self-rule vs home rule

self-rule and home rule both are nouns.

Word	Noun	Adjective	Verb	Adverb
self-rule	Yes	No	No	No
home rule	Yes	No	No	No

As nouns, home rule is a hyponym of self-rule; that is, home rule is a word with a more specific, narrower meaning than self-rule:

self-rule: government of a political unit by its own people
home rule: self-government in local matters by a city or county that is part of a national government

Other hyponyms of self-rule include sovereignty, local option.

self-rule (noun)	home rule (noun)
government of a political unit by its own people	self-government in local matters by a city or county that is part of a national government