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 3if and only if
F
is true for the
behavior
s , s , s , ... N N+1 N+2for all
N > 0
.
The symbol []
also appears as an indivisible part of
the operator
[][A] vwhere
A
is an
action
and v
is a
state function.