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Intuitionistic modal logics with coreflection

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If you have a question about this talk, please contact Anupam Das.

The coreflection principle is the modal formula A → [] A. It does not have a meaningful classical interpretation, but in an intuitionistic setting it has applications in epistemic logic, provability logic and lax logic. I would like to zoom in to intuitionistic strong Löb logic (iSL) and intuitionistic Gödel-Löb logic (iGL, which is iSL without coreflection). I’ll discuss (terminating) sequent calculi and Kripke semantics.

Joint work with Rosalie Iemhoff.

=== Zoom details ===

https://bham-ac-uk.zoom.us/j/81873335084?pwd=T1NaUFg2U1l6d0RLL2RlTzFBam1IUT09

Passcode: 217 Meeting ID: 818 7333 5084

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