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sav08:non-ground_instantiation_and_resolution [2008/04/01 20:09] vkuncak |
sav08:non-ground_instantiation_and_resolution [2008/04/02 10:50] vkuncak |
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| 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 $\{A_1,A_2\}$. | ||
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| + | Note: a //renaming// is substitution whose domain and codomain are variables and which is injective. That, is, it renames variables without clashing variable names. | ||
| Further step: do we need to consider all possible unifiers? | Further step: do we need to consider all possible unifiers? | ||
| - | Most general unifier for $\{A_1,A_2\}$, denoted $mgu(A_1,A_2)$ | + | Most general unifier for $\{A_1,A_2\}$, denoted $mgu(A_1,A_2)$. |
| To compute it we can use the standard [[Unification]] algorithm. | To compute it we can use the standard [[Unification]] algorithm. | ||