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Both sides previous revision Previous revision | Next revision Both sides next revision | ||
sav08:first-order_logic_semantics [2008/03/19 21:52] damien |
sav08:first-order_logic_semantics [2008/04/02 20:46] vkuncak |
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++++How do we evaluate quantifiers?| | ++++How do we evaluate quantifiers?| | ||
\[\begin{array}{rcl} | \[\begin{array}{rcl} | ||
- | e_F(\exists x.F) &=& (\exists d \in D_I.\ e_F(F)(I[x \mapsto d])) \\ | + | e_F(\exists x.F)(I) &=& (\exists d \in D_I.\ e_F(F)(I[x \mapsto d])) \\ |
- | e_F(\forall x.F) &=& (\forall d \in D_I.\ e_F(F)(I[x \mapsto d])) | + | e_F(\forall x.F)(I) &=& (\forall d \in D_I.\ e_F(F)(I[x \mapsto d])) |
\end{array} | \end{array} | ||
\] | \] |