Journal of Symbolic Logic 70 (1):223-234 (2005)

Several extensions of the basic modal language are characterized in terms of interpolation. Our main results are of the following form: Language ℒ' is the least expressive extension of ℒ with interpolation. For instance, let ℳ be the extension of the basic modal language with a difference operator [7]. First-order logic is the least expressive extension of ℳ with interpolation. These characterizations are subsequently used to derive new results about hybrid logic, relation algebra and the guarded fragment
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DOI 10.2178/jsl/1107298517
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Modal Logic with Names.George Gargov & Valentin Goranko - 1993 - Journal of Philosophical Logic 22 (6):607 - 636.

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Guards, Bounds, and Generalized Semantics.Johan van Benthem - 2005 - Journal of Logic, Language and Information 14 (3):263-279.
Guarded Fragments with Constants.Balder ten Cate & Massimo Franceschet - 2005 - Journal of Logic 14 (3):281-288.

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