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I suspect you've been reading too much into the chosen name. I simply understand it as making local (to each step of inference rule) something that was global to the whole derivation -- the annoying upward dots describing hypothetical judgments, first presented page 4 of the PDF you link, and sometimes described as bracketing of hypotheses. It is clearly explained as such in the lecture notes. "Localization" is a fine name in this regard, and I would be surprised if it was related to the other uses you mention in other ways than coincidence. On Tue, Mar 3, 2015 at 12:06 AM, Gershom B <[email protected]> wrote: > [ The Types Forum, http://lists.seas.upenn.edu/mailman/listinfo/types-list > ] > > In the course notes for Automated Theorem Proving (2004) [1], Pfenning > describes the introduction of contexts in a Natural Deduction system as > "Localizing Hypotheses" (see section 2.3). I cannot find many other > examples of this terminology. Is this just a felicitous turn of phrase, or > is there literature that makes the connection explicit to familiar notions > of localization in, for example, algebraic, category-theoretic, or > topos-theoretic settings? > > [1] http://www.cs.cmu.edu/~fp/courses/atp/handouts/ch2-natded.pdf > > Thanks, > Gershom >
