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at.logic.gapt.proofs.lk

inductionUnfoldingReduction

object inductionUnfoldingReduction

Source
reductiveCutElimination.scala
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  4. def apply(induction: InductionRule)(implicit ctx: Context): Option[LKProof]

    Tries to unfold an induction inference.

    Tries to unfold an induction inference.

    induction

    The induction inference to be unfolded.

    ctx

    Defines constants, types, etc.

    returns

    If the given induction's term is in constructor form a proof of the same end-sequent for which the induction inference has been unfolded is returned, otherwise None.

  5. def apply(proof: LKProof)(implicit ctx: Context): Option[LKProof]

    Tries to apply the induction unfolding reduction to a given inference.

    Tries to apply the induction unfolding reduction to a given inference.

    proof

    The induction unfolding reduction is tried to applied to the last inference of this proof.

    ctx

    Defines constants, types, etc.

    returns

    None if the proof does not end with an induction inference, otherwise see inductionUnfoldingReduction.apply(InductionRule)(Context): Option[LKProof].

  6. def applyWithSequentConnector(induction: InductionRule)(implicit ctx: Context): Option[(LKProof, SequentConnector)]

    Tries to apply the reduction.

    Tries to apply the reduction.

    induction

    See inductionUnfoldingReduction$.apply(induction:InductionRule)(ctx:Context):Option[LKProof]

    ctx

    Defines constants, types, etc.

    returns

    If the induction rule could be unfolded a proof of the same end-sequent and a sequent connector is returned, otherwise None is returned.

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