case class ETWeakQuantifier(shallow: Formula, instances: Map[Expr, ExpansionTree]) extends ETQuantifier with Product with Serializable

A tree representing a formula beginning with a weak quantifier, i.e., a positive existential or negative universal.

It has the form Qx.A +t1 E1 + … +tn En, where t1,…,tn are lambda terms of the same type as x and Ei is an expansion tree of A[x\ti].

Its deep formula is E1.deep ∨ … ∨ En.deep (in the case of an existential) or E1.deep ∧ … ∧ En.deep (in the case of a universal).

shallow

The formula Qx.A.

instances

A map containing the pairs t1 → E1,…,tn → En.

Source
expansionTrees.scala
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Inherited
  1. ETWeakQuantifier
  2. Serializable
  3. Serializable
  4. ETQuantifier
  5. ExpansionTree
  6. DagProof
  7. Product
  8. Equals
  9. AnyRef
  10. 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 ETWeakQuantifier(shallow: Formula, instances: Map[Expr, ExpansionTree])

    shallow

    The formula Qx.A.

    instances

    A map containing the pairs t1 → E1,…,tn → En.

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 ETWeakQuantifier to any2stringadd[ETWeakQuantifier] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (ETWeakQuantifier, B)
    Implicit
    This member is added by an implicit conversion from ETWeakQuantifier to ArrowAssoc[ETWeakQuantifier] 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]
    Definition Classes
    ExpansionTree
  7. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  8. val boundVar: Var
  9. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )
  10. 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
  11. def deep: Formula

    The formula represented by this tree, fully instantiated.

    The formula represented by this tree, fully instantiated.

    Definition Classes
    ETWeakQuantifierExpansionTree
  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. def ensuring(cond: (ETWeakQuantifier) ⇒ Boolean, msg: ⇒ Any): ETWeakQuantifier
    Implicit
    This member is added by an implicit conversion from ETWeakQuantifier to Ensuring[ETWeakQuantifier] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  14. def ensuring(cond: (ETWeakQuantifier) ⇒ Boolean): ETWeakQuantifier
    Implicit
    This member is added by an implicit conversion from ETWeakQuantifier to Ensuring[ETWeakQuantifier] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  15. def ensuring(cond: Boolean, msg: ⇒ Any): ETWeakQuantifier
    Implicit
    This member is added by an implicit conversion from ETWeakQuantifier to Ensuring[ETWeakQuantifier] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  16. def ensuring(cond: Boolean): ETWeakQuantifier
    Implicit
    This member is added by an implicit conversion from ETWeakQuantifier to Ensuring[ETWeakQuantifier] 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 ETWeakQuantifier to StringFormat[ETWeakQuantifier] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @inline()
  21. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  22. val hashCode: Int
    Definition Classes
    DagProof
  23. def immediateSubProofs: Seq[ExpansionTree]

    The immediate subproofs of this rule.

    The immediate subproofs of this rule.

    Definition Classes
    ETWeakQuantifierDagProof
  24. val instances: Map[Expr, ExpansionTree]
    Definition Classes
    ETWeakQuantifierETQuantifier
  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 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()
  30. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  31. val polarity: Product with Serializable with Polarity { def unary_!: Product with Serializable with at.logic.gapt.expr.Polarity }
    Definition Classes
    ETWeakQuantifierExpansionTree
  32. def productArity: Int
    Definition Classes
    ETWeakQuantifier → Product
  33. def productElement(n: Int): AnyRef
    Definition Classes
    ETWeakQuantifier → Product
  34. val qfFormula: Formula
  35. val shallow: Formula
    Definition Classes
    ETWeakQuantifierExpansionTree
  36. def stepString(subProofLabels: Map[Any, String]): String
    Attributes
    protected
    Definition Classes
    DagProof
  37. 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
  38. def subProofs: Set[ExpansionTree]

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

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

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

Inherited from Serializable

Inherited from Serializable

Inherited from ETQuantifier

Inherited from ExpansionTree

Inherited from DagProof[ExpansionTree]

Inherited from Product

Inherited from Equals

Inherited from AnyRef

Inherited from Any

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

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

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

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

Ungrouped