cutter vs carver

cutter and carver both are nouns.

Word	Noun	Adjective	Verb	Adverb
cutter	Yes	No	No	No
carver	Yes	No	No	No

As nouns, cutter and carver are synonyms defined as:

cutter (noun)	carver (noun)
a cutting implement; a tool for cutting	an artist who creates sculptures
a boat for communication between ship and shore	someone who carves the meat
a sailing vessel with a single mast set further back than the mast of a sloop	makes decorative wooden panels
someone whose work is cutting (as e.g. cutting cloth for garments)
someone who carves the meat
someone who cuts or carves stone