Trait

at.logic.gapt.formats.ivy

IvyResolutionProof

Related Doc: package ivy

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sealed trait IvyResolutionProof extends SequentProof[FOLAtom, IvyResolutionProof]

** Implementation of Ivy's Resolution Calculus *** Ivy has it's own variation of resolution which only resolves over identical literals but has an instantiation rule. It should be possible to display the proofs in prooftool, but a translation to robinson resolution is neccessary for many applications.

Source
IvyResolution.scala
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Inherited
  1. IvyResolutionProof
  2. SequentProof
  3. DagProof
  4. Product
  5. Equals
  6. AnyRef
  7. Any
Implicitly
  1. by any2stringadd
  2. by StringFormat
  3. by Ensuring
  4. by ArrowAssoc
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Abstract Value Members

  1. abstract def canEqual(that: Any): Boolean

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    Definition Classes
    Equals
  2. abstract val clause_exp: SExpression

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  3. abstract def conclusion: Sequent[FOLAtom]

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    The conclusion of the rule.

    The conclusion of the rule.

    Definition Classes
    SequentProof
  4. abstract val id: String

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  5. abstract def immediateSubProofs: Seq[IvyResolutionProof]

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    The immediate subproofs of this rule.

    The immediate subproofs of this rule.

    Definition Classes
    DagProof
  6. abstract def productArity: Int

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    Definition Classes
    Product
  7. abstract def productElement(n: Int): Any

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    Definition Classes
    Product

Concrete 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 IvyResolutionProof to any2stringadd[IvyResolutionProof] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (IvyResolutionProof, B)

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    Implicit information
    This member is added by an implicit conversion from IvyResolutionProof to ArrowAssoc[IvyResolutionProof] 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. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any
  7. def auxFormulas: Seq[Seq[FOLAtom]]

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    A list of lists containing the auxiliary formulas of the rule.

    A list of lists containing the auxiliary formulas of the rule. The first list constains the auxiliary formulas in the first premise and so on.

    Definition Classes
    SequentProof
  8. def auxIndices: Seq[Seq[SequentIndex]]

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    A list of lists of SequentIndices denoting the auxiliary formula(s) of the rule.

    A list of lists of SequentIndices denoting the auxiliary formula(s) of the rule. The first list contains the auxiliary formulas in the first premise and so on.

    Definition Classes
    IvyResolutionProofSequentProof
  9. def clone(): AnyRef

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  10. def dagLike: DagLikeOps[IvyResolutionProof]

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    Operations that view the sub-proofs as a DAG, which ignore duplicate sub-proofs, see DagProof.DagLikeOps for a list.

    Operations that view the sub-proofs as a DAG, which ignore duplicate sub-proofs, see DagProof.DagLikeOps for a list.

    Definition Classes
    DagProof
  11. def depth: Int

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    Depth of the proof, which is the maximum length of a path you can take via immediateSubProofs.

    Depth of the proof, which is the maximum length of a path you can take via immediateSubProofs.

    Definition Classes
    DagProof
  12. def ensuring(cond: (IvyResolutionProof) ⇒ Boolean, msg: ⇒ Any): IvyResolutionProof

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

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

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

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

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    Definition Classes
    AnyRef
  17. def equals(that: Any): Boolean

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    Definition Classes
    DagProof → Equals → AnyRef → Any
  18. def finalize(): Unit

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  19. def formatted(fmtstr: String): String

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

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    Definition Classes
    AnyRef → Any
  21. val hashCode: Int

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    Definition Classes
    DagProof → AnyRef → Any
  22. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any
  23. def longName: String

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    The name of this rule (in words).

    The name of this rule (in words).

    Definition Classes
    DagProof
  24. def mainFormulas: Seq[FOLAtom]

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    The list of main formulas of the rule.

    The list of main formulas of the rule.

    Definition Classes
    SequentProof
  25. def mainIndices: Seq[SequentIndex]

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    A list of SequentIndices denoting the main formula(s) of the rule.

    A list of SequentIndices denoting the main formula(s) of the rule.

    Definition Classes
    IvyResolutionProofSequentProof
  26. def name: String

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    The name of this rule (in symbols).

    The name of this rule (in symbols).

    Definition Classes
    DagProof
  27. final def ne(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef
  28. final def notify(): Unit

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    Definition Classes
    AnyRef
  29. final def notifyAll(): Unit

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    Definition Classes
    AnyRef
  30. def occConnectors: Seq[OccConnector[FOLAtom]]

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    A list of occurrence connectors, one for each immediate subproof.

    A list of occurrence connectors, one for each immediate subproof.

    Definition Classes
    IvyResolutionProofSequentProof
  31. def premises: Seq[Sequent[FOLAtom]]

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    The upper sequents of the rule.

    The upper sequents of the rule.

    Definition Classes
    SequentProof
  32. def productIterator: Iterator[Any]

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    Definition Classes
    Product
  33. def productPrefix: String

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    Definition Classes
    Product
  34. def stepString(subProofLabels: Map[Any, String]): String

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    Attributes
    protected
    Definition Classes
    SequentProofDagProof
  35. def subProofs: Set[IvyResolutionProof]

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    Set of all (transitive) sub-proofs including this.

    Set of all (transitive) sub-proofs including this.

    Definition Classes
    DagProof
  36. final def synchronized[T0](arg0: ⇒ T0): T0

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    Definition Classes
    AnyRef
  37. def toString(): String

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    Definition Classes
    DagProof → AnyRef → Any
  38. def treeLike: TreeLikeOps[IvyResolutionProof]

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    Operations that view the sub-proofs as a tree, see DagProof.TreeLikeOps for a list.

    Operations that view the sub-proofs as a tree, see DagProof.TreeLikeOps for a list.

    Definition Classes
    DagProof
  39. final def wait(): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  40. final def wait(arg0: Long, arg1: Int): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  41. final def wait(arg0: Long): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  42. def [B](y: B): (IvyResolutionProof, B)

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

Inherited from DagProof[IvyResolutionProof]

Inherited from Product

Inherited from Equals

Inherited from AnyRef

Inherited from Any

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

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

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

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

Ungrouped