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12 lines
506 B
12 lines
506 B
\begin{align*}
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\varphi_{FC} \quad := \quad
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&(x=y \wedge y=z \rightarrow f_{xy} = f_{yz}) \wedge \\
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&(x=x \wedge y=x \rightarrow f_{xy} = f_{xx}) \wedge \\
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&(y=x \wedge z=x \rightarrow f_{yz} = f_{xx})
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\end{align*}
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\begin{align*}
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\hat{\varphi}_{EUF} \quad := \quad f_{xy}=f_{yz} \; \lor \; (z=f_{yz} \land f_{xx} \neq f_{xy})
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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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