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

Linear Supertypes
AnyRef, Any
Known Subclasses
CommutativePseudoRing, CommutativeRing, EuclidianRing, Field, Fractions, GaloisField, IntegerRing, ModRing, OrderedRing, Rationals, Ring, RingWithDivision, RingWithIntConversions, RingWithOrder, SignedBVRing, UnsignedBVRing
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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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    Definition Classes
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  3. final def ==(arg0: Any): Boolean

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    Definition Classes
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  4. def additiveGroup: Group with Abelian with SymbolicTimes

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    Addition gives rise to an Abelian group

  5. final def asInstanceOf[T0]: T0

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    Definition Classes
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  6. def clone(): AnyRef

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    Attributes
    protected[java.lang]
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    @HotSpotIntrinsicCandidate() @throws( ... )

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

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    Definition Classes
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  8. def equals(arg0: Any): Boolean

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    Definition Classes
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  9. final def getClass(): Class[_]

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    @HotSpotIntrinsicCandidate()

  10. def hashCode(): Int

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    Definition Classes
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    @HotSpotIntrinsicCandidate()

  11. final def isInstanceOf[T0]: Boolean

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    Definition Classes
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  12. def minus(s: ITerm, t: ITerm): ITerm

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    Difference between two terms

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

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    Definition Classes
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  14. final def notify(): Unit

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    @HotSpotIntrinsicCandidate()

  15. final def notifyAll(): Unit

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    @HotSpotIntrinsicCandidate()

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

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    N-ary sums

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

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    N-ary sums

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

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

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    num * s

    num * s

  20. def toString(): String

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    Definition Classes
    PseudoRing → AnyRef → Any

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

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    Definition Classes
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    @throws( ... )

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

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    @throws( ... )

  23. final def wait(): Unit

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    @throws( ... )

Deprecated Value Members

  1. def finalize(): Unit

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    Attributes
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    @Deprecated @deprecated @throws( classOf[java.lang.Throwable] )
    Deprecated

    (Since version ) see corresponding Javadoc for more information.

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