diff --git a/set.scm b/set.scm
index 94a6e1d..2334c93 100644
--- a/set.scm
+++ b/set.scm
@@ -289,6 +289,30 @@
   (lambda (node)
     (cdr (set:get node '=))))
 
+(define map:update
+  (lambda (%update-recursive)
+    (lambda (tree key update)
+      (%update-recursive tree (map:empty-node key '())
+                         update))))
+
+(define map:insert
+  (lambda (%update-recursive)
+    (let ((insert (set:insert %update-recursive)))
+      (lambda (tree key val)
+        (insert tree (map:empty-node key val))))))
+
+(define map:search
+  (lambda (<=>)
+    (let ((search (set:in <=>)))
+      (lambda (tree key)
+        (search tree (cons key '()))))))
+
+(define map:delete
+  (lambda (<=>)
+    (let ((delete (set:delete <=>)))
+      (lambda (tree key)
+        (delete tree (map:empty-node key '()))))))
+
 ;;; ;;;;;;;;;;;
 ;;; For strings
 ;;; ;;;;;;;;;;;
@@ -309,37 +333,12 @@
         (list-set! (cdr lst) (- n 1) val)))))
 
 (define map:string<=> (set:<=>-to-map string<=>))
-
 (define %smap:update (set:update map:string<=>))
-(define %smap:insert (set:insert %smap:update))
 
-;;; (SMAP:UPDATE TREE KEY UPDATE) updates NODE in TREE with
-;;; (UPDATE NODE-WITH-KEY NODE), where NODE-WITH-KEY is an empty node
-;;; with the key KEY, and (UPDATE NODE-WITH-KEY #F) if no NODE is
-;;; found.
-(define smap:update
-  (lambda (tree key update)
-    (%smap:update tree (map:empty-node key '()) update)))
-
-;;; (SMAP:INSERT TREE KEY VAL) inserts (CONS KEY VAL) into TREE, and
-;;; returns (CONS NEWROOT FOUND), where NEWROOT is the new root of
-;;; the tree, and FOUND is #F if no element matching KEY was found,
-;;; or the matching element if found.
-(define smap:insert
-  (lambda (tree key val)
-    (%smap:insert tree (map:empty-node key val))))
-
-(define %smap:search (set:in map:string<=>))
-
-;;; (SMAP:SEARCH TREE KEY)
-(define smap:search
-  (lambda (tree key)
-    (%smap:search tree (cons key '()))))
-
-(define %smap:delete (set:delete map:string<=>))
-(define smap:delete
-  (lambda (tree key)
-    (%smap:delete tree (map:empty-node key '()))))
+(define smap:update (map:update %smap:update))
+(define smap:insert (map:insert %smap:update))
+(define smap:search (map:search  map:string<=>))
+(define smap:delete (map:delete map:string<=>))
 
 ;;; ;;;;;
 ;;; Tests