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1 Introduction and Discussion; 2 Modal and Superintuitionistic Logics: Basic Concepts; 3 Superintuitionistic Logics and Normal Extensions of the Modal Logics S4; 4 The Interpolation Theorem in Intuitionistic Predicate Calculus; 5 Interpolation and Definability in Quantified Logics; 6 Craig’s Theorem in Superintuitionistic Logics and Amalgamable Varieties of Pseudoboolean Algebras; 7 Interpolation, Definability, Amalgamation; 8 Interpolation in Normal Extensions of the Modal Logic S4; 9 Complexity of Some Problems in Modal and Intuitionistic Calculi; 10 Interpolation in Modal Infinite Slice Logics Containing the Logic K4; 11 An Analog of Beth’s Theorem in Normal Extensions of the Modal Logic K4; 12 Extensions of the Provability Logic; 13 Syntactic Proof of Interpolation for the Intuitionistic Predicate Logic; 14 Interpolation by Translation; 15 Interpolation in (Intuitionistic) Logic Programming; 16 Interpolation in Goal-directed Proof Systems; 17 Further Results and Discussion; Appendix; References; Index

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