Aye, but the L-system still fits given the amount of data shown in the question. So is the L-system incorrect, because there's no way to disambiguate the sequence given the data?
Your major problem would be finding an interviewer who knows what's an L-System
Edit: you should add the rule 111->31, so it may not be an l-system because there are infinite rules? (1111->41), etc
Or we limit it up to digit 9