Class/Object

at.logic.gapt.proofs.ceres

CERESR2LK

Related Docs: object CERESR2LK | package ceres

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class CERESR2LK extends AnyRef

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  1. CERESR2LK
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  1. by any2stringadd
  2. by StringFormat
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Instance Constructors

  1. new CERESR2LK()

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Value Members

  1. final def !=(arg0: Any): Boolean

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  2. final def ##(): Int

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  3. def +(other: String): String

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    Implicit information
    This member is added by an implicit conversion from CERESR2LK to any2stringadd[CERESR2LK] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (CERESR2LK, B)

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    Implicit information
    This member is added by an implicit conversion from CERESR2LK to ArrowAssoc[CERESR2LK] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @inline()
  5. final def ==(arg0: Any): Boolean

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  6. def apply(endsequent: HOLSequent, proj: Set[LKProof], rp: RobinsonResolutionProof): LKProof

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    Applies the CERES method to a first order proof with equality.

    Applies the CERES method to a first order proof with equality. Internally this is handled by the RobinsoToLK method. Please note that the formulas in the different input proofs need to come from the same layer (i.e. both FOL or both HOL)

    endsequent

    The end-sequent of the original proof

    proj

    The projections of the original proof

    rp

    A resolution refutation

    returns

    an LK Proof in Atomic Cut Normal Form (ACNF) i.e. without quantified cuts

  7. def apply(p: LKProof, pred: (HOLFormula) ⇒ Boolean): LKProof

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    Applies the CERES method to a first order proof with equality.

    Applies the CERES method to a first order proof with equality. Internally this is handled by the RobinsoToLK method.

    p

    a first-order LKProof (structural rules, cut, logical rules, equational rules but no definitions, schema,higher order) also each formula must be a FOLFormula, since the prover9 interface returns proofs from the FOL layer

    pred

    a predicate to specify which cut formulas to eliminate (e.g. x => containsQuantifiers(x) to keep propositional cuts intact)

    returns

    an LK Proof in Atomic Cut Normal Form (ACNF) i.e. without quantified cuts

  8. def apply(p: LKProof): LKProof

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    Applies the CERES method to a first order proof with equality.

    Applies the CERES method to a first order proof with equality. Internally this is handled by the RobinsoToLK method.

    p

    a first-order LKProof (structural rules, cut, logical rules, equational rules but no definitions, schema,higher order) also each formula must be a FOLFormula, since the prover9 interface returns proofs from the FOL layer

    returns

    an LK Proof in Atomic Cut Normal Form (ACNF) i.e. without quantified cuts

  9. final def asInstanceOf[T0]: T0

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  10. def clone(): AnyRef

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    @throws( ... )
  11. def ensuring(cond: (CERESR2LK) ⇒ Boolean, msg: ⇒ Any): CERESR2LK

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    Implicit information
    This member is added by an implicit conversion from CERESR2LK to Ensuring[CERESR2LK] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  12. def ensuring(cond: (CERESR2LK) ⇒ Boolean): CERESR2LK

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    Implicit information
    This member is added by an implicit conversion from CERESR2LK to Ensuring[CERESR2LK] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  13. def ensuring(cond: Boolean, msg: ⇒ Any): CERESR2LK

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    Implicit information
    This member is added by an implicit conversion from CERESR2LK to Ensuring[CERESR2LK] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  14. def ensuring(cond: Boolean): CERESR2LK

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    Implicit information
    This member is added by an implicit conversion from CERESR2LK to Ensuring[CERESR2LK] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  15. final def eq(arg0: AnyRef): Boolean

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  16. def equals(arg0: Any): Boolean

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  17. def finalize(): Unit

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    protected[java.lang]
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    @throws( classOf[java.lang.Throwable] )
  18. def formatted(fmtstr: String): String

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    Implicit information
    This member is added by an implicit conversion from CERESR2LK to StringFormat[CERESR2LK] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @inline()
  19. final def getClass(): Class[_]

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  20. def hashCode(): Int

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  21. final def isInstanceOf[T0]: Boolean

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

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  23. final def notify(): Unit

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  24. final def notifyAll(): Unit

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  25. final def synchronized[T0](arg0: ⇒ T0): T0

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  26. def toString(): String

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  27. final def wait(): Unit

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    @throws( ... )
  28. final def wait(arg0: Long, arg1: Int): Unit

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  29. final def wait(arg0: Long): Unit

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    @throws( ... )
  30. def [B](y: B): (CERESR2LK, B)

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    Implicit information
    This member is added by an implicit conversion from CERESR2LK to ArrowAssoc[CERESR2LK] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc

Inherited from AnyRef

Inherited from Any

Inherited by implicit conversion any2stringadd from CERESR2LK to any2stringadd[CERESR2LK]

Inherited by implicit conversion StringFormat from CERESR2LK to StringFormat[CERESR2LK]

Inherited by implicit conversion Ensuring from CERESR2LK to Ensuring[CERESR2LK]

Inherited by implicit conversion ArrowAssoc from CERESR2LK to ArrowAssoc[CERESR2LK]

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