Conversion to prenex form can be avoided, if " structural"
2.
The rules for converting a formula to prenex form make heavy use of classical logic.
3.
Some proof calculi will only deal with a theory whose formulae are written in prenex normal form.
4.
Assuming fully quantified Boolean formulas to be in prenex normal form is a frequent feature of proofs.
5.
There are several conversion rules that can be recursively applied to convert a formula to prenex normal form.
6.
In intuitionistic logic, it is not true that every formula is logically equivalent to a prenex formula.
7.
A fully quantified Boolean formula can be assumed to have a very specific form, called prenex normal form.
8.
Every first-order formula is logically equivalent ( in classical logic ) to some formula in prenex normal form.
9.
For example, for a formula in prenex normal form, qr is simply the total number of its quantifiers.
10.
By introducing dummy variables, any formula in prenex normal form can be converted into a sentence where existential and universal quantifiers alternate.
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