Trait

ap.algebra

RingWithOrder

Related Doc: package algebra

Permalink

trait RingWithOrder extends PseudoRing

Rings that also possess an ordering relation

Linear Supertypes
PseudoRing, AnyRef, Any
Known Subclasses
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. RingWithOrder
  2. PseudoRing
  3. AnyRef
  4. Any
  1. Hide All
  2. Show All
Visibility
  1. Public
  2. All

Abstract Value Members

  1. abstract val dom: Sort

    Permalink

    Domain of the ring

    Domain of the ring

    Definition Classes
    PseudoRing
  2. abstract def int2ring(s: ITerm): ITerm

    Permalink

    Conversion of an integer term to a ring term

    Conversion of an integer term to a ring term

    Definition Classes
    PseudoRing
  3. abstract def leq(s: ITerm, t: ITerm): IFormula

    Permalink

    Less-than-or-equal operator

  4. abstract def lt(s: ITerm, t: ITerm): IFormula

    Permalink

    Less-than operator

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

    Permalink

    Additive inverses

    Additive inverses

    Definition Classes
    PseudoRing
  6. abstract def mul(s: ITerm, t: ITerm): ITerm

    Permalink

    Ring multiplication

    Ring multiplication

    Definition Classes
    PseudoRing
  7. abstract def one: ITerm

    Permalink

    The one element of this ring

    The one element of this ring

    Definition Classes
    PseudoRing
  8. abstract def plus(s: ITerm, t: ITerm): ITerm

    Permalink

    Ring addition

    Ring addition

    Definition Classes
    PseudoRing
  9. abstract def zero: ITerm

    Permalink

    The zero element of this ring

    The zero element of this ring

    Definition Classes
    PseudoRing

Concrete Value Members

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

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

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

    Permalink
    Definition Classes
    AnyRef → Any
  4. def additiveGroup: Group with Abelian with SymbolicTimes

    Permalink

    Addition gives rise to an Abelian group

    Addition gives rise to an Abelian group

    Definition Classes
    PseudoRing
  5. final def asInstanceOf[T0]: T0

    Permalink
    Definition Classes
    Any
  6. def clone(): AnyRef

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

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

    Permalink
    Definition Classes
    AnyRef → Any
  9. def geq(s: ITerm, t: ITerm): IFormula

    Permalink

    Greater-than-or-equal operator

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

    Permalink
    Definition Classes
    AnyRef → Any
    Annotations
    @HotSpotIntrinsicCandidate()
  11. def gt(s: ITerm, t: ITerm): IFormula

    Permalink

    Greater-than operator

  12. def hashCode(): Int

    Permalink
    Definition Classes
    AnyRef → Any
    Annotations
    @HotSpotIntrinsicCandidate()
  13. final def isInstanceOf[T0]: Boolean

    Permalink
    Definition Classes
    Any
  14. def minus(s: ITerm, t: ITerm): ITerm

    Permalink

    Difference between two terms

    Difference between two terms

    Definition Classes
    PseudoRing
  15. final def ne(arg0: AnyRef): Boolean

    Permalink
    Definition Classes
    AnyRef
  16. final def notify(): Unit

    Permalink
    Definition Classes
    AnyRef
    Annotations
    @HotSpotIntrinsicCandidate()
  17. final def notifyAll(): Unit

    Permalink
    Definition Classes
    AnyRef
    Annotations
    @HotSpotIntrinsicCandidate()
  18. def product(terms: ITerm*): ITerm

    Permalink

    N-ary sums

    N-ary sums

    Definition Classes
    PseudoRing
  19. def summation(terms: ITerm*): ITerm

    Permalink

    N-ary sums

    N-ary sums

    Definition Classes
    PseudoRing
  20. final def synchronized[T0](arg0: ⇒ T0): T0

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

    Permalink

    num * s

    num * s

    Definition Classes
    PseudoRing
  22. def toString(): String

    Permalink
    Definition Classes
    PseudoRing → AnyRef → Any
  23. final def wait(arg0: Long, arg1: Int): Unit

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

    Permalink
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  25. final def wait(): Unit

    Permalink
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

Deprecated Value Members

  1. def finalize(): Unit

    Permalink
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @Deprecated @deprecated @throws( classOf[java.lang.Throwable] )
    Deprecated

    (Since version ) see corresponding Javadoc for more information.

Inherited from PseudoRing

Inherited from AnyRef

Inherited from Any

Ungrouped