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kokkos · May 18, 2023 · 8b3a04f · 8b3a04f
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diff --git a/docs/source/API/core/execution_spaces.rst b/docs/source/API/core/execution_spaces.rst
@@ -308,7 +308,7 @@ Functions
 
 * ``const char* name() const;``: *Returns* the label of the execution space instance.
 
-* ``bool is_running() const;``: *Returns* whether the execution space has completed all kernels submitted to it or if any of the kernels submitted are still running.
+* ``bool is_running() const;``: *Returns* ``true`` if the execution space is currently executing a kernel, otherwise returns ``false``. Therefore, if the function returns ``false``, all kernels submitted by the current thread have been completed.
 
 * ``bool in_parallel() const;``: *Returns* a value convertible to ``bool`` indicating whether the caller is executing as part of a Kokkos parallel pattern. *Note:* as currently implemented, there is no guarantee that ``true`` means the caller is necessarily executing as part of a pattern on the particular instance |ExecutionSpaceConcept|_; just *some* instance of |ExecutionSpaceConcept|_. This may be strengthened in the future.