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"Gluing" in this sense is AFAIK my invention, I'll do writeup and likely publication at some point. I can give quick rundown here. Dep. elaboration has two core tasks: a) deciding conversion during checking b) solving metas.
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For a), we just need a fast evaluator for open functional programs, and we can borrow standard evaluators with minor modifications. The nbe evaluator is pretty close to GHC's eval-apply STG machine, difference is less optimizations and the presence of netural values.
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