For instance, G�del showed that all theorems from intuitionistic logic have an equivalent theorem in the classical modal logic S4.
2.
These results are not equivalent theorems; the Knaster & ndash; Tarski theorem is a much stronger result than what is used in denotational semantics.
3.
The equivalent theorem is that for any formal system F, there exists a mathematical statement which can be interpreted as " This statement is not provable in formal system F ".
4.
Since 1836, the statement of Budan's theorem has been replaced in the literature by the statement of an equivalent theorem by Joseph Fourier, and the latter has been referred to under various names, including Budan's.
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