Class/Object

ap.proof.certificates

OmegaCertificate

Related Docs: object OmegaCertificate | package certificates

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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, Serializable, Product, Equals, Certificate, AnyRef, Any
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Inherited
  1. OmegaCertificate
  2. Serializable
  3. Serializable
  4. Product
  5. Equals
  6. Certificate
  7. AnyRef
  8. Any
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Visibility
  1. Public
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Instance Constructors

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

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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. final def ==(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any
  4. def apply(i: Int): Certificate

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    Definition Classes
    OmegaCertificateCertificate
  5. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any
  6. lazy val assumedFormulas: Set[CertFormula]

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    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]

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  8. val boundsB: Seq[CertInequality]

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  9. val children: Seq[Certificate]

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  10. def clone(): AnyRef

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  11. val closingConstraint: Conjunction

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    The constraint resulting from this proof

    The constraint resulting from this proof

    Definition Classes
    OmegaCertificateCertificate
  12. lazy val constants: Set[ConstantTerm]

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    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

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  14. final def eq(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef
  15. def finalize(): Unit

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  16. final def getClass(): Class[_]

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    Definition Classes
    AnyRef → Any
  17. val hashCode: Int

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    Definition Classes
    OmegaCertificate → AnyRef → Any
  18. lazy val inferenceCount: Int

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    Definition Classes
    Certificate
  19. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any
  20. def iterator: Iterator[Certificate]

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    Definition Classes
    OmegaCertificateCertificate
  21. def length: Int

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    Definition Classes
    OmegaCertificateCertificate
  22. val localAssumedFormulas: Set[CertFormula]

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    Definition Classes
    OmegaCertificateCertificate
  23. val localBoundConstants: Set[ConstantTerm]

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    Constants bound by the root operator of the certificate.

    Constants bound by the root operator of the certificate.

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

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    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
    OmegaCertificateCertificate
  25. final def ne(arg0: AnyRef): Boolean

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

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

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    Definition Classes
    AnyRef
  28. val order: TermOrder

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    Definition Classes
    OmegaCertificateCertificate
  29. def size: Int

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    Definition Classes
    Certificate
  30. val strengthenCases: Seq[IdealInt]

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  31. def subCertificates: IndexedSeq[Certificate]

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    Definition Classes
    Certificate
  32. final def synchronized[T0](arg0: ⇒ T0): T0

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    Definition Classes
    AnyRef
  33. lazy val theoryAxioms: Set[CertFormula]

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    Definition Classes
    Certificate
  34. def toString(): String

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    Definition Classes
    OmegaCertificate → AnyRef → Any
  35. def update(newSubCerts: Seq[Certificate]): Certificate

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    Definition Classes
    OmegaCertificateCertificate
  36. final def wait(): Unit

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

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

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

Inherited from Serializable

Inherited from Serializable

Inherited from Product

Inherited from Equals

Inherited from Certificate

Inherited from AnyRef

Inherited from Any

Ungrouped