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Both sides previous revision Previous revision | Next revision Both sides next revision | ||
sav08:non-ground_instantiation_and_resolution [2008/04/01 16:25] vkuncak |
sav08:non-ground_instantiation_and_resolution [2008/04/01 16:34] vkuncak |
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\[ | \[ | ||
\frac{C \cup \{\lnot A_1\}\ \ \ D \cup \{A_2\}} | \frac{C \cup \{\lnot A_1\}\ \ \ D \cup \{A_2\}} | ||
- | {subst(\sigma,C \cup D)} | + | {subst(\sigma_1)(C) \cup subst(\sigma_2)(D)} |
\] | \] | ||
- | such that $subst(\sigma)(A_1) = subst(\sigma)(A_2)$. | + | such that $subst(\sigma_1)(A_1) = subst(\sigma_2)(A_2)$. |
Note: $\sigma$ such that $subst(\sigma)(A_1) = subst(\sigma)(A_2)$ is called a **unifier** for $\{A_1,A_2\}$. | Note: $\sigma$ such that $subst(\sigma)(A_1) = subst(\sigma)(A_2)$ is called a **unifier** for $\{A_1,A_2\}$. |