Give up and Lay by

Give up verb - To give (something) over to the control or possession of another usually under duress.

Lay by and give up are semantically related In some cases you can use "Lay by" instead a verb "Give up".

Lay by verb - To get rid of as useless or unwanted.

Give up and lay by are semantically related in stop doing topic. Sometimes you can use "Give up" instead a verb "Lay by".