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A New Modal Lindström Theorem

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Abstract.

We prove new Lindström theorems for the basic modal propositional language, and for some related fragments of first-order logic. We find difficulties with such results for modal languages without a finite-depth property, high-lighting the difference between abstract model theory for fragments and for extensions of first-order logic. In addition we discuss new connections with interpolation properties, and the modal invariance theorem.

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Correspondence to Johan van Benthem.

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Mathematics Subject Classification (2000): Primary 03B45; Secondary 03C95

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van Benthem, J. A New Modal Lindström Theorem. Log. univers. 1, 125–138 (2007). https://doi.org/10.1007/s11787-006-0006-3

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  • DOI: https://doi.org/10.1007/s11787-006-0006-3

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