Packages

trait LatticeElement[L] extends Order[L] with Monoid[L] with Show[L]

We define here some domains that can will be useful to build a lattice for most languages.

Linear Supertypes
Show[L], Monoid[L], Semigroup[L], Order[L], Equal[L], AnyRef, Any
Known Subclasses
BoolLattice, CharLattice, BaseInstance, BaseInstance, IntLattice, RealLattice, StringLattice, SymbolLattice, BaseInstance
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. LatticeElement
  2. Show
  3. Monoid
  4. Semigroup
  5. Order
  6. Equal
  7. AnyRef
  8. Any
Implicitly
  1. by any2stringadd
  2. by StringFormat
  3. by Ensuring
  4. by ArrowAssoc
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  2. Show All
Visibility
  1. Public
  2. All

Type Members

  1. trait EqualLaw extends AnyRef
    Definition Classes
    Equal
  2. trait LatticeElementLaw extends MonoidLaw with OrderLaw
  3. trait MonoidLaw extends scalaz.Monoid.SemigroupLaw
    Definition Classes
    Monoid
  4. trait OrderLaw extends scalaz.Order.EqualLaw
    Definition Classes
    Order
  5. trait SemigroupApply extends Apply[[α]F]
    Attributes
    protected[this]
    Definition Classes
    Semigroup
  6. trait SemigroupCompose extends Compose[[α, β]F]
    Attributes
    protected[this]
    Definition Classes
    Semigroup
  7. trait SemigroupLaw extends AnyRef
    Definition Classes
    Semigroup

Abstract Value Members

  1. abstract def bottom: L

    The bottom element

  2. abstract def cardinality(x: L): Cardinality
  3. abstract def eql[B](x: L, y: L)(implicit arg0: BoolLattice[B]): B

    Equality check, returning an abstract result

  4. abstract def join(x: L, y: ⇒ L): L

    The join operation

  5. abstract def name: String

    The name of the lattice

  6. abstract def order(x: L, y: L): Ordering
    Definition Classes
    Order
  7. abstract def subsumes(x: L, y: ⇒ L): Boolean

    The subsumption relation that defines the ordering of elements

  8. abstract def top: L

    The top element.

