diff --git a/lib/mcp/methods.rb b/lib/mcp/methods.rb
index 226f011..f30eaf2 100644
--- a/lib/mcp/methods.rb
+++ b/lib/mcp/methods.rb
@@ -23,6 +23,7 @@ module MCP
     SAMPLING_CREATE_MESSAGE = "sampling/createMessage"
 
     # Notification methods
+    NOTIFICATIONS_INITIALIZED = "notifications/initialized"
     NOTIFICATIONS_TOOLS_LIST_CHANGED = "notifications/tools/list_changed"
     NOTIFICATIONS_PROMPTS_LIST_CHANGED = "notifications/prompts/list_changed"
     NOTIFICATIONS_RESOURCES_LIST_CHANGED = "notifications/resources/list_changed"
@@ -48,21 +49,35 @@ module MCP
         case method
         when PROMPTS_GET, PROMPTS_LIST
           require_capability!(method, capabilities, :prompts)
-        when RESOURCES_LIST, RESOURCES_TEMPLATES_LIST, RESOURCES_READ, RESOURCES_SUBSCRIBE, RESOURCES_UNSUBSCRIBE
+        when NOTIFICATIONS_PROMPTS_LIST_CHANGED
+          require_capability!(method, capabilities, :prompts)
+          require_capability!(method, capabilities, :prompts, :listChanged)
+        when RESOURCES_LIST, RESOURCES_TEMPLATES_LIST, RESOURCES_READ
           require_capability!(method, capabilities, :resources)
-          if method == RESOURCES_SUBSCRIBE && !capabilities[:resources][:subscribe]
-            raise MissingRequiredCapabilityError.new(method, :resources_subscribe)
-          end
+        when NOTIFICATIONS_RESOURCES_LIST_CHANGED
+          require_capability!(method, capabilities, :resources)
+          require_capability!(method, capabilities, :resources, :listChanged)
+        when RESOURCES_SUBSCRIBE, RESOURCES_UNSUBSCRIBE, NOTIFICATIONS_RESOURCES_UPDATED
+          require_capability!(method, capabilities, :resources)
+          require_capability!(method, capabilities, :resources, :subscribe)
         when TOOLS_CALL, TOOLS_LIST
           require_capability!(method, capabilities, :tools)
-        when SAMPLING_CREATE_MESSAGE
-          require_capability!(method, capabilities, :sampling)
+        when NOTIFICATIONS_TOOLS_LIST_CHANGED
+          require_capability!(method, capabilities, :tools)
+          require_capability!(method, capabilities, :tools, :listChanged)
+        when LOGGING_SET_LEVEL, NOTIFICATIONS_MESSAGE
+          require_capability!(method, capabilities, :logging)
         when COMPLETION_COMPLETE
           require_capability!(method, capabilities, :completions)
-        when LOGGING_SET_LEVEL
-          require_capability!(method, capabilities, :logging)
-        when INITIALIZE, PING
-          # No specific capability required for initialize or ping
+        when ROOTS_LIST
+          require_capability!(method, capabilities, :roots)
+        when NOTIFICATIONS_ROOTS_LIST_CHANGED
+          require_capability!(method, capabilities, :roots)
+          require_capability!(method, capabilities, :roots, :listChanged)
+        when SAMPLING_CREATE_MESSAGE
+          require_capability!(method, capabilities, :sampling)
+        when INITIALIZE, PING, NOTIFICATIONS_INITIALIZED, NOTIFICATIONS_PROGRESS, NOTIFICATIONS_CANCELLED
+          # No specific capability required for initialize, ping, progress or cancelled
         end
       end
 
diff --git a/test/mcp/methods_test.rb b/test/mcp/methods_test.rb
index 17e99b8..d89981e 100644
--- a/test/mcp/methods_test.rb
+++ b/test/mcp/methods_test.rb
@@ -22,35 +22,62 @@ module MCP
       end
     end
 
-    # Tools capability tests
-    ensure_capability_raises_error_for Methods::TOOLS_LIST, required_capability_name: "tools"
-    ensure_capability_raises_error_for Methods::TOOLS_CALL, required_capability_name: "tools"
+    # Server methods and notifications
+    ensure_capability_does_not_raise_for Methods::INITIALIZE
 
-    # Sampling capability tests
-    ensure_capability_raises_error_for Methods::SAMPLING_CREATE_MESSAGE, required_capability_name: "sampling"
-
-    # Completions capability tests
-    ensure_capability_raises_error_for Methods::COMPLETION_COMPLETE, required_capability_name: "completions"
-
-    # Logging capability tests
-    ensure_capability_raises_error_for Methods::LOGGING_SET_LEVEL, required_capability_name: "logging"
-
-    # Prompts capability tests
-    ensure_capability_raises_error_for Methods::PROMPTS_GET, required_capability_name: "prompts"
     ensure_capability_raises_error_for Methods::PROMPTS_LIST, required_capability_name: "prompts"
+    ensure_capability_raises_error_for Methods::PROMPTS_GET, required_capability_name: "prompts"
+    ensure_capability_raises_error_for Methods::NOTIFICATIONS_PROMPTS_LIST_CHANGED, required_capability_name: "prompts"
+    ensure_capability_raises_error_for Methods::NOTIFICATIONS_PROMPTS_LIST_CHANGED,
+      required_capability_name: "prompts.listChanged",
+      capabilities: { prompts: {} }
 
