Object

at.logic.gapt.proofs.lkskNew

applySubstitution

Related Doc: package lkskNew

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object applySubstitution

Source
applySubstitution.scala
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  1. final def !=(arg0: Any): Boolean

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  2. final def ##(): Int

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  3. final def ==(arg0: Any): Boolean

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  4. def apply(substitution: Substitution, preserveEigenvariables: Boolean = false)(proof: LKskProof): LKskProof

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    Applies a substitution to an LKProof.

    Applies a substitution to an LKProof.

    substitution

    The substitution to be applied.

    preserveEigenvariables

    If true, preserve eigenvariables and never change them. If false (the default), treat eigenvariables as variables bound by their strong quantifier inferences and perform capture-avoiding substitution.

    proof

    The proof to apply the substitution to.

    returns

    The substituted proof.

    Note

    The algorithm preserves the invariant that each substituted rule works on the same sequent indices as the original rule. This is actively used in the CERES method, where the Sequent[Boolean] which characterizes the cut-ancestors is not recomputed.

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  6. def bnsub(f: LabelledFormula, sub: Substitution): LabelledFormula

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  7. def bnsub(f: Label, sub: Substitution): Label

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  8. def bnsub(f: HOLFormula, sub: Substitution): HOLFormula

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  9. def bnsub(f: LambdaExpression, sub: Substitution): LambdaExpression

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  10. def clone(): AnyRef

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  18. final def notify(): Unit

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