Put up and Run up

Put up verb - To fix in an upright position.

Run up and put up are semantically related In some cases you can use "Run up" instead a verb "Put up".

Run up verb - Pile up (debts or scores).

Put up and run up are semantically related in erect topic. You can use "Put up" instead a verb "Run up", if it concerns topics such as build, raise, increase, lift.