Packages

abstract class BinaryLKProof extends LKProof

An LKProof deriving a sequent from two other sequents:

    (π1)     (π2)
   Γ :- Δ   Γ' :- Δ'
  ------------------
       Π :- Λ

Source
lk.scala
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. BinaryLKProof
  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 BinaryLKProof()

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[HOLFormula]

    The conclusion of the rule.

    The conclusion of the rule.

    Definition Classes
    SequentProof
  4. abstract def leftSubProof: LKProof

    The immediate left subproof of the rule.

  5. 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
  6. 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
  7. abstract def productArity: Int
    Definition Classes
    Product
  8. abstract def productElement(n: Int): Any
    Definition Classes
    Product
  9. abstract def rightSubProof: LKProof

    The immediate right 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 BinaryLKProof to any2stringadd[BinaryLKProof] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (BinaryLKProof, B)
    Implicit
    This member is added by an implicit conversion from BinaryLKProof to ArrowAssoc[BinaryLKProof] 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
    Definition Classes
    LKProof
  7. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  8. def auxFormulas: Seq[Seq[HOLFormula]]

    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[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  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: Sequent[HOLFormula]

    The end-sequent of the rule.

    The end-sequent of the rule.

    Definition Classes
    LKProof
  13. def ensuring(cond: (BinaryLKProof) ⇒ Boolean, msg: ⇒ Any): BinaryLKProof
    Implicit
    This member is added by an implicit conversion from BinaryLKProof to Ensuring[BinaryLKProof] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  14. def ensuring(cond: (BinaryLKProof) ⇒ Boolean): BinaryLKProof
    Implicit
    This member is added by an implicit conversion from BinaryLKProof to Ensuring[BinaryLKProof] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  15. def ensuring(cond: Boolean, msg: ⇒ Any): BinaryLKProof
    Implicit
    This member is added by an implicit conversion from BinaryLKProof to Ensuring[BinaryLKProof] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  16. def ensuring(cond: Boolean): BinaryLKProof
    Implicit
    This member is added by an implicit conversion from BinaryLKProof to Ensuring[BinaryLKProof] 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 finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  20. def formatted(fmtstr: String): String
    Implicit
    This member is added by an implicit conversion from BinaryLKProof to StringFormat[BinaryLKProof] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @inline()
  21. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
  22. def getLeftSequentConnector: SequentConnector

    The object connecting the lower and left upper sequents.

  23. def getRightSequentConnector: SequentConnector

    The object connecting the lower and right upper sequents.

  24. val hashCode: Int
    Definition Classes
    DagProof
  25. def immediateSubProofs: Seq[LKProof]

    The immediate subproofs of this rule.

    The immediate subproofs of this rule.

    Definition Classes
    BinaryLKProofDagProof
  26. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  27. def leftPremise: Sequent[HOLFormula]

    The left upper sequent of the rule.

  28. def longName: String

    The name of this rule (in words).

    The name of this rule (in words).

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

    The list of main formulas of the rule.

    The list of main formulas of the rule.

    Definition Classes
    SequentProof
  30. def name: String

    The name of this rule (in symbols).

    The name of this rule (in symbols).

    Definition Classes
    DagProof
  31. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  32. final def notify(): Unit
    Definition Classes
    AnyRef
  33. final def notifyAll(): Unit
    Definition Classes
    AnyRef
  34. def premises: Seq[Sequent[HOLFormula]]

    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 rightPremise: Sequent[HOLFormula]

    The right upper sequent of the rule.

  38. def stepString(subProofLabels: Map[Any, String]): String
    Attributes
    protected
    Definition Classes
    SequentProofDagProof
  39. 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
  40. def subProofs: Set[LKProof]

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

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

    Definition Classes
    DagProof
  41. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  42. def toString(): String
    Definition Classes
    DagProof → AnyRef → Any
  43. 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
  44. 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
  45. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  46. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  47. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  48. def [B](y: B): (BinaryLKProof, B)
    Implicit
    This member is added by an implicit conversion from BinaryLKProof to ArrowAssoc[BinaryLKProof] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc

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 BinaryLKProof to any2stringadd[BinaryLKProof]

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

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

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

Ungrouped