diff --git a/source/diagnostics.tex b/source/diagnostics.tex
index 6d9ff60a47..7ff6612054 100644
--- a/source/diagnostics.tex
+++ b/source/diagnostics.tex
@@ -2447,10 +2447,13 @@
 The semantics of this function are \impldef{semantics of \tcode{breakpoint}}.
 
 \begin{note}
-When invoked, the execution of the program temporarily halts and execution is
-handed to the debugger until such a time as: The program is terminated by the
-debugger, or the debugger resumes execution of the program as if the function
-was not invoked.
+It is intended that, when invoked with a debugger present, the execution of the
+program temporarily halts and execution is handed to the debugger until the
+program is either terminated by the debugger or the debugger resumes execution
+of the program as if the function was not invoked. In particular, there is no
+intent for a call to this function to accomodate resumption of the program in a
+different manner. If there is no debugger present, execution of the program can
+end abnormally.
 \end{note}
 
 \end{itemdescr}
@@ -2491,12 +2494,13 @@
 \impldef{default semantics of \tcode{is_debugger_present}}.
 
 \begin{note}
-When tracing the execution of a program with a debugger, an implementation
-returns \tcode{true}. An implementation performs an immediate query, as needed,
-to determine if the program is traced by a debugger. On Windows or equivalent
-systems, this can be achieved by calling the \tcode{::IsDebuggerPresent()} Win32
-function. On POSIX, this can be achieved by checking for a tracer parent process,
-with best effort determination that such a tracer parent process is a debugger.
+It is intended that, using an immediate (uncached) query to determine if the
+program is being traced by a debugger, an implementation returns \tcode{true}
+only when tracing the execution of the program with a debugger. On Windows or
+equivalent systems, this can be achieved by calling the
+\tcode{::IsDebuggerPresent()} Win32 function. For systems compatible with
+ISO/IEC 23360:2021, this can be achieved by checking for a tracing process, with
+a best-effort determination that such a tracing process is a debugger.
 \end{note}
 
 \end{itemdescr}