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| Both sides previous revision Previous revision Next revision | Previous revision | ||
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sav08:proof_rule_for_equality [2008/04/02 22:53] vkuncak |
sav08:proof_rule_for_equality [2012/05/08 14:59] vkuncak |
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| \[ | \[ | ||
| - | \frac{D \cup \{ s = t \}\ \ \ \ C[s'] \}} | + | \frac{D \cup \{ s = t \}\ \ \ \ C[s'] } |
| {subst(\sigma)(D \cup C[t])} | {subst(\sigma)(D \cup C[t])} | ||
| \] | \] | ||
| Line 19: | Line 19: | ||
| where $\sigma$ is [[Unification|mgu]] of $\{s,s'\}$. | where $\sigma$ is [[Unification|mgu]] of $\{s,s'\}$. | ||
| + | **Superposition:** a closely related technique to paramodulation, also meant for dealing with equality. | ||
| === Completeness of Rules === | === Completeness of Rules === | ||