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object ReductiveCutElimination

This object implements a version of Gentzen's cut-elimination proof for our sequent calculus LK. For details, please refer to the documentation of the apply methods.

Source
reductiveCutElimination.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(proof: LKProof): LKProof

    This methods implements a version of Gentzen's cut-elimination proof using the (known to be terminating) strategy of reducing a left-uppermost cut.

    This methods implements a version of Gentzen's cut-elimination proof using the (known to be terminating) strategy of reducing a left-uppermost cut. The algorithm terminates when all cuts have been eliminated.

    proof

    The proof to subject to cut-elimination.

    returns

    The cut-free proof.

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  10. final def getClass(): Class[_]
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  11. def hashCode(): Int
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  12. def isCutFree(proof: LKProof): Boolean

    This method checks whether a proof is cut-free.

    This method checks whether a proof is cut-free.

    proof

    The proof to check for cut-freeness.

    returns

    True if proof does not contain the cut rule, False otherwise.

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  14. final def ne(arg0: AnyRef): Boolean
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