Logic says that..

Assumptions:
RN = Runny Nose,
AL = Allergic,
CNS= Cannot Stay,
X is a country.

Okay, let's do some logical deductions:
A. Simple
Given
(i) (RN in X) = (AL to X), [Runny nose in X means Allergic to X]
(ii) (AL to X) = (CNS in X) [Allergic to X means Cannot Stay in X]
thus (RN in X) = (CNS in X)

Therefore
if (RN in MY) = 1, then it means that "Cannot Stay in MY".
if (RN in MY) = 0, then it means that "NOT Cannot Stay in MY".


B. Propositional
Given
(RN in X) -> (AL to X) [if Runny nose in X is true, then Allergic to X]
(AL to X) -> (CNS in X) [if Allergic to X is true, then Cannot Stay in X]
thus (RN in X) -> (CNS in X)

Therefore,
if (RN in MY) is true, then it implies "Cannot Stay in MY"
if (RN in MY) is false, then it implies "NOT Cannot Stay in MY"


So in order to stay in MY, my nose has to stop running.. @:@