A fugue on the themes of awareness logic and correspondence
Elias C.G. Thijsse, Heinrich Wansing · Journal of Applied Non-Classical Logics · 1996
We consider certain objections against Fagin's and Halpern's logic of general awareness and interpret them as doubts whether there exists a correspondence theory for awareness logic with respect to sieve models. We present a non-compositional translation from epistemic formulas into first-order logic as the essential ingredient of such a correspondence theory and define a suitable notion of bisimulation. Moreover, in order to further underline the power of sieve models, we prove the Lewis system SI to be complete for a relational interpretation which is equivalent to the sieve model semantics.