This bit needs editing, IMO: "in composed problems, there must be only one correct line of play". I see several issues:
For me it should go in another separate section. It's an interesting topic that merits more analysis. I believe there is some truth to the assertion "a criteria for deciding if a position merits to be considered a good tsumego is that there should only be one correct first move". This is rather different to the current version. I'd be interested on other people's thoughts about this.
I may get round to making some changes to this page myself at some point. can't do it today however.
Good question I think. Different times and places have different sets of conventions. Generally accepted conditions for modern composed tsumego in Japan are:
I've replaced "one correct line of play" with main line. I agree it's pretty ambiguous. In many "black to play" problems, there is no "correct" local reply by white, as in a real game, white would tenuki. But there's still the subjective notion of the "best" reply in terms of testing the solver's understanding of the position. I think this is what the main line page is trying to capture.
Feel free to edit the page some more if you can think of a better way to say it!