docs(0.S): the doc fences migrated by ludic migrate state; LANGUAGE.md's state section says what the tool and the checker do now; no module-level var left in the docs

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

docs/language/scenes/kw-enter.md

@@ -16,11 +16,13 @@ program EnterHookExample {
   property Position { column: int = 0, row: int = 0 }
   model Player { Position }
 
-  var score: int = 0
+  state EnterHookExampleState {
+    score: int = 0
+  }
 
   scene Overworld start {
-    on enter {
-      score = 0
+    on enter (enter_hook_example_st: mut EnterHookExampleState) {
+      enter_hook_example_st.score = 0
       spawn Player { Position { column: 5, row: 5 } }
     }
     layer World {

docs/language/scenes/kw-layer.md

@@ -16,7 +16,7 @@ program LayerExample {
   property Position { column: int = 0, row: int = 0 }
   model Player { Position }
 
-  var score: int = 0
+  let score: int = 0
 
   scene Overworld start {
     on enter { spawn Player { Position { column: 6, row: 6 } } }

docs/language/scenes/kw-on.md

@@ -16,7 +16,9 @@ program SceneHookExample {
   property Position { column: int = 0, row: int = 0 }
   model Enemy { Position }
 
-  var elapsed_frames: int = 0
+  state SceneHookExampleState {
+    elapsed_frames: int = 0
+  }
 
   scene Overworld start {
     layer World {
@@ -31,8 +33,8 @@ program SceneHookExample {
   }
 
   scene Battle {
-    on enter {
-      elapsed_frames = 0
+    on enter (scene_hook_example_st: mut SceneHookExampleState) {
+      scene_hook_example_st.elapsed_frames = 0
       spawn Enemy { Position { column: 8, row: 4 } }
     }
     on exit {

docs/language/scenes/kw-scene.md

@@ -13,13 +13,15 @@ A `scene` is one of the mutually-exclusive states a game moves between — a tit
 
 ```ludic
 program SceneExample {
-  var elapsed_frames: int = 0
+  state SceneExampleState {
+    elapsed_frames: int = 0
+  }
 
   scene Title start {
-    on enter { elapsed_frames = 0 }
+    on enter (scene_example_st: mut SceneExampleState) { scene_example_st.elapsed_frames = 0 }
     layer Main {
-      handler WaitForStart phase Update {
-        elapsed_frames = elapsed_frames + 1
+      handler WaitForStart(scene_example_st: mut SceneExampleState) phase Update {
+        scene_example_st.elapsed_frames = scene_example_st.elapsed_frames + 1
         if Input.key() != 0 { become Overworld }
       }
       handler DrawTitle phase Render {
@@ -31,7 +33,7 @@ program SceneExample {
   }
 
   scene Overworld {
-    on enter { elapsed_frames = 0 }
+    on enter (scene_example_st: mut SceneExampleState) { scene_example_st.elapsed_frames = 0 }
     layer World {
       handler DrawWorld phase Render {
         Screen.clear(Color.MidnightBlue)