case class ExR(subProof: ResolutionProof, idx: SequentIndex, skolemTerm: Expr) extends SkolemQuantResolutionRule with Product with Serializable

Source
resolution.scala
Type Hierarchy
Ordering
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Inherited
  1. ExR
  2. Serializable
  3. SkolemQuantResolutionRule
  4. PropositionalResolutionRule
  5. LocalResolutionRule
  6. ContextRule
  7. ResolutionProof
  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 ExR(subProof: ResolutionProof, idx: SequentIndex, skolemTerm: Expr)

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 ExR toany2stringadd[ExR] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (ExR, B)
    Implicit
    This member is added by an implicit conversion from ExR toArrowAssoc[ExR] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @inline()
  5. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  6. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  7. val assertions: HOLClause

    Assertions of the proof.

    Assertions of the proof.

    Attention: this is interpreted as assertions.toNegConjunction --> conclusion.toDisjunction

    These assertions indicate the splitting assumptions this proof depends on.

    Definition Classes
    ResolutionProof
  8. 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
  9. 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
    PropositionalResolutionRuleSequentProof
  10. val bound: Var
    Definition Classes
    ExRSkolemQuantResolutionRule
  11. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.CloneNotSupportedException]) @native()
  12. lazy val conclusion: Sequent[Formula]

    The conclusion of the rule.

    The conclusion of the rule.

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

    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
  15. def definitions: Map[HOLAtomConst, Expr]

    All definitions introduced by any subproof.

    All definitions introduced by any subproof.

    throws java.lang.Exception if inconsistent definitions are used

    Definition Classes
    ResolutionProof
  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. def ensuring(cond: (ExR) => Boolean, msg: => Any): ExR
    Implicit
    This member is added by an implicit conversion from ExR toEnsuring[ExR] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  18. def ensuring(cond: (ExR) => Boolean): ExR
    Implicit
    This member is added by an implicit conversion from ExR toEnsuring[ExR] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  19. def ensuring(cond: Boolean, msg: => Any): ExR
    Implicit
    This member is added by an implicit conversion from ExR toEnsuring[ExR] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  20. def ensuring(cond: Boolean): ExR
    Implicit
    This member is added by an implicit conversion from ExR toEnsuring[ExR] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  21. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  22. def equals(that: Any): Boolean
    Definition Classes
    DagProof → Equals → AnyRef → Any
  23. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.Throwable])
  24. def formatted(fmtstr: String): String
    Implicit
    This member is added by an implicit conversion from ExR toStringFormat[ExR] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @inline()
  25. def formulasToBeDeleted: Seq[Seq[SequentIndex]]
    Attributes
    protected
    Definition Classes
    ContextRule
  26. final def getClass(): Class[_ <: AnyRef]
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  27. val hashCode: Int
    Definition Classes
    DagProof
  28. val idx: SequentIndex
    Definition Classes
    ExRPropositionalResolutionRule
  29. def immediateSubProofs: Seq[ResolutionProof]

    The immediate subproofs of this rule.

    The immediate subproofs of this rule.

    Definition Classes
    PropositionalResolutionRuleDagProof
  30. def instFormula: Formula
    Definition Classes
    SkolemQuantResolutionRule
  31. def introducedDefinitions: Map[HOLAtomConst, Expr]

    Definitions introduced by the bottom-most inference rule.

    Definitions introduced by the bottom-most inference rule.

    Definition Classes
    ResolutionProof
  32. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  33. def isProof: Boolean

    Is this a proof of the empty clause with empty assertions, and consistent definitions?

    Is this a proof of the empty clause with empty assertions, and consistent definitions?

    Definition Classes
    ResolutionProof
  34. def longName: String

    The name of this rule (in words).

    The name of this rule (in words).

    Definition Classes
    DagProof
  35. def mainFormulaSequent: Sequent[Formula]
    Definition Classes
    ExRContextRule
  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
    DagProof
  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 occConn: SequentConnector
    Definition Classes
    PropositionalResolutionRule
  43. def occConnectors: IndexedSeq[SequentConnector]

    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 premises: Seq[Sequent[Formula]]

    The upper sequents of the rule.

    The upper sequents of the rule.

    Definition Classes
    SequentProof
  45. def productElementNames: Iterator[String]
    Definition Classes
    Product
  46. val skolemArgs: List[Expr]
    Definition Classes
    SkolemQuantResolutionRule
  47. val skolemConst: Const
    Definition Classes
    SkolemQuantResolutionRule
  48. def skolemFunctions(implicit ctx: Context): SkolemFunctions
    Definition Classes
    ResolutionProof
  49. def skolemSymbols: Set[Const]
    Definition Classes
    ResolutionProof
  50. val skolemTerm: Expr
    Definition Classes
    ExRSkolemQuantResolutionRule
  51. def stepString(subProofLabels: Map[Any, String]): String
    Attributes
    protected
    Definition Classes
    ResolutionProofSequentProofDagProof
  52. def stringifiedConclusion(implicit sig: BabelSignature): String
    Definition Classes
    ResolutionProof
  53. val sub: Formula
    Definition Classes
    ExRSkolemQuantResolutionRule
  54. val subProof: ResolutionProof
    Definition Classes
    ExRPropositionalResolutionRule
  55. def subProofAt(pos: List[Int]): ResolutionProof

    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
  56. def subProofs: Set[ResolutionProof]

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

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

    Definition Classes
    DagProof
  57. final def synchronized[T0](arg0: => T0): T0
    Definition Classes
    AnyRef
  58. def toString(): String
    Definition Classes
    DagProof → AnyRef → Any
  59. def treeLike: TreeLikeOps[ResolutionProof]

    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
  60. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  61. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  62. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException]) @native()

Deprecated Value Members

  1. def [B](y: B): (ExR, B)
    Implicit
    This member is added by an implicit conversion from ExR toArrowAssoc[ExR] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @deprecated
    Deprecated

    (Since version 2.13.0) Use -> instead. If you still wish to display it as one character, consider using a font with programming ligatures such as Fira Code.

Inherited from Serializable

Inherited from LocalResolutionRule

Inherited from ResolutionProof

Inherited from DagProof[ResolutionProof]

Inherited from Product

Inherited from Equals

Inherited from AnyRef

Inherited from Any

Inherited by implicit conversion any2stringadd fromExR to any2stringadd[ExR]

Inherited by implicit conversion StringFormat fromExR to StringFormat[ExR]

Inherited by implicit conversion Ensuring fromExR to Ensuring[ExR]

Inherited by implicit conversion ArrowAssoc fromExR to ArrowAssoc[ExR]

Ungrouped