postulation vs petition

postulation and petition both are nouns.

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

As nouns, postulation and petition are synonyms defined as:

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

Other synonyms of postulation include request.

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

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