Class/Object

at.logic.gapt.proofs.lk

OrRightRule

Related Docs: object OrRightRule | package lk

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case class OrRightRule(subProof: LKProof, aux1: SequentIndex, aux2: SequentIndex) extends UnaryLKProof with CommonRule with Product with Serializable

An LKProof ending with a disjunction on the right:

        (π)
    Γ :- Δ, A, B
   --------------
    Γ :- Δ, A ∨ B

subProof

The subproof π.

aux1

The index of A.

aux2

The index of B.

Linear Supertypes
Serializable, Serializable, CommonRule, ContextRule[HOLFormula, LKProof], UnaryLKProof, LKProof, SequentProof[HOLFormula, LKProof], DagProof[LKProof], Product, Equals, AnyRef, Any
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  2. By Inheritance
Inherited
  1. OrRightRule
  2. Serializable
  3. Serializable
  4. CommonRule
  5. ContextRule
  6. UnaryLKProof
  7. LKProof
  8. SequentProof
  9. DagProof
  10. Product
  11. Equals
  12. AnyRef
  13. Any
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Visibility
  1. Public
  2. All

Instance Constructors

  1. new OrRightRule(subProof: LKProof, aux1: SequentIndex, aux2: SequentIndex)

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    subProof

    The subproof π.

    aux1

    The index of A.

    aux2

    The index of B.

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 LKRuleCreationException(message: String): LKRuleCreationException

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

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    Definition Classes
    Any
  6. val aux1: SequentIndex

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    The index of A.

  7. val aux2: SequentIndex

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    The index of B.

  8. def auxFormulas: Seq[Seq[HOLFormula]]

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    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]]

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    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
    OrRightRuleSequentProof
  10. def clone(): AnyRef

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  11. lazy val conclusion: Sequent[HOLFormula]

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    The conclusion of the rule.

    The conclusion of the rule.

    Definition Classes
    ContextRuleSequentProof
  12. def contexts: Seq[Sequent[HOLFormula]]

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    Attributes
    protected
    Definition Classes
    ContextRule
  13. def dagLike: DagLikeOps[LKProof]

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    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
  14. def depth: Int

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    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
  15. final def endSequent: Sequent[HOLFormula]

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    The end-sequent of the rule.

    The end-sequent of the rule.

    Definition Classes
    LKProof
  16. final def eq(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef
  17. def equals(that: Any): Boolean

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    Definition Classes
    DagProof → Equals → AnyRef → Any
  18. def finalize(): Unit

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  19. def formulasToBeDeleted: Seq[Seq[SequentIndex]]

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    Attributes
    protected
    Definition Classes
    ContextRule
  20. final def getClass(): Class[_]

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    Definition Classes
    AnyRef → Any
  21. def getOccConnector: OccConnector[HOLFormula]

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    The object connecting the lower and upper sequents.auxFormulas

    The object connecting the lower and upper sequents.auxFormulas

    Definition Classes
    UnaryLKProof
  22. val hashCode: Int

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    Definition Classes
    DagProof → AnyRef → Any
  23. def immediateSubProofs: Seq[LKProof]

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    The immediate subproofs of this rule.

    The immediate subproofs of this rule.

    Definition Classes
    UnaryLKProofDagProof
  24. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any
  25. val leftDisjunct: HOLFormula

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  26. def longName: String

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    The name of this rule (in words).

    The name of this rule (in words).

    Definition Classes
    DagProof
  27. val mainFormula: HOLFormula

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  28. def mainFormulaSequent: Sequent[HOLFormula]

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    Definition Classes
    OrRightRuleContextRule
  29. def mainFormulas: Seq[HOLFormula]

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    The list of main formulas of the rule.

    The list of main formulas of the rule.

    Definition Classes
    SequentProof
  30. def mainIndices: Seq[SequentIndex]

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    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
  31. def name: String

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    The name of this rule (in symbols).

    The name of this rule (in symbols).

    Definition Classes
    OrRightRuleDagProof
  32. final def ne(arg0: AnyRef): Boolean

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

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

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    Definition Classes
    AnyRef
  35. def occConnectors: Seq[OccConnector[HOLFormula]]

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

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

    Definition Classes
    ContextRuleSequentProof
  36. def premise: Sequent[HOLFormula]

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    The upper sequent of the rule.

    The upper sequent of the rule.

    Definition Classes
    UnaryLKProof
  37. def premises: Seq[Sequent[HOLFormula]]

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    The upper sequents of the rule.

    The upper sequents of the rule.

    Definition Classes
    SequentProof
  38. val rightDisjunct: HOLFormula

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  39. def stepString(subProofLabels: Map[Any, String]): String

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    Attributes
    protected
    Definition Classes
    SequentProofDagProof
  40. val subProof: LKProof

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    The subproof π.

    The subproof π.

    Definition Classes
    OrRightRuleUnaryLKProof
  41. def subProofs: Set[LKProof]

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

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

    Definition Classes
    DagProof
  42. final def synchronized[T0](arg0: ⇒ T0): T0

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    Definition Classes
    AnyRef
  43. def toString(): String

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    Definition Classes
    DagProof → AnyRef → Any
  44. def treeLike: TreeLikeOps[LKProof]

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

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    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.

    succedentIndices

    Indices that should be in the succedent.

    Attributes
    protected
    Definition Classes
    LKProof
  46. final def wait(): Unit

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

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

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

Inherited from Serializable

Inherited from Serializable

Inherited from CommonRule

Inherited from ContextRule[HOLFormula, LKProof]

Inherited from UnaryLKProof

Inherited from LKProof

Inherited from SequentProof[HOLFormula, LKProof]

Inherited from DagProof[LKProof]

Inherited from Product

Inherited from Equals

Inherited from AnyRef

Inherited from Any

Ungrouped