For any temporal formula F, the temporal formula []F asserts that F is always true.



More precisely, []F is true for a behavior

 
  s , s , s , ... 
   1   2   3
if and only if F is true for the behavior
  s , s   , s   , ...
   N   N+1   N+2
for all N > 0.



The symbol [] also appears as an indivisible part of the operator

  [][A]
       v
where A is an action and v is a state function.