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58 lines
1.1 KiB
58 lines
1.1 KiB
\begin{tikzpicture}[every tree node/.style={draw,circle},sibling distance=.25cm]
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\Tree
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[.$\exists x$
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[.$\forall y$
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[.$\imp$
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[.$P$ $x$ $y$ ]
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[.$\lor$
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[.$Q$ $x$ $y$ ]
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[.$R$ $x$ $y$ ]
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]
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]
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]
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]
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\end{tikzpicture}
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\newline
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\begin{tikzpicture}[every tree node/.style={draw,circle},sibling distance=.25cm]
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\Tree
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[.$\forall y$
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[.$\imp$
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[.$P$ $b$ $y$ ]
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[.$\lor$
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[.$Q$ $b$ $y$ ]
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[.$R$ $b$ $y$ ]
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]
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]
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]
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\end{tikzpicture}
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\newline
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Subtree: $x=b$ \\
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\begin{tikzpicture}[every tree node/.style={draw,circle},sibling distance=.25cm]
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\Tree
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[.$\imp$
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[.$P$ $b$ $a$ ]
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[.$\lor$
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[.$Q$ $b$ $a$ ]
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[.$R$ $b$ $a$ ]
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]
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]
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\end{tikzpicture}
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\newline
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Subtree: $x=b \land y=a$
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\begin{tikzpicture}[every tree node/.style={draw,circle},sibling distance=.25cm]
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\Tree
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[.$\imp$
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[.$P$ $b$ $b$ ]
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[.$\lor$
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[.$Q$ $b$ $b$ ]
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[.$R$ $b$ $b$ ]
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]
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]
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\end{tikzpicture}
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\newline
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Subtree: $x=b \land y=b$
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The model $\mathcal{M}$ satisfies the formula.
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