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%========================================================================
\noindent\framebox[\linewidth]{\shortstack[c]{
\Large{\textbf{Lab09-Predicate Logic}}\vspace{1mm}\\
CS101-�������ѧ���ۿκ���ҵ����ʦ�������h��2016 �＾ѧ��}}
%\vspace{1mm}
\begin{center}
\footnotesize{\color{red}$*$ �ɴ�ӡ��ҳֱ����ҳ������/��ֽװ������ע����\quad ������\_\_\_\_\_\_\_\_\_\_\_\_ \quad ѧ�ţ�\_\_\_\_\_\_\_\_\_\_\_ \quad �༶��\_\_\_\_\_\_}

\footnotesize{\color{blue}$*$ ���Ӱ���ҵ��ֱ���ϴ����γ���վ}
\end{center}

\begin{enumerate}
\item �����������Ż�:
  \begin{enumerate}
    \item ��ƽ����������, ����ֻ��һ��ֱ��ͨ����
    \item �������������, ��Щͬѧ��ȥ��ɽ��
  \end{enumerate}

  \item ��$P(x)$��$Q(x)$��$R(x)$�ֱ�Ϊ��䡰$x$�ǽ��ڡ�����$x$��֪���͡�$x$�����١��������ʡ��߼����Ӵʺ�$P(x)$��$Q(x)$��$R(x)$��ʾ������䡣
      �ٶ������������˵ļ��ϡ�
  \begin{enumerate}
    \item û����֪�Ľ��ڡ�
    \item ������֪�߾������١�
    \item û�а����ٵĽ��ڡ�
  \end{enumerate}

\item ��������$\emph{I}$���£�
  \begin{enumerate}
    \item[(1)] ������Ϊ$D=\{-2,3,6\}$;
    \item[(2)] $F(x)$��ʾ��$x \leq3$����$G(x)$��ʾ��$x>5$����$R(x)$��ʾ��$x\leq 7$����
  \end{enumerate}
  �ڽ���$\emph{I}$�£������и�ʽ����ֵ��
  \begin{enumerate}
    \item $\forall x(F(x)\wedge G(x))$.
    \item $\forall x( R(x) \rightarrow F(x))\vee G(5)$.
    \item $\exists x(F(x)\vee G(x))$.
  \end{enumerate}


\item ֤��$\exists xP(x) \wedge \exists xQ(x)$ ��$\exists x(P(x)\wedge Q(x))$ �����߼��ȼ۵ġ�


\end{enumerate}
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