Interpolation for Extended Modal Languages

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(D) be the extension of the basic modal language with a difference operator [7]. First-order logic is the least expressive extension of M(D) with interpolation. These characterizations are subsequently used to derive new results about hybrid logic, relation algebra and the guarded fragment.
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Melvin Fitting (2002). Interpolation for First Order S5. Journal of Symbolic Logic 67 (2):621-634.

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