A new modal lindström theorem

Logica Universalis 1 (1):125-138 (2007)

Authors
Johan Van Benthem
University of Amsterdam
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.
Keywords Modal logic  abstract model theory  Lindström theorem  invariance theorem  interpolation  extended modal languages  guarded fragment
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DOI 10.1007/s11787-006-0006-3
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