petition vs postulation

petition and postulation both are nouns.

Word	Noun	Adjective	Verb	Adverb
petition	Yes	No	Yes	No
postulation	Yes	No	No	No

As nouns, petition and postulation are synonyms defined as:

petition and postulation: a formal message requesting something that is submitted to an authority

Other synonyms of petition include request.

petition (noun)	postulation (noun)
a formal message requesting something that is submitted to an authority	(logic) a declaration of something self-evident; something that can be assumed as the basis for argument
reverent petition to a deity	a formal message requesting something that is submitted to an authority

petition (verb)	postulation (verb)
write a petition for something to somebody; request formally and in writing