hws/hw03.tex
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   157 
   158   Give a regular expression that can recognise the same language as
   158   Give a regular expression that can recognise the same language as
   159   this automaton. (Hint: If you use Brzozwski's method, you can assume
   159   this automaton. (Hint: If you use Brzozwski's method, you can assume
   160   Arden's lemma which states that an equation of the form $q = q\cdot r + s$
   160   Arden's lemma which states that an equation of the form $q = q\cdot r + s$
   161   has the unique solution $q = s \cdot r^*$.)
   161   has the unique solution $q = s \cdot r^*$.)
       
   162 
       
   163 \item If a non-deterministic finite automaton (NFA) has
       
   164 $n$ states. How many states does a deterministic 
       
   165 automaton (DFA) that can recognise the same language
       
   166 as the NFA maximal need?
       
   167 
   162 \end{enumerate}
   168 \end{enumerate}
   163 
   169 
   164 \end{document}
   170 \end{document}
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   171 
   166 %%% Local Variables: 
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