Logical Equivalence

Two statements are said to be logically equivalent if they have the same truth values in all the applicable cases.

Let us see an example.

  1. Construct a truth table and prove that ~(~p) is logically equivalent to p.

img_20161205_212539

Thus, it is logically equivalent.

2. Construct a truth table and show that ~(p^q) is logically equivalent to ~pv~q.

img_20161205_212622

Thus, it is logically equivalent.

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