Is there any epistemic modal logic in which the knowledge of a conjunction is not implied by the knowledge of its conjuncts, i.e.
$\Box A\wedge\Box B\not\Rightarrow\Box(A\wedge B)?$
Is there any epistemic modal logic in which the knowledge of a conjunction is not implied by the knowledge of its conjuncts, i.e.
$\Box A\wedge\Box B\not\Rightarrow\Box(A\wedge B)?$
The complexity theoretical aspect of some such logics is investigated in:
The paper also includes a reference to Vardi's '86 paper which apparently contains more on such logics (I have not read that one, though).