diff --git a/Doc/glossary.rst b/Doc/glossary.rst
index e601e8b3698410..9ce0357f1cb424 100644
--- a/Doc/glossary.rst
+++ b/Doc/glossary.rst
@@ -247,7 +247,7 @@ Glossary
       Fortran contiguous arrays, the first index varies the fastest.
 
    coroutine
-      Coroutines is a more generalized form of subroutines. Subroutines are
+      Coroutines are a more generalized form of subroutines. Subroutines are
       entered at one point and exited at another point.  Coroutines can be
       entered, exited, and resumed at many different points.  They can be
       implemented with the :keyword:`async def` statement.  See also
diff --git a/Doc/library/asyncio-task.rst b/Doc/library/asyncio-task.rst
index 9f55a3534a5e0c..155887a3ab3af9 100644
--- a/Doc/library/asyncio-task.rst
+++ b/Doc/library/asyncio-task.rst
@@ -212,6 +212,8 @@ Running an asyncio Program
 
 .. function:: run(coro, \*, debug=False)
 
+    Execute the :term:`coroutine` *coro* and return the result.
+
     This function runs the passed coroutine, taking care of
     managing the asyncio event loop, *finalizing asynchronous
     generators*, and closing the threadpool.
@@ -225,10 +227,6 @@ Running an asyncio Program
     the end.  It should be used as a main entry point for asyncio
     programs, and should ideally only be called once.
 
-    Return a result of *coro* execution, or raise a :exc:`RuntimeError`
-    if ``asyncio.run()`` is called from a running event loop, or a
-    :exc:`ValueError` if *coro* is not a courutine.
-
     Example::
 
         async def main():
diff --git a/Lib/asyncio/runners.py b/Lib/asyncio/runners.py
index 904102bf82bef4..03ce33300eba83 100644
--- a/Lib/asyncio/runners.py
+++ b/Lib/asyncio/runners.py
@@ -6,7 +6,7 @@
 
 
 def run(main, *, debug=False):
-    """Run a coroutine.
+    """Execute the coroutine and return the result.
 
     This function runs the passed coroutine, taking care of
     managing the asyncio event loop and finalizing asynchronous
@@ -21,10 +21,6 @@ def run(main, *, debug=False):
     It should be used as a main entry point for asyncio programs, and should
     ideally only be called once.
 
-    Return a result of *coro* execution, or raise a RuntimeError
-    if `asyncio.run()`is called from a running event loop, or a ValueError
-    if `main` is not a courutine.
-
     Example:
 
         async def main():