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/annotations/annot-export.md

@@ -13,16 +13,18 @@ order: 3
 
 ```ludic
 program ScoreModule {
-  var running_total: int = 0
-
-  @export function add_points(amount: int) -> int {      # callable from a native host
-    running_total = running_total + amount
-    return running_total
+  state ScoreModuleState {
+    running_total: int = 0
   }
 
-  entry {
-    print(add_points(10))                           # 10
-    print(add_points(5))                            # 15
+  @export function add_points(score_module_st: mut ScoreModuleState, amount: int) -> int {      # callable from a native host
+    score_module_st.running_total = score_module_st.running_total + amount
+    return score_module_st.running_total
+  }
+
+  entry (score_module_st: mut ScoreModuleState) {
+    print(add_points(score_module_st, 10))                           # 10
+    print(add_points(score_module_st, 5))                            # 15
   }
 }
 ```

docs/language/annotations/annot-onstart.md

@@ -16,13 +16,15 @@ program BootHook {
   property Health { current: int = 0, maximum: int = 100 }
   model Player { Health }
 
-  var elapsed_frames: int = 0
-
-  @OnStart handler CreateWorld {                     # runs once at boot
-    spawn Player { Health { current: 100, maximum: 100 } }
-    elapsed_frames = 0
+  state BootHookState {
+    elapsed_frames: int = 0
   }
 
-  handler CountFrames phase Update { elapsed_frames = elapsed_frames + 1 }
+  @OnStart handler CreateWorld(boot_hook_st: mut BootHookState) {                     # runs once at boot
+    spawn Player { Health { current: 100, maximum: 100 } }
+    boot_hook_st.elapsed_frames = 0
+  }
+
+  handler CountFrames(boot_hook_st: mut BootHookState) phase Update { boot_hook_st.elapsed_frames = boot_hook_st.elapsed_frames + 1 }
 }
 ```