Overanalysing this perhaps, but they might need some philosophical tools.
Would it still be possible without Boolean Logic (1847)? Of course they'd have to realize that it applied. [1]
Earliest possible date they'd be successful might be post-Leibniz in the 1690's. [1]
Of course, there's an argument to be made that it'd not be possible before Alan Turing's work in 1935/1936-ish. On the other hand, in 1923 you'd already have most of the ideas that lead to Turing's insights.
Would it still be possible without Boolean Logic (1847)? Of course they'd have to realize that it applied. [1]
Earliest possible date they'd be successful might be post-Leibniz in the 1690's. [1]
Of course, there's an argument to be made that it'd not be possible before Alan Turing's work in 1935/1936-ish. On the other hand, in 1923 you'd already have most of the ideas that lead to Turing's insights.
[1] https://en.wikipedia.org/wiki/Boolean_algebra#History