Mercurial > hg > Members > atton > agda-proofs

annotate systemT/systemT.agda @ 1:fe247f476ecb

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Migrate systemT from atton/agda/systemT (13:5a81867278af)
author Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
date Sun, 02 Nov 2014 09:40:54 +0900
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fe247f476ecb Migrate systemT from atton/agda/systemT (13:5a81867278af)
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
parents:
diff changeset
1 module systemT where
fe247f476ecb Migrate systemT from atton/agda/systemT (13:5a81867278af)
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
parents:
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fe247f476ecb Migrate systemT from atton/agda/systemT (13:5a81867278af)
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
parents:
diff changeset
3 data Bool : Set where
fe247f476ecb Migrate systemT from atton/agda/systemT (13:5a81867278af)
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
parents:
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4 T : Bool
fe247f476ecb Migrate systemT from atton/agda/systemT (13:5a81867278af)
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
parents:
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5 F : Bool
fe247f476ecb Migrate systemT from atton/agda/systemT (13:5a81867278af)
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
parents:
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fe247f476ecb Migrate systemT from atton/agda/systemT (13:5a81867278af)
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
parents:
diff changeset
7 data Int : Set where
fe247f476ecb Migrate systemT from atton/agda/systemT (13:5a81867278af)
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
parents:
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8 O : Int
fe247f476ecb Migrate systemT from atton/agda/systemT (13:5a81867278af)
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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9 S : Int -> Int
fe247f476ecb Migrate systemT from atton/agda/systemT (13:5a81867278af)
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
parents:
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10
fe247f476ecb Migrate systemT from atton/agda/systemT (13:5a81867278af)
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
parents:
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11 R : {U : Set} -> U -> (U -> (Int -> U)) -> Int -> U
fe247f476ecb Migrate systemT from atton/agda/systemT (13:5a81867278af)
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
parents:
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12 R u v O = u
fe247f476ecb Migrate systemT from atton/agda/systemT (13:5a81867278af)
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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13 R u v (S t) = v (R u v t) t
fe247f476ecb Migrate systemT from atton/agda/systemT (13:5a81867278af)
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
parents:
diff changeset
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fe247f476ecb Migrate systemT from atton/agda/systemT (13:5a81867278af)
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
parents:
diff changeset
15 D : {U : Set} -> U -> U -> Bool -> U
fe247f476ecb Migrate systemT from atton/agda/systemT (13:5a81867278af)
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
parents:
diff changeset
16 D u v F = v
fe247f476ecb Migrate systemT from atton/agda/systemT (13:5a81867278af)
Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
parents:
diff changeset
17 D u v T = u