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sav08:definition_of_resolution_for_fol [2008/04/01 18:19] vkuncak |
sav08:definition_of_resolution_for_fol [2015/04/21 17:30] |
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| - | ====== Definition of Resolution for First-Order Logic ====== | ||
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| - | This is the definition of resolution rule for first-order logic clauses. | ||
| - | \[ | ||
| - | \frac{C \cup \{\lnot A_1\}\ \ \ D \cup \{A_2\}} | ||
| - | {subst(\sigma)(C' \cup D')} | ||
| - | \] | ||
| - | where $C'$ is renaming of $C$, where $D'$ is renaming of $D$, and where $\sigma = mgu(\{C',D'\})$. | ||
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| - | We will call the above rule //mgu-resolution// if we need to differentiate it from [[Non-Ground Instantiation and Resolution|instantiation followed by resolution]]. | ||