object kolmogorov
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- transformation.scala
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- def apply(proof: NDProof): NDProof
Applies the Kolmogorov proof transformation to a given natural deduction proof.
Applies the Kolmogorov proof transformation to a given natural deduction proof. The transformation removes all occurences of the excluded middle rule and the botttom elimination rule, and thus the resulting proof is a proof in intuitionistic, minimal logic. The conclusion of the resulting proof is the Kolmogorov trnaslation k applied to the original conclusion.
- proof
A proof in ND for a sequent Γ :- A
- returns
A proof in intuitionistic, minimal ND for the sequent k(Γ) :- k(A)
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- def k(formula: Expr): Formula
Applies the Kolmogorov translation k to a formula.
Applies the Kolmogorov translation k to a formula. This function puts a double negation in front of every subformula, in case this subformula is not negated already.
- formula
input formula for the function k
- returns
result of applying k to the input formula
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This is the API documentation for GAPT.
The main package is gapt.