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32 lines
1.2 KiB
32 lines
1.2 KiB
\item \self Let $x$ and $y$ be the symbolic representations of the sets $X$ and
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$Y$ respectively, and let $\alpha$ be the symbolic encoding of an
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element $a$. Consider the following operations and relations
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between $x$, $y$, and $\alpha$:
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\begin{enumerate}[A.]
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\item $x \rightarrow y$
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\item $\alpha \models x$ ?
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\item $x \wedge \neg y$
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\item $\alpha \nvDash y$ ?
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\item $x \equiv \bot$ ?
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\item $x \vee y$
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\end{enumerate}
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For each of the following items, state which of the above operations
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symbolically performs the respective set operation or answers the
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respective set-specific question. Write the letters of the
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corresponding operation/question into the boxes of the items below.
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Note that some of the items below do not correspond to any of the
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above operations or questions. Put a ``--'' in the box of these
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items.
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\begin{itemize}
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\item[\Huge{$\square$}] Union: $X \cup Y$
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\item[\Huge{$\square$}] Intersection: $X \cap Y$
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\item[\Huge{$\square$}] Set Difference: $X \setminus Y$
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\item[\Huge{$\square$}] Containment: $a \in X$?
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\item[\Huge{$\square$}] Subset: $X \subseteq Y$?
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\item[\Huge{$\square$}] Strict Subset: $X \subset Y$?
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\item[\Huge{$\square$}] Emptiness: $X=\emptyset$?
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\item[\Huge{$\square$}] Equality: $X=Y$?
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\end{itemize}
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