Object/Class

at.logic.gapt.proofs.lk

ReductiveCutElimination

Related Docs: class ReductiveCutElimination | package lk

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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

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    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.

  5. final def asInstanceOf[T0]: T0

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  6. def clone(): AnyRef

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  9. def finalize(): Unit

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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

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    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.

  13. final def isInstanceOf[T0]: Boolean

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

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  15. final def notify(): Unit

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  19. final def wait(): Unit

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