Ahh, cool beans. Yeah, I think globals are stored as values in the internship report's one too, going off the repository. Part of my challenge has been figuring out how to do that with my current scheme, where I store things as values.
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I think one of the issues with how I'm shifting neutrals (by putting it as a shift on the var constructor) is that I don't know whether to either accumulate the shift, or forget about it. In the NbE rules given in the thesis they don't shift through variables.