ice vs frost

ice and frost both are nouns.

Word	Noun	Adjective	Verb	Adverb
ice	Yes	No	Yes	No
frost	Yes	No	Yes	No

As nouns, frost is a hyponym of ice; that is, frost is a word with a more specific, narrower meaning than ice:

Other hyponyms of ice include black ice, hoar, hoarfrost, rime, hailstone, icicle, ground ice, segregated ice, Taber ice.

As verbs, ice and frost are synonyms defined as:

ice (noun)	frost (noun)
a rink with a floor of ice for ice hockey or ice skating	weather cold enough to cause freezing
an amphetamine derivative (trade name Methedrine) used in the form of a crystalline hydrochloride; used as a stimulant to the nervous system and as an appetite suppressant	the formation of frost or ice on a surface
a frozen dessert with fruit flavoring (especially one containing no milk)	ice crystals forming a white deposit (especially on objects outside)
a flavored sugar topping used to coat and decorate cakes
the frozen part of a body of water
diamonds
water frozen in the solid state

ice (verb)	frost (verb)
put ice on or put on ice	damage by frost
cause to become ice or icy	decorate with frosting
decorate with frosting	provide with a rough or speckled surface or appearance
	cover with frost