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Jun 9, 2022 at 22:05 comment added Jason Hu @ŁukaszLew i am not sure if it's my browser but the link is horribly unreadable. everything is in its veery raw latex form.
Mar 23, 2021 at 18:27 comment added Łukasz Lew fplab.bitbucket.io/posts/2012-12-06-induction-recursion.html by Venanzio Capretta
Jun 8, 2018 at 4:08 comment added Łukasz Lew @cody Unfortunately, the link does not work any more. Are you able to find this content again? Are you aware of new publications in the area of formalizing impredicativity?
Oct 24, 2015 at 4:29 vote accept Max New
Oct 22, 2015 at 14:49 comment added cody I should add though, that induction recursion is known to be weaker than impredicative quantification in certain cases, as is nicely explained here: fplab.bitbucket.org/posts/2012-12-06-induction-recursion.html
Oct 20, 2015 at 19:41 comment added cody @MaxNew: This is actually quite difficult to find a citation for. The closest I can find is The Strength of Some Martin-Löf Type Theories which definitely settles the question for a predicative theory with a single universe and some kind of induction. But Agda has the terrifying induction recursion which makes it vastly more powerful.
Oct 20, 2015 at 18:09 comment added Max New Wow, really? You can't prove System F normalizes in Agda? Do you have a citation for that?
Oct 20, 2015 at 16:02 history answered cody CC BY-SA 3.0