Packages

t

ap.algebra

PseudoRing

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, IntegerRing, OrderedRing, Ring, RingWithDivision, RingWithIntConversions, RingWithOrder, GaloisField, ModRing, SignedBVRing, UnsignedBVRing, Fractions, Rationals
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Inherited
  1. PseudoRing
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Visibility
  1. Public
  2. Protected

Abstract Value Members

  1. abstract val dom: Sort

    Domain of the ring

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

    Conversion of an integer term to a ring term

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

    Additive inverses

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

    Ring multiplication

  5. abstract def one: ITerm

    The one element of this ring

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

    Ring addition

  7. abstract def zero: ITerm

    The zero element of this ring

Concrete Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##: Int
    Definition Classes
    AnyRef → Any
  3. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  4. def additiveGroup: Group with Abelian with SymbolicTimes

    Addition gives rise to an Abelian group

  5. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  6. def clone(): AnyRef
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.CloneNotSupportedException]) @HotSpotIntrinsicCandidate() @native()
  7. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  8. def equals(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef → Any
  9. final def getClass(): Class[_ <: AnyRef]
    Definition Classes
    AnyRef → Any
    Annotations
    @HotSpotIntrinsicCandidate() @native()
  10. def hashCode(): Int
    Definition Classes
    AnyRef → Any
    Annotations
    @HotSpotIntrinsicCandidate() @native()
  11. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  12. def minus(s: ITerm, t: ITerm): ITerm

    Difference between two terms

  13. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  14. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @HotSpotIntrinsicCandidate() @native()
  15. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @HotSpotIntrinsicCandidate() @native()
  16. def product(terms: ITerm*): ITerm

    N-ary sums

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

    N-ary sums

  18. final def synchronized[T0](arg0: => T0): T0
    Definition Classes
    AnyRef
  19. def times(num: IdealInt, s: ITerm): ITerm

    num * s

  20. def toString(): String
    Definition Classes
    PseudoRing → AnyRef → Any
  21. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  22. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException]) @native()
  23. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])

Deprecated Value Members

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

    (Since version 9)

Inherited from AnyRef

Inherited from Any

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