Each of the following words or group of words corresponds to one of the logical operations. Select the operation that corresponds to each of these words or group of words.

...but... ? ^ v ~ -> <->

...necessary and sufficient... ? <-> v -> ^ ~

...is necessary for... ? <-> v ~ -> ^

...if... ? ^ ~ v -> <->

...only if... ? <-> ~ v -> ^

All...are... ? ~ ^ <-> -> v

not... ? <-> ^ v ~ ->

...if and only if... ? ^ ~ <-> v ->

...and... ? -> ~ ^ v <->

If...then... ? <-> ~ ^ -> v

...or... ? -> ~ <-> v ^

Only... are... ? v <-> ^ ~ ->

All...and only... are ... ? -> <-> ^ v ~

No...is... ? -> ^ <-> ~ v

...is sufficient for... ? -> ^ ~ <-> v

(Note: In the pull down menus, some symbols appear differently. ~ is $\displaystyle \sim$ , ^ is $\displaystyle \wedge$ , v is $\displaystyle \vee$ , --> is $\displaystyle \rightarrow$ , and <--> is $\displaystyle \leftrightarrow$ )