Is it permissable to run a 4 inch abs wasteline along a basement wall to get it to the vertical stack rather than run it under the slab?

The best way to do this is to ask the city to keep from getting yourself in trouble. A lot of things can go wrong, which Murphy's law would say- In most cities now, you must have a construction permit for altering anything on your property, inside, or out. There are not only local codes to go by, but, international ones as well. Be careful * If the City, County, Parish, or State code (if any) which has jurisdiction allows ABS within your structure, it IS permissable to run it along a basement wall to get to the vertical stack.