Modal frame correspondences and fixed-points

Studia Logica 83 (1-3):133-155 (2006)
Taking Löb's Axiom in modal provability logic as a running thread, we discuss some general methods for extending modal frame correspondences, mainly by adding fixed-point operators to modal languages as well as their correspondence languages. Our suggestions are backed up by some new results – while we also refer to relevant work by earlier authors. But our main aim is advertizing the perspective, showing how modal languages with fixed-point operators are a natural medium to work with.
Keywords Löb's Axiom  fixed-point  frame correspondence  modal μ-calculus
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DOI 10.1007/s11225-006-8301-9
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Johan van Benthem (2012). The Range of Modal Logic. Journal of Applied Non-Classical Logics 9 (2-3):407-442.

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