logic programming. Annotation c. Book News, Inc., Portland, OR (booknews.com)