parseLambda :: Parser Term
parseLambda = do
char '\\'
- (Var x) <- parseVar
+ vars <- sepBy1 parseVar (char ' ')
char '.'
t <- parseTerm
- return $! Lambda x t
+ return $! createLambda vars t
+
+createLambda :: [Term] -> Term -> Term
+createLambda (Var x : vs) t = Lambda x $ createLambda vs t
+createLambda [] t = t
+createLambda _ _ = error "createLambda failed"
parseApp :: Parser Term
parseApp = do
+ aps <- sepBy1 (parseBraces <|> parseLambda <|> parseVar) (char ' ')
+ return $! createApp aps
+
+createApp :: [Term] -> Term
+createApp [t] = t
+createApp (t:ts:tss) = createApp (App t ts : tss)
+createApp [] = error "empty createApp"
+
+parseBraces :: Parser Term
+parseBraces = do
char '('
t <- parseTerm
- char ' '
- r <- parseTerm
char ')'
- return $! App t r
+ return t
parseTerm :: Parser Term
-parseTerm = parseVar <|> parseLambda <|> parseApp
+parseTerm = parseApp <|>
+ parseBraces <|>
+ parseLambda <|>
+ parseVar
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