c

algebra.instances

SetLattice

class SetLattice[A] extends GenBool[Set[A]]

Source
set.scala
Linear Supertypes
GenBool[Set[A]], BoundedJoinSemilattice[Set[A]], DistributiveLattice[Set[A]], Lattice[Set[A]], MeetSemilattice[Set[A]], JoinSemilattice[Set[A]], Serializable, Serializable, AnyRef, Any
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. SetLattice
  2. GenBool
  3. BoundedJoinSemilattice
  4. DistributiveLattice
  5. Lattice
  6. MeetSemilattice
  7. JoinSemilattice
  8. Serializable
  9. Serializable
  10. AnyRef
  11. Any
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Visibility
  1. Public
  2. All

Instance Constructors

  1. new SetLattice()

Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##(): Int
    Definition Classes
    AnyRef → Any
  3. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  4. def and(lhs: Set[A], rhs: Set[A]): Set[A]
    Definition Classes
    SetLatticeGenBool
  5. def asBoolRing: BoolRng[Set[A]]

    Every generalized Boolean algebra is also a BoolRng, with multiplication defined as and and addition defined as xor.

    Every generalized Boolean algebra is also a BoolRng, with multiplication defined as and and addition defined as xor.

    Definition Classes
    GenBool
  6. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  7. def clone(): AnyRef
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... ) @native() @HotSpotIntrinsicCandidate()
  8. def dual: Lattice[Set[A]]

    This is the lattice with meet and join swapped

    This is the lattice with meet and join swapped

    Definition Classes
    Lattice
  9. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  10. def equals(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  11. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  12. def hashCode(): Int
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  13. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  14. def isZero(a: Set[A])(implicit ev: Eq[Set[A]]): Boolean
    Definition Classes
    BoundedJoinSemilattice
  15. def join(a: Set[A], b: Set[A]): Set[A]
    Definition Classes
    GenBoolJoinSemilattice
  16. def joinPartialOrder(implicit ev: Eq[Set[A]]): PartialOrder[Set[A]]
    Definition Classes
    JoinSemilattice
  17. def joinSemilattice: BoundedSemilattice[Set[A]]
  18. def meet(a: Set[A], b: Set[A]): Set[A]
    Definition Classes
    GenBoolMeetSemilattice
  19. def meetPartialOrder(implicit ev: Eq[Set[A]]): PartialOrder[Set[A]]
    Definition Classes
    MeetSemilattice
  20. def meetSemilattice: Semilattice[Set[A]]
    Definition Classes
    MeetSemilattice
  21. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  22. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  23. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  24. def or(lhs: Set[A], rhs: Set[A]): Set[A]
    Definition Classes
    SetLatticeGenBool
  25. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  26. def toString(): String
    Definition Classes
    AnyRef → Any
  27. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  28. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... ) @native()
  29. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  30. def without(lhs: Set[A], rhs: Set[A]): Set[A]

    The operation of relative complement, symbolically often denoted a\b (the symbol for set-theoretic difference, which is the meaning of relative complement in the lattice of sets).

    The operation of relative complement, symbolically often denoted a\b (the symbol for set-theoretic difference, which is the meaning of relative complement in the lattice of sets).

    Definition Classes
    SetLatticeGenBool
  31. def xor(a: Set[A], b: Set[A]): Set[A]

    Logical exclusive or, set-theoretic symmetric difference.

    Logical exclusive or, set-theoretic symmetric difference. Defined as a\b ∨ b\a.

    Definition Classes
    GenBool
  32. def zero: Set[A]
    Definition Classes
    SetLatticeBoundedJoinSemilattice

Deprecated Value Members

  1. def finalize(): Unit
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] ) @Deprecated @deprecated
    Deprecated

    (Since version ) see corresponding Javadoc for more information.

Inherited from GenBool[Set[A]]

Inherited from BoundedJoinSemilattice[Set[A]]

Inherited from DistributiveLattice[Set[A]]

Inherited from Lattice[Set[A]]

Inherited from MeetSemilattice[Set[A]]

Inherited from JoinSemilattice[Set[A]]

Inherited from Serializable

Inherited from Serializable

Inherited from AnyRef

Inherited from Any

Ungrouped