--- a/hws/hw05.tex Mon Oct 21 15:02:54 2013 +0100
+++ b/hws/hw05.tex Tue Oct 22 23:17:53 2013 +0100
@@ -105,9 +105,17 @@
this automaton. (Hint: If you use Brzozwski's method, you can assume
Arden's lemma which states that an equation of the form $q = q\cdot r + s$
has the unique solution $q = s \cdot r^*$.)\
+
+\item Recall the definitions for $Der$ and $der$ from the lectures.
+Prove by induction on $r$ the property that
+
+\[
+L(der\,c\,r) = Der\,c\,(L(r))
+\]
+
+holds.
\end{enumerate}
-
\end{document}
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