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15 lines
797 B
15 lines
797 B
\begin{align*}
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\hat{\varphi}_{EUF} \quad := \quad f_{ab} = x \land f_{xy} \neq g_a \lor f_{mn} = b \lor f_{g_{a}y} \neq a
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\end{align*}
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\begin{align*}
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\varphi_{FC} \quad := \quad & (a=m \land b=n \rightarrow f_{ab} = f_{mn}) \land \\
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& (a=x \land b=y \rightarrow f_{ab} = f_{xy}) \land \\
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& (a=g_a\land b=y \rightarrow f_{ab} = f_{g_{a}y}) \land \\
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& (m=g_a\land y=n \rightarrow f_{mn} = f_{g_{a}y}) \land \\
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& (m=x \land y=n \rightarrow f_{xy} = f_{mn}) \land \\
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& (x=g_a\land y=y \rightarrow f_{xy} = f_{g_{a}y})
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\end{align*}
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\begin{align*}
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\varphi_{E} \quad := \hat{\varphi}_{EUF} \wedge \varphi_{FC}
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\end{align*}
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