Our Meth8 logic model checker invalidates []( []A > A) = []A by proving only one model in five (Model 2.2 only)..
Here is the theorem output:
Test input as processed is: (#(#A>A)=#A)
FCNT is: False, Contingent, Non contingent, True. UIPE is: Unevaluated, Improper, Permissible, Evaluated.
#(#A>A)=#A
Model 1 Model 2.1 Model 2.2 Model 2.3.1 Model 2.3.2
CCTT CCTT CCTT CCTT UIPE UIPE UIPE UIPE EEEE EEEE EEEE EEEE PEPE PEPE PEPE PEPE IIEE IIEE IIEE IIEE