c

gapt.proofs.lk.transformations

ReductiveCutNormalization

class ReductiveCutNormalization extends AnyRef

This class implements a version of Gentzen's cut-reduction procedure for our sequent calculus LK.

Source
cutNormalization.scala
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Inherited
  1. ReductiveCutNormalization
  2. AnyRef
  3. Any
Implicitly
  1. by any2stringadd
  2. by StringFormat
  3. by Ensuring
  4. by ArrowAssoc
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Visibility
  1. Public
  2. Protected

Instance Constructors

  1. new ReductiveCutNormalization(cleanStructuralRules: Boolean = false, unfoldInduction: Boolean = false)(implicit ctx: Context)

Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##(): Int
    Definition Classes
    AnyRef → Any
  3. def +(other: String): String
    Implicit
    This member is added by an implicit conversion from ReductiveCutNormalization toany2stringadd[ReductiveCutNormalization] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (ReductiveCutNormalization, B)
    Implicit
    This member is added by an implicit conversion from ReductiveCutNormalization toArrowAssoc[ReductiveCutNormalization] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @inline()
  5. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  6. def apply(proof: LKProof): LKProof

    Applies Gentzen's reductive cut-elimination to a proof.

    Applies Gentzen's reductive cut-elimination to a proof.

    proof

    The proof that is subject to cut-elimination.

    returns

    If the input proof is an LK proof, then a cut-free proof is returned, otherwise the resulting proof may not be cut-free.

  7. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  8. def clone(): AnyRef
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.CloneNotSupportedException]) @native() @IntrinsicCandidate()
  9. implicit val ctx: Context
  10. val cutReduction: CutReduction
  11. def ensuring(cond: (ReductiveCutNormalization) => Boolean, msg: => Any): ReductiveCutNormalization
    Implicit
    This member is added by an implicit conversion from ReductiveCutNormalization toEnsuring[ReductiveCutNormalization] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  12. def ensuring(cond: (ReductiveCutNormalization) => Boolean): ReductiveCutNormalization
    Implicit
    This member is added by an implicit conversion from ReductiveCutNormalization toEnsuring[ReductiveCutNormalization] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  13. def ensuring(cond: Boolean, msg: => Any): ReductiveCutNormalization
    Implicit
    This member is added by an implicit conversion from ReductiveCutNormalization toEnsuring[ReductiveCutNormalization] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  14. def ensuring(cond: Boolean): ReductiveCutNormalization
    Implicit
    This member is added by an implicit conversion from ReductiveCutNormalization toEnsuring[ReductiveCutNormalization] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  15. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  16. def equals(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef → Any
  17. def formatted(fmtstr: String): String
    Implicit
    This member is added by an implicit conversion from ReductiveCutNormalization toStringFormat[ReductiveCutNormalization] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @inline()
  18. final def getClass(): Class[_ <: AnyRef]
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @IntrinsicCandidate()
  19. def hashCode(): Int
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @IntrinsicCandidate()
  20. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  21. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  22. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @IntrinsicCandidate()
  23. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @IntrinsicCandidate()
  24. final def synchronized[T0](arg0: => T0): T0
    Definition Classes
    AnyRef
  25. def toString(): String
    Definition Classes
    AnyRef → Any
  26. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  27. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException]) @native()
  28. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  29. object emptyCutReduction extends CutReduction

Deprecated Value Members

  1. def finalize(): Unit
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.Throwable]) @Deprecated @deprecated
    Deprecated

    (Since version ) see corresponding Javadoc for more information.

  2. def [B](y: B): (ReductiveCutNormalization, B)
    Implicit
    This member is added by an implicit conversion from ReductiveCutNormalization toArrowAssoc[ReductiveCutNormalization] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @deprecated
    Deprecated

    (Since version 2.13.0) Use -> instead. If you still wish to display it as one character, consider using a font with programming ligatures such as Fira Code.

Inherited from AnyRef

Inherited from Any

Inherited by implicit conversion any2stringadd fromReductiveCutNormalization to any2stringadd[ReductiveCutNormalization]

Inherited by implicit conversion StringFormat fromReductiveCutNormalization to StringFormat[ReductiveCutNormalization]

Inherited by implicit conversion Ensuring fromReductiveCutNormalization to Ensuring[ReductiveCutNormalization]

Inherited by implicit conversion ArrowAssoc fromReductiveCutNormalization to ArrowAssoc[ReductiveCutNormalization]

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