Class/Object

ap.proof.certificates

BetaCertificate

Related Docs: object BetaCertificate | package certificates

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case class BetaCertificate(leftFormula: CertFormula, rightFormula: CertFormula, lemma: Boolean, _leftChild: Certificate, _rightChild: Certificate, _order: TermOrder) extends BinaryCertificate with Product with Serializable

Certificate corresponding to an application of beta rules with lemmas: the rule describes the splitting of an antecedent formula leftFormula | rightFormula into the cases leftFormula and !leftFormula, rightFormula. (If lemma is not set, the second case is just rightFormula)

Linear Supertypes
Serializable, Serializable, Product, Equals, BinaryCertificate, Certificate, AnyRef, Any
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Inherited
  1. BetaCertificate
  2. Serializable
  3. Serializable
  4. Product
  5. Equals
  6. BinaryCertificate
  7. Certificate
  8. AnyRef
  9. Any
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Visibility
  1. Public
  2. All

Instance Constructors

  1. new BetaCertificate(leftFormula: CertFormula, rightFormula: CertFormula, lemma: Boolean, _leftChild: Certificate, _rightChild: 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. val _leftChild: Certificate

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  5. val _order: TermOrder

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  6. val _rightChild: Certificate

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  7. def apply(i: Int): Certificate

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    Definition Classes
    BinaryCertificateCertificate
  8. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any
  9. 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
  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
    BinaryCertificateCertificate
  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. final def eq(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef
  14. def finalize(): Unit

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

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    Definition Classes
    AnyRef → Any
  16. val hashCode: Int

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    Definition Classes
    BetaCertificate → AnyRef → Any
  17. lazy val inferenceCount: Int

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

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

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    Definition Classes
    BinaryCertificateCertificate
  20. val leftChild: Certificate

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    Definition Classes
    BinaryCertificate
  21. val leftFormula: CertFormula

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  22. val lemma: Boolean

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  23. def length: Int

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    Definition Classes
    BinaryCertificateCertificate
  24. val localAssumedFormulas: Set[CertFormula]

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    Definition Classes
    BetaCertificateCertificate
  25. 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
  26. 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
    BetaCertificateCertificate
  27. final def ne(arg0: AnyRef): Boolean

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

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

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    Definition Classes
    AnyRef
  30. val order: TermOrder

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    Definition Classes
    BinaryCertificateCertificate
  31. val rightChild: Certificate

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    Definition Classes
    BinaryCertificate
  32. val rightFormula: CertFormula

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  33. def size: Int

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    Definition Classes
    Certificate
  34. def subCertificates: IndexedSeq[Certificate]

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

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

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    Definition Classes
    Certificate
  37. def toString(): String

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    Definition Classes
    BetaCertificate → AnyRef → Any
  38. def update(newSubCerts: Seq[Certificate], newLemma: Boolean): Certificate

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  39. def update(newSubCerts: Seq[Certificate]): Certificate

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    Definition Classes
    BetaCertificateCertificate
  40. final def wait(): Unit

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

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  42. 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 BinaryCertificate

Inherited from Certificate

Inherited from AnyRef

Inherited from Any

Ungrouped