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comparison agda/similar.agda @ 26:5ba82f107a95

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Define Similar in Agda
author Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
date Tue, 07 Oct 2014 14:43:33 +0900
parents
children 742e62fc63e4
comparison
equal deleted inserted replaced
25:a5aadebc084d 26:5ba82f107a95
1 open import list
2
3 module similar where
4
5 postulate String : Set
6 postulate show : {A : Set} -> A -> String
7
8 data Similar (A : Set) : Set where
9 similar : List String -> A -> List String -> A -> Similar A
10
11
12 fmap : {A B : Set} -> (A -> B) -> (Similar A) -> (Similar B)
13 fmap f (similar xs x ys y) = similar xs (f x) ys (f y)
14
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16 mu : {A : Set} -> Similar (Similar A) -> Similar A
17 mu (similar lx (similar llx x _ _) ly (similar _ _ lly y)) = similar (lx ++ llx) x (ly ++ lly) y
18
19 returnS : {A : Set} -> A -> Similar A
20 returnS x = similar [[ (show x) ]] x [[ (show x) ]] x
21
22 returnSS : {A : Set} -> A -> A -> Similar A
23 returnSS x y = similar [[ (show x) ]] x [[ (show y) ]] y
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