"Stop on" is a phrase that is commonly used to denote halting or pausing at a particular point. However, there are several synonyms that can be used in place of "stop on," depending on the context and the degree of force with which the action of halting is being conveyed. Some of the most commonly used synonyms for "stop on" include terminate, conclude, finish, end, abort, halt, interrupt, curb, and arrest. Each of these words has its own unique connotations and implications, and can be used to convey a different sense of urgency, finality, or abruptness, depending on the context.