Trait

ap.algebra

Monoid

Related Doc: package algebra

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trait Monoid extends Semigroup

Monoids are semigroups with a neutral element (or zero)

Linear Supertypes
Semigroup, AnyRef, Any
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Abstract Value Members

  1. abstract val dom: Sort

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    Domain of the semigroup

    Domain of the semigroup

    Definition Classes
    Semigroup
  2. abstract def identity: ITerm

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    The neutral element of this monoid

  3. abstract def op(s: ITerm, t: ITerm): ITerm

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    Binary operation of the semigroup

    Binary operation of the semigroup

    Definition Classes
    Semigroup

Concrete Value Members

  1. final def !=(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any
  2. final def ##(): Int

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    Definition Classes
    AnyRef → Any
  3. final def ==(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any
  4. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any
  5. def clone(): AnyRef

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  6. final def eq(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef
  7. def equals(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any
  8. def finalize(): Unit

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  9. final def getClass(): Class[_]

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    Definition Classes
    AnyRef → Any
  10. def hashCode(): Int

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    Definition Classes
    AnyRef → Any
  11. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any
  12. final def ne(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef
  13. final def notify(): Unit

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    Definition Classes
    AnyRef
  14. final def notifyAll(): Unit

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    Definition Classes
    AnyRef
  15. final def synchronized[T0](arg0: ⇒ T0): T0

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    Definition Classes
    AnyRef
  16. def times(num: IdealInt, s: ITerm): ITerm

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    num * s, for n >= 0

    num * s, for n >= 0

    Definition Classes
    MonoidSemigroup
  17. def toString(): String

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    Definition Classes
    Semigroup → AnyRef → Any
  18. final def wait(): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  19. final def wait(arg0: Long, arg1: Int): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  20. final def wait(arg0: Long): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

Inherited from Semigroup

Inherited from AnyRef

Inherited from Any

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