Logical Equivalence

Logical Equivalence

Two Statements are logically equivalent if they have the same Truth Table (column)

T F T
F T F

We can notice here that truth tables and are the same thing, so these are logically equivalent. We can write this as:

Demonstrating Logical Equivalence

De Morgan's Laws

De Morgan's Laws

The negation of a disjunction is logically equivalent to a conjunction or disjunction of negations, respectively. That is,

Truth Table

T T F F T F F
T F F T T F F
F T T F T F F
F F T T F T T