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Derivation of Law of the Excluded Middle from call/cc
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%default total | |
postulate callCC : ((a -> Void) -> a) -> a | |
peirce : ((a -> b) -> a) -> a | |
peirce f = callCC (f . (void .)) | |
notExcludedMiddleImpliesExcludedMiddle : Not (Dec p) -> Dec p | |
notExcludedMiddleImpliesExcludedMiddle notExcludedMiddle = No (notExcludedMiddle . Yes) | |
excludedMiddle : Dec a | |
excludedMiddle = peirce notExcludedMiddleImpliesExcludedMiddle |
Author
JadenGeller
commented
Dec 8, 2017
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