really rename it MIU system

Logic/Language/Impl/MIU.hs

@@ -19,41 +19,41 @@ instance Language AlphaMIU where
 
   axiom0 = [[M, I]]
   infer1 =
-    [ mRule1
-    , mRule2
-    , mRule3
-    , mRule4
+    [ miuRule1
+    , miuRule2
+    , miuRule3
+    , miuRule4
     ]
 
 -- RULE I: If you possess a string whose last letter is I, you can add on a U at the end.
-mRule1 :: StringMIU -> [StringMIU]
-mRule1 [I] = [[I, U]]
-mRule1 (x:xs) = (x:) <$> mRule1 xs
-mRule1 _ = []
+miuRule1 :: StringMIU -> [StringMIU]
+miuRule1 [I] = [[I, U]]
+miuRule1 (x:xs) = (x:) <$> miuRule1 xs
+miuRule1 _ = []
 
 -- RULE II: Suppose you have Mx. Then you may add Mxx to your collection.
-mRule2 :: StringMIU -> [StringMIU]
-mRule2 string@(M:xs) = [string ++ xs]
-mRule2 _ = []
+miuRule2 :: StringMIU -> [StringMIU]
+miuRule2 string@(M:xs) = [string ++ xs]
+miuRule2 _ = []
 
 -- RULE III: If III occurs in one of the strings in your collection, you may
 -- make a new string with U in place of III.
-mRule3 :: StringMIU -> [StringMIU]
-mRule3 string@(M:xs) = (M:) <$> aux xs
+miuRule3 :: StringMIU -> [StringMIU]
+miuRule3 string@(M:xs) = (M:) <$> aux xs
   where
     aux (x@I:xs@(I:I:xs')) = (U:xs'):((x:) <$> aux xs)
     aux (x:xs) = (x:) <$> aux xs
     aux _  = []
-mRule3 _ = []
+miuRule3 _ = []
 
 -- RULE IV: If UU occurs inside one of your strings, you can drop it.
-mRule4 :: StringMIU -> [StringMIU]
-mRule4 string@(M:xs) = (M:) <$> aux xs
+miuRule4 :: StringMIU -> [StringMIU]
+miuRule4 string@(M:xs) = (M:) <$> aux xs
   where
     aux (x@U:xs@(U:xs')) = xs':((x:) <$> aux xs)
     aux (x:xs) = (x:) <$> aux xs
     aux _ = []
-mRule4 _ = []
+miuRule4 _ = []
 
 {-
 ghci> map ConcatShowList infer0 :: [ConcatShowList AlphaMIU]