diff --git a/docs/OOP.md b/docs/OOP.md
index d5029ab..beaf8f2 100644
--- a/docs/OOP.md
+++ b/docs/OOP.md
@@ -1001,9 +1001,9 @@ Static fields can be accessed from static methods via the class qualifier:
     assertEquals("bar", Test.getData() )
     >>> void
 
-# Extending classes
+# Extension members
 
-It sometimes happen that the class is missing some particular functionality that can be _added to it_ without rewriting its inner logic and using its private state. In this case _extension members_ could be used.
+Sometimes an existing type or named singleton object is missing some particular functionality that can be _added to it_ without rewriting its inner logic and without using its private state. In this case, _extension members_ can be used.
 
 ## Extension methods
 
@@ -1028,6 +1028,36 @@ static fun List<T>.fill(size: Int, block: (Int)->T): List<T> { ... }
 val tens = List.fill(5) { it * 10 }
 ```
 
+## Extending singleton `object` declarations
+
+Named singleton objects can also be extension receivers. Use the object name as the receiver type:
+
+```lyng
+object Config {
+    fun base() = "cfg"
+}
+
+fun Config.describe(value) {
+    this.base() + ":" + value.toString()
+}
+
+val Config.tag get() = this.base() + ":tag"
+
+assertEquals("cfg:42", Config.describe(42))
+assertEquals("cfg:tag", Config.tag)
+```
+
+This differs from extending a class in one important way:
+
+- `fun Point.foo()` adds a member-like extension for all `Point` instances.
+- `fun Config.foo()` adds a member-like extension only for the single named object `Config`.
+
+The same rules still apply:
+
+- Extensions on singleton objects are scope-isolated just like class extensions.
+- They cannot access the object's `private` members.
+- Inside the extension body, `this` is the singleton object itself.
+
 ## Extension properties
 
 Just like methods, you can extend existing classes with properties. These can be defined using simple initialization (for `val` only) or with custom accessors.
diff --git a/docs/ai_language_reference.md b/docs/ai_language_reference.md
index 1190583..ec93767 100644
--- a/docs/ai_language_reference.md
+++ b/docs/ai_language_reference.md
@@ -116,6 +116,7 @@ Primary sources used: `lynglib/src/commonMain/kotlin/net/sergeych/lyng/{Parser,T
   - shorthand: `fun f(x) = expr`.
   - generics: `fun f<T>(x: T): T`.
   - extension functions: `fun Type.name(...) { ... }`.
+  - named singleton `object` declarations can be extension receivers too: `fun Config.describe(...) { ... }`, `val Config.tag get() = ...`.
   - static extension functions are callable on the type object: `static fun List<T>.fill(...)` -> `List.fill(...)`.
   - delegated callable: `fun f(...) by delegate`.
 - Type aliases: