case class OmegaCertificate(elimConst: ConstantTerm, boundsA: Seq[CertInequality], boundsB: Seq[CertInequality], children: Seq[Certificate], order: TermOrder) extends Certificate with Product with Serializable

Certificate corresponding to an application of the Omega rule, which has the same effect as repeated application of Strengthen to the inequalities boundsA in a goal.

For each of the inequalities in boundsA, strengthenCases tells how often Strengthen is applied. The counting works just like in StrengthenCertificate, i.e., 1 means that Strenghten is applied once (and there are two cases).

Linear Supertypes
Serializable, Product, Equals, Certificate, AnyRef, Any
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Inherited
  1. OmegaCertificate
  2. Serializable
  3. Product
  4. Equals
  5. Certificate
  6. AnyRef
  7. Any
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Visibility
  1. Public
  2. Protected

Instance Constructors

  1. new OmegaCertificate(elimConst: ConstantTerm, boundsA: Seq[CertInequality], boundsB: Seq[CertInequality], children: Seq[Certificate], order: TermOrder)

Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##: Int
    Definition Classes
    AnyRef → Any
  3. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  4. def apply(i: Int): Certificate
    Definition Classes
    OmegaCertificate → Certificate
  5. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  6. lazy val assumedFormulas: Set[CertFormula]

    Formulae that the proof assumes to be present on this branch (i.e., premisses of rules applied in the proof).

    Formulae that the proof assumes to be present on this branch (i.e., premisses of rules applied in the proof). We assume that all formulae live in the antecedent.

    Definition Classes
    Certificate
  7. val boundsA: Seq[CertInequality]
  8. val boundsB: Seq[CertInequality]
  9. val children: Seq[Certificate]
  10. def clone(): AnyRef
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.CloneNotSupportedException]) @HotSpotIntrinsicCandidate() @native()
  11. val closingConstraint: Conjunction

    The constraint resulting from this proof

    The constraint resulting from this proof

    Definition Classes
    OmegaCertificate → Certificate
  12. lazy val constants: Set[ConstantTerm]

    Set of constants occurring in this certificate.

    Set of constants occurring in this certificate. By default this will contain the set of all constants in sub-certificates, as well as constants in assumed formulas.

    Definition Classes
    Certificate
  13. val elimConst: ConstantTerm
  14. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  15. final def getClass(): Class[_ <: AnyRef]
    Definition Classes
    AnyRef → Any
    Annotations
    @HotSpotIntrinsicCandidate() @native()
  16. val hashCode: Int
    Definition Classes
    OmegaCertificate → AnyRef → Any
  17. lazy val inferenceCount: Int
    Definition Classes
    Certificate
  18. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  19. def iterator: Iterator[Certificate]
    Definition Classes
    OmegaCertificate → Certificate
  20. def length: Int
    Definition Classes
    OmegaCertificate → Certificate
  21. val localAssumedFormulas: Set[CertFormula]
    Definition Classes
    OmegaCertificate → Certificate
  22. val localBoundConstants: Set[ConstantTerm]

    Constants bound by the root operator of the certificate.

    Constants bound by the root operator of the certificate.

    Definition Classes
    Certificate
  23. val localProvidedFormulas: Seq[Set[CertFormula]]

    Formulae that are introduced into the antecedent by this rule application (one set for each subproof).

    Formulae that are introduced into the antecedent by this rule application (one set for each subproof). This will implicitly simplify formulae (all simplifications that are built into the datastructures are carried out).

    Definition Classes
    OmegaCertificate → Certificate
  24. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  25. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @HotSpotIntrinsicCandidate() @native()
  26. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @HotSpotIntrinsicCandidate() @native()
  27. val order: TermOrder
    Definition Classes
    OmegaCertificate → Certificate
  28. def productElementNames: Iterator[String]
    Definition Classes
    Product
  29. def size: Int
    Definition Classes
    Certificate
  30. val strengthenCases: Seq[IdealInt]
  31. def subCertificates: IndexedSeq[Certificate]
    Definition Classes
    Certificate
  32. final def synchronized[T0](arg0: => T0): T0
    Definition Classes
    AnyRef
  33. lazy val theoryAxioms: Set[CertFormula]
    Definition Classes
    Certificate
  34. def toString(): String
    Definition Classes
    OmegaCertificate → AnyRef → Any
  35. def update(newSubCerts: Seq[Certificate]): Certificate
    Definition Classes
    OmegaCertificate → Certificate
  36. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  37. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException]) @native()
  38. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])

Deprecated Value Members

  1. def finalize(): Unit
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.Throwable]) @Deprecated
    Deprecated

    (Since version 9)

Inherited from Serializable

Inherited from Product

Inherited from Equals

Inherited from Certificate

Inherited from AnyRef

Inherited from Any

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