diff --git a/docs/standard/index.rst b/docs/standard/index.rst
index 8dc3fcbe..e0c3733a 100644
--- a/docs/standard/index.rst
+++ b/docs/standard/index.rst
@@ -17,9 +17,8 @@ this enables the Developers Italia crawler to build the `national software
catalog `__. The standard is also used at
`opencode.de `__, the German registry of open source for
public administration. ``publiccode.yml`` is designed to be
-interoperable internationally, thus the country-specific keys are separated by
-the core part and are defined in specific sections that each government can
-rule.
+interoperable internationally, also through country-specific keys defined in
+dedicated sections that each government can regulate.
Details carried by a ``publiccode.yml`` file include:
diff --git a/docs/standard/schema.core.rst b/docs/standard/schema.core.rst
index a563c36c..dcbcbc3c 100644
--- a/docs/standard/schema.core.rst
+++ b/docs/standard/schema.core.rst
@@ -1,7 +1,7 @@
.. _core:
-The Standard (core)
-===================
+The Standard
+============
This document represents the description of the ``publiccode.yml``
schema.