Object/Class

at.logic.gapt.proofs.ceres

CERES

Related Docs: class CERES | package ceres

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object CERES extends CERES

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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(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

    Definition Classes
    CERES
  5. def apply(lkproof: LKProof, refutation: LKProof, pred: (HOLFormula) ⇒ Boolean): LKProof

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    CERES
  6. 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

    Definition Classes
    CERES
  7. 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

    Definition Classes
    CERES
  8. final def asInstanceOf[T0]: T0

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  9. def clone(): AnyRef

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

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    CERES
  11. final def eq(arg0: AnyRef): Boolean

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  12. def equals(arg0: Any): Boolean

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  13. def finalize(): Unit

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  14. def findMatchingProjection(endsequent: HOLSequent, projections: Set[LKProof]): (HOLSequent) ⇒ LKProof

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    CERES
  15. final def getClass(): Class[_]

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  16. def hashCode(): Int

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  17. final def isInstanceOf[T0]: Boolean

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

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  19. final def notify(): Unit

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  20. final def notifyAll(): Unit

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  21. def refProjection(es: HOLSequent): LKProof

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

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  23. def toString(): String

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  24. final def wait(): Unit

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  25. final def wait(arg0: Long, arg1: Int): Unit

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

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Inherited from CERES

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