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sav08:definition_of_resolution_for_fol [2008/04/01 18:11] vkuncak created |
sav08:definition_of_resolution_for_fol [2008/04/01 18:19] vkuncak |
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| ====== Definition of Resolution for First-Order Logic ====== | ====== Definition of Resolution for First-Order Logic ====== | ||
| + | This is the definition of resolution rule for first-order logic clauses. | ||
| \[ | \[ | ||
| \frac{C \cup \{\lnot A_1\}\ \ \ D \cup \{A_2\}} | \frac{C \cup \{\lnot A_1\}\ \ \ D \cup \{A_2\}} | ||
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| \] | \] | ||
| where $C'$ is renaming of $C$, where $D'$ is renaming of $D$, and where $\sigma = mgu(\{C',D'\})$. | 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]]. | ||