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$\begingroup$ Herman Geuvers has also proven (here) that no possible encoding of the natural numbers can work. $\endgroup$

cody
– cody

2017-01-16 20:20:32 +00:00
Commented Jan 16, 2017 at 20:20
$\begingroup$ @cody Geuvers' result is for second-order dependent types. Is it obvious that it generalises to higher-order dependent types? $\endgroup$

Martin Berger
– Martin Berger

2017-01-17 12:58:29 +00:00
Commented Jan 17, 2017 at 12:58
1

$\begingroup$ It's not obvious, no. I do think the model construction outlined in the paper generalizes though, as it's based on a model originally developed for the full calculus. $\endgroup$

cody
– cody

2017-01-17 15:28:30 +00:00
Commented Jan 17, 2017 at 15:28

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