put down vs lay

put down is not a noun while lay is a noun.

Word	Noun	Adjective	Verb	Adverb
put down	No	No	Yes	No
lay	Yes	Yes	Yes	No

As verbs, put down and lay are synonyms defined as:

Other synonyms of put down include repose.

As verbs, lay is a hypernym of put down; that is, lay is a word with a broader meaning than put down:

Other hypernyms of put down include place, pose, position, put, set.

As verbs, lay is a hyponym of put down; that is, lay is a word with a more specific, narrower meaning than put down:

Other hyponyms of put down include rail, blow, bury, entomb, inhume, inter, lay to rest, rebury.

As verbs, lay is a hypernym of put down; that is, lay is a word with a broader meaning than put down:

Other hypernyms of put down include place, pose, position, put, set.

put down (noun)	lay (noun)
	a narrative poem of popular origin
	a narrative song with a recurrent refrain

put down (adjective)	lay (adjective)
	not of or from a profession
	characteristic of those who are not members of the clergy

put down (verb)	lay (verb)
put down in writing; of texts, musical compositions, etc.	put in a horizontal position
make a record of; set down in permanent form	put into a certain place or abstract location
put in a horizontal position	lay eggs
remove (cargo, people, etc.) from and leave	prepare or position for action or operation
cause to sit or seat or be in a settled position or place	impose as a duty, burden, or punishment
put (an animal) to death
reduce in worth or character, usually verbally
cause to come to the ground