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sav08:substitutions_for_first-order_logic [2008/03/19 00:12] vkuncak |
sav08:substitutions_for_first-order_logic [2008/03/19 08:39] vkuncak |
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| nsubst(\sigma)(F_1 \land F_2) &=& \\ | nsubst(\sigma)(F_1 \land F_2) &=& \\ | ||
| nsubst(\sigma)(\forall x.F) &=& \\ | nsubst(\sigma)(\forall x.F) &=& \\ | ||
| - | nsubst(\sigma)(\forall x.F) &=& | + | nsubst(\sigma)(\exists x.F) &=& |
| \] | \] | ||
| Line 53: | Line 53: | ||
| sfsubst(\sigma)(\lnot F) &=& \\ | sfsubst(\sigma)(\lnot F) &=& \\ | ||
| sfsubst(\sigma)(F_1 \land F_2) &=& \\ | sfsubst(\sigma)(F_1 \land F_2) &=& \\ | ||
| - | sfsubst(\sigma)(\forall x.F) &=& | + | sfsubst(\sigma)(\forall x.F) &=& \\ |
| - | sfsubst(\sigma)(\forall x.F) &=& | + | sfsubst(\sigma)(\exists x.F) &=& |
| \end{array} | \end{array} | ||
| \] | \] | ||