Class

at.logic.gapt.proofs.lkNew

ReflexivityAxiom

Related Doc: package lkNew

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case class ReflexivityAxiom(s: LambdaExpression) extends InitialSequent with Product with Serializable

An LKProof consisting of a reflexivity axiom:

   ------------ax
     :- s = s
with s a term.

s

The term s.

Linear Supertypes
Serializable, Serializable, InitialSequent, LKProof, SequentProof[HOLFormula, LKProof], DagProof[LKProof], Product, Equals, AnyRef, Any
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  2. By inheritance
Inherited
  1. ReflexivityAxiom
  2. Serializable
  3. Serializable
  4. InitialSequent
  5. LKProof
  6. SequentProof
  7. DagProof
  8. Product
  9. Equals
  10. AnyRef
  11. Any
Implicitly
  1. by any2stringadd
  2. by StringFormat
  3. by Ensuring
  4. by ArrowAssoc
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Visibility
  1. Public
  2. All

Instance Constructors

  1. new ReflexivityAxiom(s: LambdaExpression)

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    s

    The term s.

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. def +(other: String): String

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    Implicit information
    This member is added by an implicit conversion from ReflexivityAxiom to any2stringadd[ReflexivityAxiom] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (ReflexivityAxiom, B)

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    Implicit information
    This member is added by an implicit conversion from ReflexivityAxiom to ArrowAssoc[ReflexivityAxiom] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @inline()
  5. final def ==(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any
  6. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any
  7. 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
  8. 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
  9. def clone(): AnyRef

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

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    The conclusion of the rule.

    The conclusion of the rule.

    Definition Classes
    LKProofSequentProof
  11. 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
  12. 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
  13. def endSequent: HOLSequent

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    The end-sequent of the rule.

    The end-sequent of the rule.

    Definition Classes
    ReflexivityAxiomLKProof
  14. def ensuring(cond: (ReflexivityAxiom) ⇒ Boolean, msg: ⇒ Any): ReflexivityAxiom

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    Implicit information
    This member is added by an implicit conversion from ReflexivityAxiom to Ensuring[ReflexivityAxiom] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  15. def ensuring(cond: (ReflexivityAxiom) ⇒ Boolean): ReflexivityAxiom

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    Implicit information
    This member is added by an implicit conversion from ReflexivityAxiom to Ensuring[ReflexivityAxiom] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  16. def ensuring(cond: Boolean, msg: ⇒ Any): ReflexivityAxiom

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    Implicit information
    This member is added by an implicit conversion from ReflexivityAxiom to Ensuring[ReflexivityAxiom] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  17. def ensuring(cond: Boolean): ReflexivityAxiom

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    Implicit information
    This member is added by an implicit conversion from ReflexivityAxiom to Ensuring[ReflexivityAxiom] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  18. final def eq(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef
  19. def finalize(): Unit

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  20. 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
  21. def formatted(fmtstr: String): String

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    Implicit information
    This member is added by an implicit conversion from ReflexivityAxiom to StringFormat[ReflexivityAxiom] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @inline()
  22. final def getClass(): Class[_]

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    Definition Classes
    AnyRef → Any
  23. val hashCode: Int

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

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    The immediate subproofs of this rule.

    The immediate subproofs of this rule.

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

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    Definition Classes
    Any
  26. def longName: String

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    The name of the rule (in words).

    The name of the rule (in words).

    Definition Classes
    DagProof
  27. def mainFormula: HOLAtom

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  28. 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
  29. 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
  30. def name: String

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    The name of the rule (in symbols).

    The name of the rule (in symbols).

    Definition Classes
    InitialSequentDagProof
  31. final def ne(arg0: AnyRef): Boolean

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

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

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    Definition Classes
    AnyRef
  34. 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
  35. 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
  36. def premises: Seq[Sequent[HOLFormula]]

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    The upper sequents of the rule.

    The upper sequents of the rule.

    Definition Classes
    SequentProof
  37. val s: LambdaExpression

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    The term s.

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

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    Attributes
    protected
    Definition Classes
    SequentProofDagProof
  39. 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
  40. final def synchronized[T0](arg0: ⇒ T0): T0

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    Definition Classes
    AnyRef
  41. def toString(): String

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    Definition Classes
    DagProof → AnyRef → Any
  42. 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
  43. final def wait(): Unit

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

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

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  46. def [B](y: B): (ReflexivityAxiom, B)

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    Implicit information
    This member is added by an implicit conversion from ReflexivityAxiom to ArrowAssoc[ReflexivityAxiom] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc

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

Inherited by implicit conversion any2stringadd from ReflexivityAxiom to any2stringadd[ReflexivityAxiom]

Inherited by implicit conversion StringFormat from ReflexivityAxiom to StringFormat[ReflexivityAxiom]

Inherited by implicit conversion Ensuring from ReflexivityAxiom to Ensuring[ReflexivityAxiom]

Inherited by implicit conversion ArrowAssoc from ReflexivityAxiom to ArrowAssoc[ReflexivityAxiom]

Ungrouped