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at.logic.gapt.proofs.lk

pushSingleWeakeningToLeaves

object pushSingleWeakeningToLeaves

Source
PushWeakeningsToLeaves.scala
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  4. def apply(proof: LKProof, side: Polarity, formula: Formula): LKProof

    Adds a weakening inference to the leaves of the given proof.

    Adds a weakening inference to the leaves of the given proof.

    proof

    The proof of the end sequent Γ → Δ.

    side

    The side of the weakening which will be added.

    formula

    The formula A which is to be introduced by weakenings.

    returns

    A proof of the end sequent Γ → Δ, A or A, Γ → Δ depending on the weakening polarity.

  5. def apply(proof: LKProof): LKProof

    Pushes a weakening inference to the leaves.

    Pushes a weakening inference to the leaves.

    proof

    An LK-proof to which the reduction is applied.

    returns

    If the last inference is a weakening inference, and this weakening is not part of a weakening-only subtree then a proof of the same end-sequent obtained by moving the weakening inference to the leaves is returned. Otherwise the proof is not modified.

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  22. def withConnector(proof: LKProof): (LKProof, SequentConnector)

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