put down vs chalk up

put down and chalk up both are verbs.

Word	Noun	Adjective	Verb	Adverb
put down	No	No	Yes	No
chalk up	No	No	Yes	No

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

put down (verb)	chalk up (verb)
put down in writing; of texts, musical compositions, etc.	keep score, as in games
make a record of; set down in permanent form	accumulate, sometimes as a debt
put in a horizontal position
remove (cargo, people, etc.) from and leave
cause to sit or seat or be in a settled position or place
put (an animal) to death
reduce in worth or character, usually verbally
cause to come to the ground