-    # Resources capability tests
     ensure_capability_raises_error_for Methods::RESOURCES_LIST, required_capability_name: "resources"
-    ensure_capability_raises_error_for Methods::RESOURCES_TEMPLATES_LIST, required_capability_name: "resources"
     ensure_capability_raises_error_for Methods::RESOURCES_READ, required_capability_name: "resources"
-
-    # Resources subscribe capability tests
+    ensure_capability_raises_error_for Methods::RESOURCES_TEMPLATES_LIST, required_capability_name: "resources"
+    ensure_capability_raises_error_for Methods::NOTIFICATIONS_RESOURCES_LIST_CHANGED, required_capability_name: "resources"
+    ensure_capability_raises_error_for Methods::NOTIFICATIONS_RESOURCES_LIST_CHANGED,
+      required_capability_name: "resources.listChanged",
+      capabilities: { resources: {} }
+    ensure_capability_raises_error_for Methods::RESOURCES_SUBSCRIBE, required_capability_name: "resources"
     ensure_capability_raises_error_for Methods::RESOURCES_SUBSCRIBE,
-      required_capability_name: "resources_subscribe",
+      required_capability_name: "resources.subscribe",
+      capabilities: { resources: {} }
+    ensure_capability_raises_error_for Methods::RESOURCES_UNSUBSCRIBE, required_capability_name: "resources"
+    ensure_capability_raises_error_for Methods::RESOURCES_UNSUBSCRIBE,
+      required_capability_name: "resources.subscribe",
+      capabilities: { resources: {} }
+    ensure_capability_raises_error_for Methods::NOTIFICATIONS_RESOURCES_UPDATED, required_capability_name: "resources"
+    ensure_capability_raises_error_for Methods::NOTIFICATIONS_RESOURCES_UPDATED,
+      required_capability_name: "resources.subscribe",
       capabilities: { resources: {} }
 
-    # Methods that don't require capabilities
+    ensure_capability_raises_error_for Methods::TOOLS_LIST, required_capability_name: "tools"
+    ensure_capability_raises_error_for Methods::TOOLS_CALL, required_capability_name: "tools"
+    ensure_capability_raises_error_for Methods::NOTIFICATIONS_TOOLS_LIST_CHANGED, required_capability_name: "tools"
+    ensure_capability_raises_error_for Methods::NOTIFICATIONS_TOOLS_LIST_CHANGED,
+      required_capability_name: "tools.listChanged",
+      capabilities: { tools: {} }
+
+    ensure_capability_raises_error_for Methods::LOGGING_SET_LEVEL, required_capability_name: "logging"
+    ensure_capability_raises_error_for Methods::NOTIFICATIONS_MESSAGE, required_capability_name: "logging"
+
+    ensure_capability_raises_error_for Methods::COMPLETION_COMPLETE, required_capability_name: "completions"
+
+    # Client methods and notifications
+    ensure_capability_does_not_raise_for Methods::NOTIFICATIONS_INITIALIZED
+
+    ensure_capability_raises_error_for Methods::ROOTS_LIST, required_capability_name: "roots"
+    ensure_capability_raises_error_for Methods::NOTIFICATIONS_ROOTS_LIST_CHANGED, required_capability_name: "roots"
+    ensure_capability_raises_error_for Methods::NOTIFICATIONS_ROOTS_LIST_CHANGED,
+      required_capability_name: "roots.listChanged",
+      capabilities: { roots: {} }
+
+    ensure_capability_raises_error_for Methods::SAMPLING_CREATE_MESSAGE, required_capability_name: "sampling"
+
+    # Methods and notifications of both server and client
     ensure_capability_does_not_raise_for Methods::PING
-    ensure_capability_does_not_raise_for Methods::INITIALIZE
+    ensure_capability_does_not_raise_for Methods::NOTIFICATIONS_PROGRESS
+    ensure_capability_does_not_raise_for Methods::NOTIFICATIONS_CANCELLED
   end
 end
diff --git a/test/mcp/server_test.rb b/test/mcp/server_test.rb
index 6dc56ee..77cc6d3 100644
--- a/test/mcp/server_test.rb
+++ b/test/mcp/server_test.rb
@@ -635,7 +635,7 @@ module MCP
     test "#handle method with missing required nested capability returns an error" do
       @server.capabilities = { resources: {} }
       response = @server.handle({ jsonrpc: "2.0", method: "resources/subscribe", id: 1 })
-      assert_equal "Server does not support resources_subscribe (required for resources/subscribe)",
+      assert_equal "Server does not support resources.subscribe (required for resources/subscribe)",
         response[:error][:data]
     end