Proof Theory of Modal Logic

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Consisting of 15 research papers, this text deals with formal, mechanizable reasoning in modal logics. It brings together various directions in the development of generalized sequent-style proof systems. The first part contains papers which give a description of powerful proof-theoretic methods as applied to the normal modal logic S4. Part II is concerned with a number of generalizations of the standard proof-theoretic formats, while the third part presents new and important results on semantics-based proof systems for modal logic.