Trait

ap.algebra

PseudoRing

Related Doc: package algebra

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trait PseudoRing extends AnyRef

A Pseudo-ring is a structure with the same operations as a ring, but no guarantee that multiplication satisfies the ring axioms

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Abstract Value Members

  1. abstract val dom: Sort

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    Domain of the ring

  2. abstract def int2ring(s: ITerm): ITerm

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    Conversion of an integer term to a ring term

  3. abstract def minus(s: ITerm): ITerm

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    Additive inverses

  4. abstract def mul(s: ITerm, t: ITerm): ITerm

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    Ring multiplication

  5. abstract def one: ITerm

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    The one element of this ring

  6. abstract def plus(s: ITerm, t: ITerm): ITerm

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    Ring addition

  7. abstract def zero: ITerm

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    The zero element of this ring

Concrete Value Members

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

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    Definition Classes
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  2. final def ##(): Int

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  3. final def ==(arg0: Any): Boolean

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  4. def additiveGroup: Group with Abelian

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    Addition gives rise to an Abelian group

  5. final def asInstanceOf[T0]: T0

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  6. def clone(): AnyRef

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  7. final def eq(arg0: AnyRef): Boolean

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  8. def equals(arg0: Any): Boolean

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  9. def finalize(): Unit

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  10. final def getClass(): Class[_]

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  11. def hashCode(): Int

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  12. final def isInstanceOf[T0]: Boolean

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  13. def minus(s: ITerm, t: ITerm): ITerm

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    Difference between two terms

  14. final def ne(arg0: AnyRef): Boolean

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  15. final def notify(): Unit

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  16. final def notifyAll(): Unit

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  17. def product(terms: ITerm*): ITerm

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    N-ary sums

  18. def summation(terms: ITerm*): ITerm

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    N-ary sums

  19. final def synchronized[T0](arg0: ⇒ T0): T0

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  20. def times(num: IdealInt, s: ITerm): ITerm

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    num * s

    num * s

  21. def toString(): String

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    Definition Classes
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  22. final def wait(): Unit

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  23. final def wait(arg0: Long, arg1: Int): Unit

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  24. final def wait(arg0: Long): Unit

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