Object

at.logic.gapt.proofs.lkNew

TopAxiom

Related Doc: package lkNew

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object TopAxiom extends InitialSequent with Product with Serializable

An LKProof introducing ⊤ on the right:

      --------⊤:r
        :- ⊤

Linear Supertypes
Serializable, Serializable, InitialSequent, LKProof, SequentProof[HOLFormula, LKProof], DagProof[LKProof], Product, Equals, AnyRef, Any
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Inherited
  1. TopAxiom
  2. Serializable
  3. Serializable
  4. InitialSequent
  5. LKProof
  6. SequentProof
  7. DagProof
  8. Product
  9. Equals
  10. AnyRef
  11. Any
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Visibility
  1. Public
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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. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any
  5. 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
  6. def auxIndices: Seq[Nothing]

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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
    InitialSequentSequentProof
  7. def clone(): AnyRef

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  8. def conclusion: HOLSequent

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    The conclusion of the rule.

    The conclusion of the rule.

    Definition Classes
    LKProofSequentProof
  9. def dagLikeForeach(f: (LKProof) ⇒ Unit): Set[LKProof]

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    Iterate over all sub-proofs including this in post-order, ignoring duplicates.

    Iterate over all sub-proofs including this in post-order, ignoring duplicates.

    returns

    Set of all visited sub-proofs including this.

    Definition Classes
    DagProof
  10. def dagLikePostOrder: Seq[LKProof]

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    A sequence of all sub-proofs including this in post-order, ignoring duplicates.

    A sequence of all sub-proofs including this in post-order, ignoring duplicates.

    Definition Classes
    DagProof
  11. def endSequent: HOLSequent

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    The end-sequent of the rule.

    The end-sequent of the rule.

    Definition Classes
    TopAxiomLKProof
  12. final def eq(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef
  13. def equals(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any
  14. def finalize(): Unit

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  15. def foreach(f: (LKProof) ⇒ Unit): Unit

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    Iterate over all sub-proofs including this in post-order.

    Iterate over all sub-proofs including this in post-order.

    Definition Classes
    DagProof
  16. final def getClass(): Class[_]

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    Definition Classes
    AnyRef → Any
  17. val hashCode: Int

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    Definition Classes
    DagProof → AnyRef → Any
  18. def immediateSubProofs: Seq[Nothing]

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    The immediate subproofs of this rule.

    The immediate subproofs of this rule.

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

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    Definition Classes
    Any
  20. def longName: String

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    The name of the rule (in words).

    The name of the rule (in words).

    Definition Classes
    DagProof
  21. def mainFormula: PropFormula

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  22. 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
  23. 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
    InitialSequentSequentProof
  24. def name: String

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    The name of the rule (in symbols).

    The name of the rule (in symbols).

    Definition Classes
    TopAxiomInitialSequentDagProof
  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. def occConnectors: Seq[Nothing]

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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
    InitialSequentSequentProof
  29. def postOrder: Seq[LKProof]

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    A sequence of all sub-proofs including this in post-order.

    A sequence of all sub-proofs including this in post-order.

    Definition Classes
    DagProof
  30. def premises: Seq[Sequent[HOLFormula]]

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    The upper sequents of the rule.

    The upper sequents of the rule.

    Definition Classes
    SequentProof
  31. def stepString(subProofLabels: Map[Any, String]): String

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    Attributes
    protected
    Definition Classes
    SequentProofDagProof
  32. def subProofs: Set[LKProof]

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    Set of all sub-proofs including this.

    Set of all sub-proofs including this.

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

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    Definition Classes
    AnyRef
  34. def toString(): String

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    Definition Classes
    DagProof → AnyRef → Any
  35. 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
  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 InitialSequent

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