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 LatticeElement[L] to any2stringadd[LatticeElement[L]] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (LatticeElement[L], B)
    Implicit
    This member is added by an implicit conversion from LatticeElement[L] to ArrowAssoc[LatticeElement[L]] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @inline()
  5. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  6. final def append(x: L, y: ⇒ L): L
    Definition Classes
    LatticeElement → Semigroup
  7. final def applicative: Applicative[[α]L]
    Definition Classes
    Monoid
  8. final def apply: Apply[[α]L]
    Definition Classes
    Semigroup
  9. def apply(x: L, y: L): Ordering
    Definition Classes
    Order
  10. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  11. final def category: Category[[α, β]L]
    Definition Classes
    Monoid
  12. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate() @throws( ... )
  13. final def compose: Compose[[α, β]L]
    Definition Classes
    Semigroup
  14. def contramap[B](f: (B) ⇒ L): Order[B]
    Definition Classes
    Order → Equal
  15. def ensuring(cond: (LatticeElement[L]) ⇒ Boolean, msg: ⇒ Any): LatticeElement[L]
    Implicit
    This member is added by an implicit conversion from LatticeElement[L] to Ensuring[LatticeElement[L]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  16. def ensuring(cond: (LatticeElement[L]) ⇒ Boolean): LatticeElement[L]
    Implicit
    This member is added by an implicit conversion from LatticeElement[L] to Ensuring[LatticeElement[L]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  17. def ensuring(cond: Boolean, msg: ⇒ Any): LatticeElement[L]
    Implicit
    This member is added by an implicit conversion from LatticeElement[L] to Ensuring[LatticeElement[L]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  18. def ensuring(cond: Boolean): LatticeElement[L]
    Implicit
    This member is added by an implicit conversion from LatticeElement[L] to Ensuring[LatticeElement[L]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  19. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  20. def equal(x: L, y: L): Boolean
    Definition Classes
    Order → Equal
  21. def equalIsNatural: Boolean
    Definition Classes
    Equal
  22. def equalLaw: EqualLaw
    Definition Classes
    Equal
  23. val equalSyntax: EqualSyntax[L]
    Definition Classes
    Equal
  24. def equals(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  25. def formatted(fmtstr: String): String
    Implicit
    This member is added by an implicit conversion from LatticeElement[L] to StringFormat[LatticeElement[L]] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @inline()
  26. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  27. def greaterThan(x: L, y: L): Boolean
    Definition Classes
    Order
  28. def greaterThanOrEqual(x: L, y: L): Boolean
    Definition Classes
    Order
  29. def hashCode(): Int
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  30. final def ifEmpty[B](a: L)(t: ⇒ B)(f: ⇒ B)(implicit eq: Equal[L]): B
    Definition Classes
    Monoid
  31. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  32. def isMZero(a: L)(implicit eq: Equal[L]): Boolean
    Definition Classes
    Monoid
  33. def latticeElementLaw: LatticeElementLaw
  34. def lessThan(x: L, y: L): Boolean
    Definition Classes
    Order
  35. def lessThanOrEqual(x: L, y: L): Boolean
    Definition Classes
    Order
  36. def max(x: L, y: L): L
    Definition Classes
    Order
  37. def min(x: L, y: L): L
    Definition Classes
    Order
  38. def monoidLaw: MonoidLaw
    Definition Classes
    Monoid
  39. val monoidSyntax: MonoidSyntax[L]
    Definition Classes
    Monoid
  40. def multiply(value: L, n: Int): L
    Definition Classes
    Monoid
  41. def multiply1(value: L, n: Int): L
    Definition Classes
    Semigroup
  42. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  43. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  44. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  45. final def onEmpty[A, B](a: L)(v: ⇒ B)(implicit eq: Equal[L], mb: Monoid[B]): B
    Definition Classes
    Monoid
  46. final def onNotEmpty[B](a: L)(v: ⇒ B)(implicit eq: Equal[L], mb: Monoid[B]): B
    Definition Classes
    Monoid
  47. def orderLaw: OrderLaw
    Definition Classes
    Order
  48. val orderSyntax: OrderSyntax[L]
    Definition Classes
    Order
  49. def reverseOrder: Order[L]
    Definition Classes
    Order
  50. def semigroupLaw: SemigroupLaw
    Definition Classes
    Semigroup
  51. val semigroupSyntax: SemigroupSyntax[L]
    Definition Classes
    Semigroup
  52. def show(f: L): Cord
    Definition Classes
    Show
  53. val showSyntax: ShowSyntax[L]
    Definition Classes
    Show
  54. def shows(f: L): String
    Definition Classes
    Show
  55. def sort(x: L, y: L): (L, L)
    Definition Classes
    Order
  56. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  57. def toScalaOrdering: Ordering[L]
    Definition Classes
    Order
  58. def toString(): String
    Definition Classes
    AnyRef → Any
  59. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  60. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )
  61. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  62. final def zero: L
    Definition Classes
    LatticeElement → Monoid
  63. def →[B](y: B): (LatticeElement[L], B)
    Implicit
    This member is added by an implicit conversion from LatticeElement[L] to ArrowAssoc[LatticeElement[L]] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc

Deprecated Value Members

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

    (Since version ) see corresponding Javadoc for more information.

Inherited from Show[L]

Inherited from Monoid[L]

Inherited from Semigroup[L]

Inherited from Order[L]

Inherited from Equal[L]

Inherited from AnyRef

Inherited from Any

Inherited by implicit conversion any2stringadd from LatticeElement[L] to any2stringadd[LatticeElement[L]]

Inherited by implicit conversion StringFormat from LatticeElement[L] to StringFormat[LatticeElement[L]]

Inherited by implicit conversion Ensuring from LatticeElement[L] to Ensuring[LatticeElement[L]]

Inherited by implicit conversion ArrowAssoc from LatticeElement[L] to ArrowAssoc[LatticeElement[L]]

Ungrouped