supplement vs increment

supplement and increment both are nouns.

Word	Noun	Adjective	Verb	Adverb
supplement	Yes	No	Yes	No
increment	Yes	No	No	No

As nouns, increment is a hypernym of supplement; that is, increment is a word with a broader meaning than supplement:

Other hypernyms of supplement include increase.

supplement (noun)	increment (noun)
a supplementary component that improves capability	the amount by which something increases
a quantity added (e.g. to make up for a deficiency)	a process of becoming larger or longer or more numerous or more important
textual matter that is added onto a publication; usually at the end

supplement (verb)	increment (verb)
add to the very end
add as a supplement to what seems insufficient
serve as a supplement to