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Oct 25 at 16:48 vote accept Noah Schweber
Oct 24 at 16:11 history edited Noah Schweber CC BY-SA 4.0
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Oct 23 at 12:35 answer added Emil Jeřábek timeline score: 5
Oct 22 at 23:34 comment added Noah Schweber @cody Just literally the join of the reals coding them. Roughly, this is the binary sequence whose $2k$th bit is 1 iff the first structure satisfies the $k$th second-order sentence, and whose $2k+1$th bit is 1 iff the second structure satisfies the $k$th second-order sentence. (This isn't quite right because I actually want to look at second-order formulas being satisfied at tuples of elements, but meh.) So roughly, I'm asking about how being able to query each structure's second-order theory differs from being able to query the second-order theory of the "sum" of the structures.
Oct 22 at 22:05 comment added cody Non expert question: what is the "join" of two second-order theories?
Oct 22 at 17:52 history asked Noah Schweber CC BY-SA 4.0