Jason (jcreed) wrote,

Good solid progress on research lately. Sitting down and working out a sufficiently general example revealed a lot about what variables are bound where, which helped me realize which things to hit with what substitutions, and from there hinted at what I now think is the right thing to induct on to glue together the two big pieces of machinery I've been trying to coax together.

It's gonna be one mofo of a mutual induction when I'm finished, I think, but I'm really quite optimistic about this tactic working. One of the three context zones in the main judgment has me a little mystified, however. I don't understand what it means, really. I just introduced it at one point to hold some variables that would have been free otherwise. I am compelled to hazily trust my intuition as to how to involve it in the proofs, but it seems to make everything go: it is the magic glue between the "outside world" and the variables of the unification problem.

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