1)
Credit with is used when we credit some person for what he/she did.
Like in this case: She is credited with solving cases.
2)
Credit to is used when we talk about some attribute.
For example: The success of Joe in GMAT is credited to GMAT club.
3)
Credit for is used when we give credit for something in exchange.
For example: Joe received credit for all his hard work.
4)
Credit as is never correct.
_________________
Help me make my explanation better by providing a logical feedback.
If you liked the post, HIT KUDOS !!
Don't quit.............Do it.