Class/Object

at.logic.gapt.proofs.ceres

CERES

Related Docs: object CERES | package ceres

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class CERES extends AnyRef

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  1. by any2stringadd
  2. by StringFormat
  3. by Ensuring
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Instance Constructors

  1. new CERES()

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Value Members

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

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    Definition Classes
    AnyRef → Any
  2. final def ##(): Int

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    Definition Classes
    AnyRef → Any
  3. def +(other: String): String

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

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

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    Definition Classes
    AnyRef → Any
  6. def apply(endsequent: HOLSequent, projections: Set[LKProof], refutation: 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.

    endsequent

    The end-sequent of the original proof

    projections

    The projections of the original proof

    refutation

    A resolution refutation converted to LK (for instance with Robinson2LK)

    returns

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

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

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  8. 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

  9. 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

  10. final def asInstanceOf[T0]: T0

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  11. def clone(): AnyRef

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    @throws( ... )
  12. def contractEndsequent(p: LKProof, es: HOLSequent): LKProof

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  13. def ensuring(cond: (CERES) ⇒ Boolean, msg: ⇒ Any): CERES

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

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

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

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

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    AnyRef
  18. def equals(arg0: Any): Boolean

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    AnyRef → Any
  19. def finalize(): Unit

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    Attributes
    protected[java.lang]
    Definition Classes
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    Annotations
    @throws( classOf[java.lang.Throwable] )
  20. def findMatchingProjection(endsequent: HOLSequent, projections: Set[LKProof]): (HOLSequent) ⇒ LKProof

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  21. def formatted(fmtstr: String): String

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

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  23. def hashCode(): Int

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  24. final def isInstanceOf[T0]: Boolean

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

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    AnyRef
  26. final def notify(): Unit

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  27. final def notifyAll(): Unit

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    Definition Classes
    AnyRef
  28. def refProjection(es: HOLSequent): LKProof

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

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    AnyRef
  30. def toString(): String

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  31. final def wait(): Unit

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

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    @throws( ... )
  33. final def wait(arg0: Long): Unit

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    @throws( ... )
  34. def [B](y: B): (CERES, B)

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

Inherited from AnyRef

Inherited from Any

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

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

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

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

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