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I know jargon looks unsurmountable at first, but if you pay close attention to definitions, they are usually extremely simple. To wit, the example you quote is just the set of strings on X.

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It's more than just strings though, it's all lists on a set of atoms. (a b c) is treated differently from (a (b c)).

EDIT: Actually you're right, it's all strings on X. I thought the author wanted all lists on X.

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