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sav08:isomorphism_of_interpretations [2008/03/19 17:24] vkuncak |
sav08:isomorphism_of_interpretations [2008/03/20 13:37] vkuncak |
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| and for every first-order logic formula $F$ we have $e_F(F)(I_1)=e_F(F)(I_2)$. | and for every first-order logic formula $F$ we have $e_F(F)(I_1)=e_F(F)(I_2)$. | ||
| - | **Proof:** | + | **Proof:** ++++|Induction on the structure of terms and formulas. |
| - | ++++|Induction on the structure of terms and formulas. | + | |
| + | Case for $F_1 \land F_2$. | ||
| + | Case for $\exists x.F$. Induction issues, function update on isomorphic interpretations. | ||
| ++++ | ++++ | ||