demonstration vs show

demonstration and show both are nouns.

Word	Noun	Adjective	Verb	Adverb
demonstration	Yes	No	No	No
show	Yes	No	Yes	No

As nouns, show is a hypernym of demonstration; that is, show is a word with a broader meaning than demonstration:

demonstration: a show or display; the act of presenting something to sight or view
show: an act or social event involving a public performance or entertainment

As nouns, show is a hypernym of demonstration; that is, show is a word with a broader meaning than demonstration:

demonstration: a show of military force or preparedness
show: an act or social event involving a public performance or entertainment

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

Other hyponyms of demonstration include display, expression, manifestation, reflection, reflexion, exemplification, illustration.

demonstration (noun)	show (noun)
a show or display; the act of presenting something to sight or view	an act or social event involving a public performance or entertainment
a public display of group feelings (usually of a political nature)	pretending that something is the case in order to make a good impression
a show of military force or preparedness	something intended to communicate a particular impression
a visual presentation showing how something works
proof by a process of argument or a series of proposition proving an asserted conclusion

demonstration (verb)	show (verb)
	establish the validity of something, as by an example, explanation or experiment
	provide evidence for
	indicate a place, direction, person, or thing; either spatially or figuratively
	give expression to
	give evidence of, as of records
	indicate a certain reading; of gauges and instruments
	finish third or better in a horse or dog race
	show in, or as in, a picture
	take (someone) to their seats, as in theaters or auditoriums
	make visible or noticeable
	be or become visible or noticeable
	give an exhibition of to an interested audience