Packages

  • package root
    Definition Classes
    root
  • package provingground

    This is work towards automated theorem proving based on learning, using homotopy type theory (HoTT) as foundations and natural language processing.

    This is work towards automated theorem proving based on learning, using homotopy type theory (HoTT) as foundations and natural language processing.

    The implementation of homotopy type theory is split into:

    • the object HoTT with terms, types, functions and dependent functions, pairs etc
    • the package induction with general inductive types and recursion/induction on these.

    The learning package has the code for learning.

    Scala code, including the spire library, is integrated with homotopy type theory in the scalahott package

    We have implemented a functor based approach to translation in the translation package, used for nlp as well as serialization and parsing.

    The library package is contains basic structures implemented in HoTT.

    Definition Classes
    root
  • object LinearStructure extends Serializable
    Definition Classes
    provingground
  • VectorOps

implicit class VectorOps[A] extends AnyRef

Linear Supertypes
AnyRef, Any
Type Hierarchy
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Inherited
  1. VectorOps
  2. AnyRef
  3. Any
Implicitly
  1. by VectorOps
  2. by any2stringadd
  3. by StringFormat
  4. by Ensuring
  5. by ArrowAssoc
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Visibility
  1. Public
  2. Protected

Instance Constructors

  1. new VectorOps(a: A)(implicit arg0: LinearStructure[A])

Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##: Int
    Definition Classes
    AnyRef → Any
  3. def +(other: String): String
    Implicit
    This member is added by an implicit conversion from VectorOps[A] toany2stringadd[VectorOps[A]] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (VectorOps[A], B)
    Implicit
    This member is added by an implicit conversion from VectorOps[A] toArrowAssoc[VectorOps[A]] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @inline()
  5. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  6. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  7. def clone(): AnyRef
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.CloneNotSupportedException]) @native() @HotSpotIntrinsicCandidate()
  8. def ensuring(cond: (VectorOps[A]) => Boolean, msg: => Any): VectorOps[A]
    Implicit
    This member is added by an implicit conversion from VectorOps[A] toEnsuring[VectorOps[A]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  9. def ensuring(cond: (VectorOps[A]) => Boolean): VectorOps[A]
    Implicit
    This member is added by an implicit conversion from VectorOps[A] toEnsuring[VectorOps[A]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  10. def ensuring(cond: Boolean, msg: => Any): VectorOps[A]
    Implicit
    This member is added by an implicit conversion from VectorOps[A] toEnsuring[VectorOps[A]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  11. def ensuring(cond: Boolean): VectorOps[A]
    Implicit
    This member is added by an implicit conversion from VectorOps[A] toEnsuring[VectorOps[A]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  12. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  13. def equals(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef → Any
  14. def formatted(fmtstr: String): String
    Implicit
    This member is added by an implicit conversion from VectorOps[A] toStringFormat[VectorOps[A]] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @inline()
  15. final def getClass(): Class[_ <: AnyRef]
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  16. def hashCode(): Int
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  17. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  18. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  19. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  20. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  21. final def synchronized[T0](arg0: => T0): T0
    Definition Classes
    AnyRef
  22. def toString(): String
    Definition Classes
    AnyRef → Any
  23. val vs: LinearStructure[A]
  24. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  25. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException]) @native()
  26. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  27. def |*|(c: Double): A
  28. def |+|(b: A): A

Shadowed Implicit Value Members

  1. val vs: LinearStructure[VectorOps[A]]
    Implicit
    This member is added by an implicit conversion from VectorOps[A] toVectorOps[VectorOps[A]] performed by method VectorOps in provingground.LinearStructure.This conversion will take place only if an implicit value of type LinearStructure[VectorOps[A]] is in scope.
    Shadowing
    This implicitly inherited member is shadowed by one or more members in this class.
    To access this member you can use a type ascription:
    (vectorOps: VectorOps[VectorOps[A]]).vs
  2. def |*|(c: Double): VectorOps[A]
    Implicit
    This member is added by an implicit conversion from VectorOps[A] toVectorOps[VectorOps[A]] performed by method VectorOps in provingground.LinearStructure.This conversion will take place only if an implicit value of type LinearStructure[VectorOps[A]] is in scope.
    Shadowing
    This implicitly inherited member is shadowed by one or more members in this class.
    To access this member you can use a type ascription:
    (vectorOps: VectorOps[VectorOps[A]]).|*|(c)
  3. def |+|(b: VectorOps[A]): VectorOps[A]
    Implicit
    This member is added by an implicit conversion from VectorOps[A] toVectorOps[VectorOps[A]] performed by method VectorOps in provingground.LinearStructure.This conversion will take place only if an implicit value of type LinearStructure[VectorOps[A]] is in scope.
    Shadowing
    This implicitly inherited member is shadowed by one or more members in this class.
    To access this member you can use a type ascription:
    (vectorOps: VectorOps[VectorOps[A]]).|+|(b)

Deprecated Value Members

  1. def finalize(): Unit
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.Throwable]) @Deprecated
    Deprecated
  2. def →[B](y: B): (VectorOps[A], B)
    Implicit
    This member is added by an implicit conversion from VectorOps[A] toArrowAssoc[VectorOps[A]] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @deprecated
    Deprecated

    (Since version 2.13.0) Use -> instead. If you still wish to display it as one character, consider using a font with programming ligatures such as Fira Code.

Inherited from AnyRef

Inherited from Any

Inherited by implicit conversion VectorOps fromVectorOps[A] to VectorOps[VectorOps[A]]

Inherited by implicit conversion any2stringadd fromVectorOps[A] to any2stringadd[VectorOps[A]]

Inherited by implicit conversion StringFormat fromVectorOps[A] to StringFormat[VectorOps[A]]

Inherited by implicit conversion Ensuring fromVectorOps[A] to Ensuring[VectorOps[A]]

Inherited by implicit conversion ArrowAssoc fromVectorOps[A] to ArrowAssoc[VectorOps[A]]

Ungrouped