abstract class UnaryLKProof extends LKProof

An LKProof deriving a sequent from another sequent:

       (π)
     Γ :- Δ
   ----------
    Γ' :- Δ'

Source
UnaryLKProof.scala
Type Hierarchy
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  1. Alphabetic
  2. By Inheritance
Inherited
  1. UnaryLKProof
  2. LKProof
  3. SequentProof
  4. DagProof
  5. Product
  6. Equals
  7. AnyRef
  8. Any
Implicitly
  1. by any2stringadd
  2. by StringFormat
  3. by Ensuring
  4. by ArrowAssoc
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Visibility
  1. Public
  2. Protected

Instance Constructors

  1. new UnaryLKProof()

Abstract Value Members

  1. abstract def auxIndices: Seq[Seq[SequentIndex]]

    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
    SequentProof
  2. abstract def canEqual(that: Any): Boolean
    Definition Classes
    Equals
  3. abstract def conclusion: Sequent[Formula]

    The conclusion of the rule.

    The conclusion of the rule.

    Definition Classes
    SequentProof
  4. abstract def mainIndices: Seq[SequentIndex]

    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
    SequentProof
  5. abstract def occConnectors: Seq[SequentConnector]

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

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

    Definition Classes
    SequentProof
  6. abstract def productArity: Int
    Definition Classes
    Product
  7. abstract def productElement(n: Int): Any
    Definition Classes
    Product
  8. abstract def subProof: LKProof

    The immediate subproof of the rule.

Concrete Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##(): Int
    Definition Classes
    AnyRef → Any
  3. def +(other: String): String
    Implicit
    This member is added by an implicit conversion from UnaryLKProof toany2stringadd[UnaryLKProof] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (UnaryLKProof, B)
    Implicit
    This member is added by an implicit conversion from UnaryLKProof toArrowAssoc[UnaryLKProof] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @inline()
  5. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  6. def LKRuleCreationException(message: String): LKRuleCreationException
    Attributes
    protected
    Definition Classes
    LKProof
  7. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  8. def auxFormulas: Seq[Seq[Formula]]

    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 clone(): AnyRef
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.CloneNotSupportedException]) @native() @IntrinsicCandidate()
  10. def dagLike: DagLikeOps[LKProof]

    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
  11. def depth: Int

    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
  12. final def endSequent: HOLSequent

    The end-sequent of the rule.

    The end-sequent of the rule.

    Definition Classes
    LKProof
  13. def ensuring(cond: (UnaryLKProof) => Boolean, msg: => Any): UnaryLKProof
    Implicit
    This member is added by an implicit conversion from UnaryLKProof toEnsuring[UnaryLKProof] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  14. def ensuring(cond: (UnaryLKProof) => Boolean): UnaryLKProof
    Implicit
    This member is added by an implicit conversion from UnaryLKProof toEnsuring[UnaryLKProof] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  15. def ensuring(cond: Boolean, msg: => Any): UnaryLKProof
    Implicit
    This member is added by an implicit conversion from UnaryLKProof toEnsuring[UnaryLKProof] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  16. def ensuring(cond: Boolean): UnaryLKProof
    Implicit
    This member is added by an implicit conversion from UnaryLKProof toEnsuring[UnaryLKProof] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  17. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  18. def equals(that: Any): Boolean
    Definition Classes
    DagProof → Equals → AnyRef → Any
  19. def formatted(fmtstr: String): String
    Implicit
    This member is added by an implicit conversion from UnaryLKProof toStringFormat[UnaryLKProof] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @inline()
  20. final def getClass(): Class[_ <: AnyRef]
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @IntrinsicCandidate()
  21. def getSequentConnector: SequentConnector

    The object connecting the lower and upper sequents.auxFormulas

  22. val hashCode: Int
    Definition Classes
    DagProof
  23. def immediateSubProofs: Seq[LKProof]

    The immediate subproofs of this rule.

    The immediate subproofs of this rule.

    Definition Classes
    UnaryLKProofDagProof
  24. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  25. def longName: String

    The name of this rule (in words).

    The name of this rule (in words).

    Definition Classes
    DagProof
  26. def mainFormulas: Seq[Formula]

    The list of main formulas of the rule.

    The list of main formulas of the rule.

    Definition Classes
    SequentProof
  27. def name: String

    The name of this rule (in symbols).

    The name of this rule (in symbols).

    Definition Classes
    DagProof
  28. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  29. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @IntrinsicCandidate()
  30. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @IntrinsicCandidate()
  31. def premise: HOLSequent

    The upper sequent of the rule.

  32. def premises: Seq[Sequent[Formula]]

    The upper sequents of the rule.

    The upper sequents of the rule.

    Definition Classes
    SequentProof
  33. def productElementName(n: Int): String
    Definition Classes
    Product
  34. def productElementNames: Iterator[String]
    Definition Classes
    Product
  35. def productIterator: Iterator[Any]
    Definition Classes
    Product
  36. def productPrefix: String
    Definition Classes
    Product
  37. def stepString(subProofLabels: Map[Any, String]): String
    Attributes
    protected
    Definition Classes
    SequentProofDagProof
  38. def subProofAt(pos: List[Int]): LKProof

    Returns the subproof at the given position: p.subProofAt(Nil) is p itself; p.subProofAt(i :: is) is the ith subproof of p.subProofAt(is).

    Returns the subproof at the given position: p.subProofAt(Nil) is p itself; p.subProofAt(i :: is) is the ith subproof of p.subProofAt(is).

    Definition Classes
    DagProof
  39. def subProofs: Set[LKProof]

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

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

    Definition Classes
    DagProof
  40. final def synchronized[T0](arg0: => T0): T0
    Definition Classes
    AnyRef
  41. def toString(): String
    Definition Classes
    DagProof → AnyRef → Any
  42. def treeLike: TreeLikeOps[LKProof]

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

    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
  44. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  45. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException]) @native()
  46. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])

Deprecated Value Members

  1. def finalize(): Unit
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.Throwable]) @Deprecated @deprecated
    Deprecated

    (Since version ) see corresponding Javadoc for more information.

  2. def [B](y: B): (UnaryLKProof, B)
    Implicit
    This member is added by an implicit conversion from UnaryLKProof toArrowAssoc[UnaryLKProof] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @deprecated
    Deprecated

    (Since version 2.13.0) Use -> instead. If you still wish to display it as one character, consider using a font with programming ligatures such as Fira Code.

Inherited from LKProof

Inherited from SequentProof[Formula, LKProof]

Inherited from DagProof[LKProof]

Inherited from Product

Inherited from Equals

Inherited from AnyRef

Inherited from Any

Inherited by implicit conversion any2stringadd fromUnaryLKProof to any2stringadd[UnaryLKProof]

Inherited by implicit conversion StringFormat fromUnaryLKProof to StringFormat[UnaryLKProof]

Inherited by implicit conversion Ensuring fromUnaryLKProof to Ensuring[UnaryLKProof]

Inherited by implicit conversion ArrowAssoc fromUnaryLKProof to ArrowAssoc[UnaryLKProof]

Ungrouped