t

gapt.proofs.expansion

ExpansionTree

trait ExpansionTree extends DagProof[ExpansionTree]

A tree collecting instances of a formula. See, e.g., M. Baaz, S. Hetzl, D. Weller: On the complexity of proof deskolemization, Journal of Symbolic Logic, 77(2), 2012 for a formulation close to the one implemented here.

Source
expansionTrees.scala
Linear Supertypes
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Inherited
  1. ExpansionTree
  2. DagProof
  3. Product
  4. Equals
  5. AnyRef
  6. Any
Implicitly
  1. by any2stringadd
  2. by StringFormat
  3. by Ensuring
  4. by ArrowAssoc
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Visibility
  1. Public
  2. All

Abstract Value Members

  1. abstract def canEqual(that: Any): Boolean
    Definition Classes
    Equals
  2. abstract def deep: Formula

    The formula represented by this tree, fully instantiated.

  3. abstract def immediateSubProofs: Seq[ExpansionTree]

    The immediate subproofs of this rule.

    The immediate subproofs of this rule.

    Definition Classes
    DagProof
  4. abstract def polarity: Polarity
  5. abstract def productArity: Int
    Definition Classes
    Product
  6. abstract def productElement(n: Int): Any
    Definition Classes
    Product
  7. abstract def shallow: Formula

    The formula represented by this tree.

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 ExpansionTree to any2stringadd[ExpansionTree] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (ExpansionTree, B)
    Implicit
    This member is added by an implicit conversion from ExpansionTree to ArrowAssoc[ExpansionTree] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @inline()
  5. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  6. def apply(pos: HOLPosition): Set[ExpansionTree]
  7. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  8. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )
  9. def dagLike: DagLikeOps[ExpansionTree]

    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
  10. 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
  11. def ensuring(cond: (ExpansionTree) ⇒ Boolean, msg: ⇒ Any): ExpansionTree
    Implicit
    This member is added by an implicit conversion from ExpansionTree to Ensuring[ExpansionTree] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  12. def ensuring(cond: (ExpansionTree) ⇒ Boolean): ExpansionTree
    Implicit
    This member is added by an implicit conversion from ExpansionTree to Ensuring[ExpansionTree] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  13. def ensuring(cond: Boolean, msg: ⇒ Any): ExpansionTree
    Implicit
    This member is added by an implicit conversion from ExpansionTree to Ensuring[ExpansionTree] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  14. def ensuring(cond: Boolean): ExpansionTree
    Implicit
    This member is added by an implicit conversion from ExpansionTree to Ensuring[ExpansionTree] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  15. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  16. def equals(that: Any): Boolean
    Definition Classes
    DagProof → Equals → AnyRef → Any
  17. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  18. def formatted(fmtstr: String): String
    Implicit
    This member is added by an implicit conversion from ExpansionTree to StringFormat[ExpansionTree] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @inline()
  19. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  20. val hashCode: Int
    Definition Classes
    DagProof
  21. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  22. def longName: String

    The name of this rule (in words).

    The name of this rule (in words).

    Definition Classes
    DagProof
  23. def name: String

    The name of this rule (in symbols).

    The name of this rule (in symbols).

    Definition Classes
    DagProof
  24. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  25. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  26. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  27. def productIterator: Iterator[Any]
    Definition Classes
    Product
  28. def productPrefix: String
    Definition Classes
    Product
  29. def stepString(subProofLabels: Map[Any, String]): String
    Attributes
    protected
    Definition Classes
    DagProof
  30. def subProofAt(pos: List[Int]): ExpansionTree

    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
  31. def subProofs: Set[ExpansionTree]

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

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

    Definition Classes
    DagProof
  32. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  33. def toSigRelativeString(implicit sig: BabelSignature): String
  34. def toString(): String
    Definition Classes
    ExpansionTreeDagProof → AnyRef → Any
  35. def treeLike: TreeLikeOps[ExpansionTree]

    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
  36. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  37. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  38. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )
  39. def [B](y: B): (ExpansionTree, B)
    Implicit
    This member is added by an implicit conversion from ExpansionTree to ArrowAssoc[ExpansionTree] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc

Inherited from DagProof[ExpansionTree]

Inherited from Product

Inherited from Equals

Inherited from AnyRef

Inherited from Any

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

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

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

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

Ungrouped