The technology disclosed relates to computer-implemented conversational agents and particularly to detecting a point in the dialog (end of turn, or end of utterance) at which the agent can start responding to the user. The technology disclosed provides a method of incrementally parsing an input utterance with multiple parses operating in parallel. The technology disclosed includes detecting an interjection point in the input utterance when a pause exceeds a high threshold, or detecting an interjection point in the input utterance when a pause exceeds a low threshold and at least one of the parallel parses is determined to be interruptible by matching a complete sentence according to the grammar. The conversational agents start responding to the user at a detected interjection point.