Perhaps I misunderstand the sentence, but it seems to me that "one" boolean circuit possibly represents "one" compound signature. Similarly, "multiple" boolean circuits may represent "multiple" compound signatures.
Moreover, the following sentence starts:
The validation function for these compound signatures takes ...
I wonder whether I am over thinking this thing here ...
This seems more consistent this way.
Perhaps I misunderstand the sentence, but it seems to me that "one" boolean circuit possibly represents "one" compound signature. Similarly, "multiple" boolean circuits may represent "multiple" compound signatures.
Moreover, the following sentence starts:
I wonder whether I am over thinking this thing here ...