Dynamic Logics of Evidence-Based Beliefs
Johan van Benthem, Eric Pacuit

Abstract:
This paper adds evidence structure to standard models of belief, in
the form of families of sets. We show how these more fine-grained
models support natural actions of ``evidence management'', ranging
from update with external new information to internal rearrangement.
We show how this perspective leads to new richer languages for
existing neighborhood semantics for modal logic. Our main results are
relative completeness theorems for this dynamic logic of evidence.