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Using truth tables, prove the following ...

Using truth tables, prove the following equivalences :
(1) `~pvvq-=~(p^^q)to[~pvv(~pvvq)]`
(2) `p""iffq-=(p^^q)vv(~p^^~q)`
(3) `(p^^q)tor-=pto(qtor)`

Text Solution

Verified by Experts


The entries in columns (4) and (8) are indentical.
`:.~pvvq-=~(pvvq)to[~pvv(~pvvq)]`

The entries in the columns (3) and (8) are identical.
`:.p""iffq-=(p^^q)vv(~p^^~q)`

The entries in columns (5) and (7) are identical.
`:.(p^^q)tor-=(qtor)`.
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