case class SetFilter[A](a: A) extends Monoid[Set[A]] with Product with Serializable
A set-filtering monoid.
Given an element a
of the domain, the identity element is {a}
and the
subgroup operation is S * T = { S if ¬(a ∈ S); (S - {a}) ∪ T if a ∈ S }
- a
the zero element
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Instance Constructors
-
new
SetFilter(a: A)
create a SetFilter over element a
create a SetFilter over element a
- a
the zero element
Value Members
-
final
def
!=(arg0: Any): Boolean
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final
def
##(): Int
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final
def
==(arg0: Any): Boolean
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- val a: A
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def
apply(s: Set[A])(t: Set[A]): Set[A]
The associative binary operation of the subgroup
-
final
def
asInstanceOf[T0]: T0
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def
clone(): AnyRef
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final
def
eq(arg0: AnyRef): Boolean
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def
finalize(): Unit
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def
getClass(): Class[_]
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def
isInstanceOf[T0]: Boolean
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ne(arg0: AnyRef): Boolean
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notify(): Unit
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notifyAll(): Unit
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def
synchronized[T0](arg0: ⇒ T0): T0
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wait(arg0: Long, arg1: Int): Unit
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def
wait(arg0: Long): Unit
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def
zero: Set[A]
The identity element