Anagramnalogy

I accidentally dropped a logic textbook into the fish tank before, which the fish have been reading. Now they have started communicating to me in puzzles. Unfortunately, I haven't read that book before, so you will have to solve it. The fish seem to be reminding me of something important... The answer to this puzzle contains an H.

AYD → GNITH

KEVAN → VEAN

SAAREC → MORAN

TAYOD → WOTROROM

SPICH → PRICSS

STHRASCIM → REET

YESDOYS → MEHOR

MNAABT → KROJE

THREACE → COHOLS

ONMO →

GNITHK →

ROCETASS →

TASP →

GRAULAU →

LELEWOHAN →

THEALM →

OREH →

FREPROSSO →

! + _

_ _ ! _ !

! _ _ E +

_ _ + _ _ ! _

R _ * ! _ +

_ _ M _ * ! _

_ ! ! _ * _ _ _ _ + _

! _ _ _ * _ !

_ _ ! _ _ _ _ _ _ +

Please send your name and answer with the title [ANAGRAMNALOGY-ANSWER] to puzzle.tangier@gmail.com.