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sav08:proof_rule_for_equality [2012/05/08 14:59] vkuncak |
sav08:proof_rule_for_equality [2015/04/21 17:30] (current) |
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| === Paramodulation === | === Paramodulation === | ||
| - | \[ | + | \begin{equation*} |
| \frac{D \cup \{ s = t \}\ \ \ \ C[s'] } | \frac{D \cup \{ s = t \}\ \ \ \ C[s'] } | ||
| {subst(\sigma)(D \cup C[t])} | {subst(\sigma)(D \cup C[t])} | ||
| - | \] | + | \end{equation*} |
| where $\sigma$ is [[Unification|mgu]] of $\{s,s'\}$. | where $\sigma$ is [[Unification|mgu]] of $\{s,s'\}$. | ||
| Line 13: | Line 13: | ||
| === Equality Resolution === | === Equality Resolution === | ||
| - | \[ | + | \begin{equation*} |
| \frac{C \cup \{ s \neq s' \}} | \frac{C \cup \{ s \neq s' \}} | ||
| {subst(\sigma)(C)} | {subst(\sigma)(C)} | ||
| - | \] | + | \end{equation*} |
| where $\sigma$ is [[Unification|mgu]] of $\{s,s'\}$. | where $\sigma$ is [[Unification|mgu]] of $\{s,s'\}$. | ||