Class

at.logic.gapt.proofs.lk

EqualityRule

Related Doc: package lk

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abstract class EqualityRule extends UnaryLKProof with CommonRule

Abstract class that performs most of the construction of left and right equality rules.

Source
lk.scala
Linear Supertypes
Known Subclasses
Type Hierarchy
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  2. By Inheritance
Inherited
  1. EqualityRule
  2. CommonRule
  3. ContextRule
  4. UnaryLKProof
  5. LKProof
  6. SequentProof
  7. DagProof
  8. Product
  9. Equals
  10. AnyRef
  11. Any
Implicitly
  1. by any2stringadd
  2. by StringFormat
  3. by Ensuring
  4. by ArrowAssoc
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Visibility
  1. Public
  2. All

Instance Constructors

  1. new EqualityRule()

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Abstract Value Members

  1. abstract def aux: SequentIndex

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

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    Definition Classes
    Equals
  3. abstract def eq: SequentIndex

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  4. abstract def eqInConclusion: SequentIndex

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  5. abstract def mainFormulaSequent: Sequent[HOLFormula]

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    Attributes
    protected
    Definition Classes
    ContextRule
  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
  8. abstract def replacementContext: Abs

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  9. abstract def subProof: LKProof

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    The immediate subproof of the rule.

    The immediate subproof of the rule.

    Definition Classes
    EqualityRuleUnaryLKProof

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

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    Implicit information
    This member is added by an implicit conversion from EqualityRule to ArrowAssoc[EqualityRule] 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 LKRuleCreationException(message: String): LKRuleCreationException

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    Definition Classes
    LKProof
  7. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any
  8. val auxFormula: HOLFormula

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  9. def auxFormulas: Seq[Seq[HOLFormula]]

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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
  10. def auxInConclusion: SequentIndex

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  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
    EqualityRuleSequentProof
  12. 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. lazy val conclusion: Sequent[HOLFormula]

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    The conclusion of the rule.

    The conclusion of the rule.

    Definition Classes
    ContextRuleSequentProof
  15. def contexts: Seq[Sequent[HOLFormula]]

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    Attributes
    protected
    Definition Classes
    ContextRule
  16. def dagLike: DagLikeOps[LKProof]

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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
  17. 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
  18. final def endSequent: Sequent[HOLFormula]

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    The end-sequent of the rule.

    The end-sequent of the rule.

    Definition Classes
    LKProof
  19. def ensuring(cond: (EqualityRule) ⇒ Boolean, msg: ⇒ Any): EqualityRule

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

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

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

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    Implicit information
    This member is added by an implicit conversion from EqualityRule to Ensuring[EqualityRule] 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. def equals(that: Any): Boolean

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    Definition Classes
    DagProof → Equals → AnyRef → Any
  25. def equation: HOLFormula

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  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 EqualityRule to StringFormat[EqualityRule] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @inline()
  28. def formulasToBeDeleted: Seq[Seq[SequentIndex]]

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    Definition Classes
    EqualityRuleContextRule
  29. final def getClass(): Class[_]

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    Definition Classes
    AnyRef → Any
  30. def getOccConnector: OccConnector[HOLFormula]

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    The object connecting the lower and upper sequents.auxFormulas

    The object connecting the lower and upper sequents.auxFormulas

    Definition Classes
    UnaryLKProof
  31. val hashCode: Int

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

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    The immediate subproofs of this rule.

    The immediate subproofs of this rule.

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

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    Definition Classes
    Any
  34. val leftToRight: Boolean

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  35. def longName: String

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    The name of this rule (in words).

    The name of this rule (in words).

    Definition Classes
    DagProof
  36. def mainFormula: HOLFormula

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  37. def mainFormulas: Seq[HOLFormula]

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    The list of main formulas of the rule.

    The list of main formulas of the rule.

    Definition Classes
    SequentProof
  38. 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
  39. def name: String

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    The name of this rule (in symbols).

    The name of this rule (in symbols).

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

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

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

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    Definition Classes
    AnyRef
  43. def occConnectors: Seq[OccConnector[HOLFormula]]

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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
  44. def premise: Sequent[HOLFormula]

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    The upper sequent of the rule.

    The upper sequent of the rule.

    Definition Classes
    UnaryLKProof
  45. def premises: Seq[Sequent[HOLFormula]]

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    The upper sequents of the rule.

    The upper sequents of the rule.

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

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    Definition Classes
    Product
  47. def productPrefix: String

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

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    Attributes
    protected
    Definition Classes
    SequentProofDagProof
  49. def subProofs: Set[LKProof]

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

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

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

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    Definition Classes
    AnyRef
  51. def toString(): String

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    Definition Classes
    DagProof → AnyRef → Any
  52. def treeLike: TreeLikeOps[LKProof]

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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
  53. def validateIndices(premise: HOLSequent, 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
    LKProof
  54. final def wait(): Unit

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

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

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

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  58. def [B](y: B): (EqualityRule, B)

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

Inherited from CommonRule

Inherited from ContextRule[HOLFormula, LKProof]

Inherited from UnaryLKProof

Inherited from LKProof

Inherited from SequentProof[HOLFormula, LKProof]

Inherited from DagProof[LKProof]

Inherited from Product

Inherited from Equals

Inherited from AnyRef

Inherited from Any

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

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

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

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

Ungrouped