Class

at.logic.gapt.proofs.lksk

Equality

Related Doc: package lksk

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case class Equality(subProof: LKskProof, eq: Ant, aux: SequentIndex, leftToRight: Boolean, con: Abs) extends UnaryRule with SameLabel with Product with Serializable

Source
lkskNew.scala
Linear Supertypes
Type Hierarchy
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Inherited
  1. Equality
  2. Serializable
  3. Serializable
  4. SameLabel
  5. UnaryRule
  6. LKskProof
  7. ContextRule
  8. SequentProof
  9. DagProof
  10. Product
  11. Equals
  12. AnyRef
  13. Any
Implicitly
  1. by CollectionsHaveToParArray
  2. by any2stringadd
  3. by StringFormat
  4. by Ensuring
  5. by ArrowAssoc
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Visibility
  1. Public
  2. All

Instance Constructors

  1. new Equality(subProof: LKskProof, eq: Ant, aux: SequentIndex, leftToRight: Boolean, con: Abs)

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

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    Implicit information
    This member is added by an implicit conversion from Equality to ArrowAssoc[Equality] 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. val aux: SequentIndex

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  8. val auxFormula: HOLFormula

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  9. val auxFormula_: LambdaExpression

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  10. def auxFormulas: Seq[Seq[LabelledFormula]]

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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
  11. 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
    EqualitySequentProof
  12. lazy val by: LambdaExpression

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  13. def clone(): AnyRef

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  14. val con: Abs

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  15. lazy val conclusion: Sequent[LabelledFormula]

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    The conclusion of the rule.

    The conclusion of the rule.

    Definition Classes
    ContextRuleSequentProof
  16. def contexts: Seq[Sequent[LabelledFormula]]

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    Attributes
    protected
    Definition Classes
    ContextRule
  17. def dagLike: DagLikeOps[LKskProof]

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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
  18. 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
  19. def ensuring(cond: (Equality) ⇒ Boolean, msg: ⇒ Any): Equality

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

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

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

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

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    Definition Classes
    AnyRef
  24. val eq: Ant

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  25. def equals(that: Any): Boolean

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

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

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    Implicit information
    This member is added by an implicit conversion from Equality to StringFormat[Equality] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @inline()
  28. def formulas: Sequent[HOLFormula]

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    Definition Classes
    LKskProof
  29. def formulasToBeDeleted: Seq[Seq[SequentIndex]]

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    Attributes
    protected
    Definition Classes
    ContextRule
  30. final def getClass(): Class[_]

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    Definition Classes
    AnyRef → Any
  31. val hashCode: Int

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    Definition Classes
    DagProof → AnyRef → Any
  32. def immediateSubProofs: Seq[LKskProof]

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    The immediate subproofs of this rule.

    The immediate subproofs of this rule.

    Definition Classes
    UnaryRuleDagProof
  33. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any
  34. val label: Label

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    Definition Classes
    SameLabel
  35. def labels: Sequent[Label]

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    Definition Classes
    LKskProof
  36. val leftToRight: Boolean

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  37. def longName: String

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    The name of this rule (in words).

    The name of this rule (in words).

    Definition Classes
    DagProof
  38. lazy val mainFormula: HOLFormula

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  39. val mainFormulaSequent: Sequent[(Label, HOLFormula)]

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    Definition Classes
    SameLabelContextRule
  40. def mainFormulas: Seq[LabelledFormula]

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    The list of main formulas of the rule.

    The list of main formulas of the rule.

    Definition Classes
    SequentProof
  41. 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
    ContextRuleSequentProof
  42. def name: String

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    The name of this rule (in symbols).

    The name of this rule (in symbols).

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

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    Definition Classes
    AnyRef
  44. lazy val newFormulas: Sequent[HOLFormula]

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    Definition Classes
    EqualitySameLabel
  45. final def notify(): Unit

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

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    Definition Classes
    AnyRef
  47. def occConnectors: Seq[OccConnector[LabelledFormula]]

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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
    ContextRuleSequentProof
  48. def premise: Sequent[LabelledFormula]

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    Definition Classes
    UnaryRule
  49. def premises: Seq[Sequent[LabelledFormula]]

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    The upper sequents of the rule.

    The upper sequents of the rule.

    Definition Classes
    SequentProof
  50. def requireEq[T](a: T, b: T): Unit

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    Attributes
    protected
    Definition Classes
    LKskProof
  51. def stepString(subProofLabels: Map[Any, String]): String

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    Attributes
    protected
    Definition Classes
    SequentProofDagProof
  52. val subProof: LKskProof

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    Definition Classes
    EqualityUnaryRule
  53. def subProofs: Set[LKskProof]

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

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

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

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    Definition Classes
    AnyRef
  55. def toParArray: ParArray[T]

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    Implicit information
    This member is added by an implicit conversion from Equality to CollectionsHaveToParArray[Equality, T] performed by method CollectionsHaveToParArray in scala.collection.parallel. This conversion will take place only if an implicit value of type (Equality) ⇒ GenTraversableOnce[T] is in scope.
    Definition Classes
    CollectionsHaveToParArray
  56. def toString(): String

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    Definition Classes
    DagProof → AnyRef → Any
  57. def treeLike: TreeLikeOps[LKskProof]

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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
  58. def validateIndices(premise: LabelledSequent, antecedentIndices: Seq[SequentIndex], succedentIndices: Seq[SequentIndex]): Unit

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    Checks whether indices are in the right place and premise is defined at all of them.

    Checks whether indices are in the right place and premise is defined at all of them.

    premise

    The sequent to be checked.

    antecedentIndices

    Indices that should be in the antecedent.

    succedentIndices

    Indices that should be in the succedent.

    Attributes
    protected
    Definition Classes
    LKskProof
  59. final def wait(): Unit

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

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

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  62. lazy val what: LambdaExpression

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  63. def [B](y: B): (Equality, B)

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

Inherited from Serializable

Inherited from Serializable

Inherited from SameLabel

Inherited from UnaryRule

Inherited from LKskProof

Inherited from DagProof[LKskProof]

Inherited from Product

Inherited from Equals

Inherited from AnyRef

Inherited from Any

Inherited by implicit conversion CollectionsHaveToParArray from Equality to CollectionsHaveToParArray[Equality, T]

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

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

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

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

Ungrouped