case class NegIntroRule(subProof: NDProof, aux: SequentIndex) extends UnaryNDProof with CommonRule with Product with Serializable

An NDProof ending with introduction of a negation:

        (π)
    A, Γ :- ⊥
   -----------¬:i
    Γ :- ¬A

subProof

The subproof π.

aux

The index of A.

Source
nd.scala
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. NegIntroRule
  2. Serializable
  3. Serializable
  4. CommonRule
  5. ContextRule
  6. UnaryNDProof
  7. NDProof
  8. SequentProof
  9. DagProof
  10. Product
  11. Equals
  12. AnyRef
  13. 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 NegIntroRule(subProof: NDProof, aux: SequentIndex)

    subProof

    The subproof π.

    aux

    The index of A.

Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##(): Int
    Definition Classes
    AnyRef → Any
  3. def +(other: String): String
    Implicit
    This member is added by an implicit conversion from NegIntroRule to any2stringadd[NegIntroRule] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (NegIntroRule, B)
    Implicit
    This member is added by an implicit conversion from NegIntroRule to ArrowAssoc[NegIntroRule] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @inline()
  5. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  6. def NDRuleCreationException(message: String): NDRuleCreationException
    Attributes
    protected
    Definition Classes
    NDProof
  7. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  8. val aux: SequentIndex
  9. def auxFormulas: Seq[Seq[Formula]]

    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 auxIndices: Seq[Seq[SequentIndex]]

    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
    NegIntroRuleSequentProof
  11. val bottom: Formula
  12. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )
  13. lazy val conclusion: Sequent[Formula]

    The conclusion of the rule.

    The conclusion of the rule.

    Definition Classes
    ContextRuleSequentProof
  14. def contexts: Seq[Sequent[Formula]]
    Attributes
    protected
    Definition Classes
    ContextRule
  15. def dagLike: DagLikeOps[NDProof]

    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
  16. def depth: Int

    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
  17. final def endSequent: Sequent[Formula]

    The end-sequent of the rule.

    The end-sequent of the rule.

    Definition Classes
    NDProof
  18. def ensuring(cond: (NegIntroRule) ⇒ Boolean, msg: ⇒ Any): NegIntroRule
    Implicit
    This member is added by an implicit conversion from NegIntroRule to Ensuring[NegIntroRule] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  19. def ensuring(cond: (NegIntroRule) ⇒ Boolean): NegIntroRule
    Implicit
    This member is added by an implicit conversion from NegIntroRule to Ensuring[NegIntroRule] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  20. def ensuring(cond: Boolean, msg: ⇒ Any): NegIntroRule
    Implicit
    This member is added by an implicit conversion from NegIntroRule to Ensuring[NegIntroRule] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  21. def ensuring(cond: Boolean): NegIntroRule
    Implicit
    This member is added by an implicit conversion from NegIntroRule to Ensuring[NegIntroRule] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  22. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  23. def equals(that: Any): Boolean
    Definition Classes
    DagProof → Equals → AnyRef → Any
  24. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  25. def formatted(fmtstr: String): String
    Implicit
    This member is added by an implicit conversion from NegIntroRule to StringFormat[NegIntroRule] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @inline()
  26. val formula: Formula
  27. def formulasToBeDeleted: Seq[Seq[SequentIndex]]
    Attributes
    protected
    Definition Classes
    ContextRule
  28. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  29. def getSequentConnector: SequentConnector

    The object connecting the lower and upper sequents.auxFormulas.

    The object connecting the lower and upper sequents.auxFormulas.

    Definition Classes
    UnaryNDProof
  30. val hashCode: Int
    Definition Classes
    DagProof
  31. def immediateSubProofs: Seq[NDProof]

    The immediate subproofs of this rule.

    The immediate subproofs of this rule.

    Definition Classes
    UnaryNDProofDagProof
  32. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  33. def longName: String

    The name of this rule (in words).

    The name of this rule (in words).

    Definition Classes
    DagProof
  34. val mainFormula: Formula
  35. def mainFormulaSequent: Sequent[Formula]
    Definition Classes
    NegIntroRuleContextRule
  36. def mainFormulas: Seq[Formula]

    The list of main formulas of the rule.

    The list of main formulas of the rule.

    Definition Classes
    SequentProof
  37. def mainIndices: Vector[SequentIndex]

    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
  38. def name: String

    The name of this rule (in symbols).

    The name of this rule (in symbols).

    Definition Classes
    NegIntroRuleDagProof
  39. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  40. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  41. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  42. def occConnectors: Seq[SequentConnector]

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

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

    Definition Classes
    ContextRuleSequentProof
  43. def premise: Sequent[Formula]

    The upper sequent of the rule.

    The upper sequent of the rule.

    Definition Classes
    UnaryNDProof
  44. def premises: Seq[Sequent[Formula]]

    The upper sequents of the rule.

    The upper sequents of the rule.

    Definition Classes
    SequentProof
  45. def stepString(subProofLabels: Map[Any, String]): String
    Attributes
    protected
    Definition Classes
    SequentProofDagProof
  46. val subProof: NDProof
    Definition Classes
    NegIntroRuleUnaryNDProof
  47. def subProofAt(pos: List[Int]): NDProof

    Returns the subproof at the given position: p.subProofAt(Nil) is p itself; p.subProofAt(i :: is) is the ith subproof of p.subProofAt(is).

    Returns the subproof at the given position: p.subProofAt(Nil) is p itself; p.subProofAt(i :: is) is the ith subproof of p.subProofAt(is).

    Definition Classes
    DagProof
  48. def subProofs: Set[NDProof]

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

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

    Definition Classes
    DagProof
  49. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  50. def toString(): String
    Definition Classes
    DagProof → AnyRef → Any
  51. def treeLike: TreeLikeOps[NDProof]

    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
  52. def validateIndices(premise: HOLSequent, antecedentIndices: Seq[SequentIndex]): Unit

    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.

    Attributes
    protected
    Definition Classes
    NDProof
  53. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  54. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  55. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )
  56. def [B](y: B): (NegIntroRule, B)
    Implicit
    This member is added by an implicit conversion from NegIntroRule to ArrowAssoc[NegIntroRule] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc

Inherited from Serializable

Inherited from Serializable

Inherited from CommonRule

Inherited from ContextRule[Formula, NDProof]

Inherited from UnaryNDProof

Inherited from NDProof

Inherited from SequentProof[Formula, NDProof]

Inherited from DagProof[NDProof]

Inherited from Product

Inherited from Equals

Inherited from AnyRef

Inherited from Any

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

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

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

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

Ungrouped