Packages

abstract class InitialSequent extends LKProof

An LKProof consisting of a single sequent: 

    --------ax
     Γ :- Δ

Source
lk.scala
Linear Supertypes
LKProof, SequentProof[Formula, LKProof], DagProof[LKProof], Product, Equals, AnyRef, Any
Known Subclasses
OpenAssumption, BottomAxiom, LogicalAxiom, ProofLink, ReflexivityAxiom, TopAxiom
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. InitialSequent
  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. All

Instance Constructors

  1. new InitialSequent()

Abstract Value Members

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

    The conclusion of the rule.

    The conclusion of the rule.

    Definition Classes
    SequentProof
  3. abstract def productArity: Int
    Definition Classes
    Product
  4. abstract def productElement(n: Int): Any
    Definition Classes
    Product

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 InitialSequent to any2stringadd[InitialSequent] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (InitialSequent, B)
    Implicit
    This member is added by an implicit conversion from InitialSequent to ArrowAssoc[InitialSequent] 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 auxIndices: Seq[Nothing]

    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
    InitialSequent → SequentProof
  10. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )
  11. 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
  12. 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
  13. final def endSequent: Sequent[Formula]

    The end-sequent of the rule.

    The end-sequent of the rule.

    Definition Classes
    LKProof
  14. def ensuring(cond: (InitialSequent) ⇒ Boolean, msg: ⇒ Any): InitialSequent
    Implicit
    This member is added by an implicit conversion from InitialSequent to Ensuring[InitialSequent] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  15. def ensuring(cond: (InitialSequent) ⇒ Boolean): InitialSequent
    Implicit
    This member is added by an implicit conversion from InitialSequent to Ensuring[InitialSequent] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  16. def ensuring(cond: Boolean, msg: ⇒ Any): InitialSequent
    Implicit
    This member is added by an implicit conversion from InitialSequent to Ensuring[InitialSequent] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  17. def ensuring(cond: Boolean): InitialSequent
    Implicit
    This member is added by an implicit conversion from InitialSequent to Ensuring[InitialSequent] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  18. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  19. def equals(that: Any): Boolean
    Definition Classes
    DagProof → Equals → AnyRef → Any
  20. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  21. def formatted(fmtstr: String): String
    Implicit
    This member is added by an implicit conversion from InitialSequent to StringFormat[InitialSequent] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @inline()
  22. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  23. val hashCode: Int
    Definition Classes
    DagProof
  24. def immediateSubProofs: Seq[Nothing]

    The immediate subproofs of this rule.

    The immediate subproofs of this rule.

    Definition Classes
    InitialSequent → DagProof
  25. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  26. def longName: String

    The name of this rule (in words).

    The name of this rule (in words).

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

    The list of main formulas of the rule.

    The list of main formulas of the rule.

    Definition Classes
    SequentProof
  28. def mainIndices: Vector[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
    InitialSequent → SequentProof
  29. def name: String

    The name of this rule (in symbols).

    The name of this rule (in symbols).

    Definition Classes
    DagProof
  30. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  31. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  32. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  33. def occConnectors: Seq[Nothing]

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

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

    Definition Classes
    InitialSequent → SequentProof
  34. def premises: Seq[Sequent[Formula]]

    The upper sequents of the rule.

    The upper sequents of the rule.

    Definition Classes
    SequentProof
  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
    SequentProof → DagProof
  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. 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(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  45. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  46. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )
  47. def →[B](y: B): (InitialSequent, B)
    Implicit
    This member is added by an implicit conversion from InitialSequent to ArrowAssoc[InitialSequent] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc

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 from InitialSequent to any2stringadd[InitialSequent]

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

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

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

Ungrouped