Logical implication
a.k.a. if, →
A boolean algebra expression such that a → b
is true
unless a
is true
and b
is false
.
Equivalent expression using basic operations:
(a ∧ b) ∨ ¬b
Truth Table
1 → 1 = 1
1 → 0 = 0
0 → 1 = 1
0 → 0 = 1
Plain English
This can be thought of as if a then b
. This statement is only broken (false
) when a
is true
and b
is false
.