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\newcommand{\Implies}{\mbox{ IMPLIES }}
\newcommand{\Or}{\mbox{ OR }}
\newcommand{\AND}{\mbox{ AND }}
\newcommand{\Not}{\mbox{NOT}}
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\def\reals{{\mathbb R}}
\def\ints{{\mathbb Z}}
\def\nats{{\mathbb N}}
\begin{document}
\begin{center}
{\bf \Large \bf CSC240 Winter 2021 Midterm Assessment Question 1}\\
YOUR NAME and STUDENT NUMBER
\end{center}
\medskip
\begin{enumerate}\item
\begin{question}
(8 marks)
Consider the predicate
$$(\forall x \in D.[R(x) \Iff \forall y \in D.A(x,y)]) \Implies \forall y \in D. (R(y) \Implies A(x,y)).$$
\end{question}
\begin{enumerate}
\item
\begin{question}
Give an interpretation with $D=\{1,2\}$ that makes this predicate true. Justify your answer.
\end{question}
\begin{solution}
{\bf Solution}:
\end{solution}
\item
\begin{question}
Give an interpretation with $D=\{1,2\}$ that makes this predicate false. Justify your answer.
\end{question}
\begin{solution}
{\bf Solution}:
\end{solution}
\end{enumerate}
\end{enumerate}
\end{document}