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Implement #Bool/induction in impredicative setoid encoding #25

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nponeccop opened this issue Mar 17, 2016 · 3 comments
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Implement #Bool/induction in impredicative setoid encoding #25

nponeccop opened this issue Mar 17, 2016 · 3 comments

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@nponeccop
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Basically, a function from proofs of P true and P false to a proof of forall x : Bool . P x

@nponeccop
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See http://nponeccop.livejournal.com/480539.html but there are questons

@zraffer zraffer self-assigned this Mar 17, 2016
@nponeccop nponeccop assigned nponeccop and unassigned zraffer Mar 19, 2016
@nponeccop nponeccop assigned zraffer and unassigned nponeccop Mar 29, 2016
@nponeccop nponeccop changed the title Implement #Bool/induction Implement #Bool/induction in impredicative setoid encoding Mar 29, 2016
@nponeccop
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It turned out that "normal" Bool eliminator is impossible. So this task becomes essentially the task of implementing the impredicative setoid-based encoding (which didn't exist before as a separate task).

Blocked by #30

@5HT
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5HT commented Jun 12, 2018

$ time (./om print type a "#Data/Bool/induc" , mode "posets" > /dev/null)

real 0m1.055s
user 0m0.962s
sys 0m0.291s

@5HT 5HT closed this as completed Jun 12, 2018
@5HT 5HT unassigned zraffer Jun 12, 2018
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3 participants