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sav08:extending_languages_of_decidable_theories [2008/04/15 14:27]
vkuncak
sav08:extending_languages_of_decidable_theories [2008/04/15 14:27]
vkuncak
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    ​T'​ = \{ F \mid rf(F) \in Conseq(T) \}    ​T'​ = \{ F \mid rf(F) \in Conseq(T) \}
 \] \]
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 How to do quantifier elimination in $T'$? How to do quantifier elimination in $T'$?
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 The quantifier-free version of $F$ is then simply $R_{rf(F)}(x_1,​\ldots,​x_n)$ where $fv(rf(F)) = x_1,​\ldots,​x_n$. ​ This quantifier elimination is easy and effective (and trivial). The quantifier-free version of $F$ is then simply $R_{rf(F)}(x_1,​\ldots,​x_n)$ where $fv(rf(F)) = x_1,​\ldots,​x_n$. ​ This quantifier elimination is easy and effective (and trivial).
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