Sentence examples similar to back and forth equivalent from inspiring English sources
If A and B are back-and-forth equivalent, then certainly they are elementarily equivalent; but in fact back-and-forth equivalence turns out to be the same as elementary equivalence in an infinitary logic which is much more expressive than first-order logic.
The two structures A and B are said to be back-and-forth equivalent if Duplicator has a winning strategy for EF A, B), and m-equivalent if she has a winning strategy for EFm(A, B).
The back-and-forth continues for weeks.
There is back-and-forth on this.
It's a back-and-forth conversation.
And, as you might expect, there was all of the predictable back and forth -- the political equivalent of the school yard contretemps: "did not/did too".
A second group of I.B.M. scientists in Zurich were able to place two hydrogen atoms in an ultrathin insulating film and switch them back and forth between two states, creating the equivalent of the ones and zeroes used in standard chips.
It's social jetlag – the equivalent of flying back and forth from London to Moscow every week".
They speculated back and forth.
