Class/Object

at.logic.gapt.proofs.lk

BinaryLKProof

Related Docs: object BinaryLKProof | package lk

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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
Linear Supertypes
Known Subclasses
Type Hierarchy
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()

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Abstract Value Members

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

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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
    SequentProof
  2. abstract def canEqual(that: Any): Boolean

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    Definition Classes
    Equals
  3. abstract def conclusion: Sequent[HOLFormula]

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    The conclusion of the rule.

    The conclusion of the rule.

    Definition Classes
    SequentProof
  4. abstract def leftSubProof: LKProof

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    The immediate left subproof of the rule.

  5. abstract 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
    SequentProof
  6. abstract def occConnectors: Seq[OccConnector[HOLFormula]]

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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
    SequentProof
  7. abstract def productArity: Int

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    Definition Classes
    Product
  8. abstract def productElement(n: Int): Any

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    Definition Classes
    Product
  9. abstract def rightSubProof: LKProof

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    The immediate right subproof of the rule.

Concrete 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 BinaryLKProof to any2stringadd[BinaryLKProof] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (BinaryLKProof, B)

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    Implicit information
    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

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    Definition Classes
    AnyRef → Any
  6. def LKRuleCreationException(message: String): LKRuleCreationException

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    Definition Classes
    LKProof
  7. final def asInstanceOf[T0]: T0

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

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

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    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

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    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]

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    The end-sequent of the rule.

    The end-sequent of the rule.

    Definition Classes
    LKProof
  13. def ensuring(cond: (BinaryLKProof) ⇒ Boolean, msg: ⇒ Any): BinaryLKProof

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    Implicit information
    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

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    Implicit information
    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

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    Implicit information
    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

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    Implicit information
    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

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    Definition Classes
    AnyRef
  18. def equals(that: Any): Boolean

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    Definition Classes
    DagProof → Equals → AnyRef → Any
  19. def finalize(): Unit

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

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    Implicit information
    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[_]

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    Definition Classes
    AnyRef → Any
  22. def getLeftOccConnector: OccConnector[HOLFormula]

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    The object connecting the lower and left upper sequents.

  23. def getRightOccConnector: OccConnector[HOLFormula]

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    The object connecting the lower and right upper sequents.

  24. val hashCode: Int

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    Definition Classes
    DagProof → AnyRef → Any
  25. def immediateSubProofs: Seq[LKProof]

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    The immediate subproofs of this rule.

    The immediate subproofs of this rule.

    Definition Classes
    BinaryLKProofDagProof
  26. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any
  27. def leftPremise: Sequent[HOLFormula]

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    The left upper sequent of the rule.

  28. def longName: String

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    The name of this rule (in words).

    The name of this rule (in words).

    Definition Classes
    DagProof
  29. 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
  30. def name: String

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    The name of this rule (in symbols).

    The name of this rule (in symbols).

    Definition Classes
    DagProof
  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 premises: Seq[Sequent[HOLFormula]]

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    The upper sequents of the rule.

    The upper sequents of the rule.

    Definition Classes
    SequentProof
  35. def productIterator: Iterator[Any]

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    Definition Classes
    Product
  36. def productPrefix: String

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    Definition Classes
    Product
  37. def rightPremise: Sequent[HOLFormula]

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    The right upper sequent of the rule.

  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 (transitive) sub-proofs including this.

    Set of all (transitive) 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 treeLike: TreeLikeOps[LKProof]

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    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

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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
  44. final def wait(): Unit

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

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

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

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    Implicit information
    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