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
  • package scalahott
    Definition Classes
    provingground
  • object ListType
    Definition Classes
    scalahott
  • ListRep
  • ListTerm
  • ListTyp

case class ListRep[U <: Term with Subs[U]](elemTyp: Typ[U]) extends ScalaRep[Term, List[U]] with Product with Serializable

Linear Supertypes
Serializable, Product, Equals, ScalaRep[Term, List[U]], AnyRef, Any
Type Hierarchy
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. ListRep
  2. Serializable
  3. Product
  4. Equals
  5. ScalaRep
  6. AnyRef
  7. Any
Implicitly
  1. by ScalaTerm
  2. by any2stringadd
  3. by StringFormat
  4. by Ensuring
  5. by ArrowAssoc
  1. Hide All
  2. Show All
Visibility
  1. Public
  2. Protected

Instance Constructors

  1. new ListRep(elemTyp: Typ[U])

Type Members

  1. type tpe = List[U]

    scala type of representing object.

    scala type of representing object.

    Definition Classes
    ScalaRep

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 ListRep[U] toany2stringadd[ListRep[U]] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ++[UU >: Term <: Term with Subs[UU], X <: Term with Subs[X], Y](codrepfmly: (List[U]) => ScalaRep[X, Y]): SigmaRep[UU, List[U], X, Y]

    scalarep for sum type.

    scalarep for sum type.

    Definition Classes
    ScalaRep
  5. def -->:[W <: Term with Subs[W], X, UU >: Term <: Term with Subs[UU]](that: ScalaRep[W, X]): FuncRep[W, X, UU, List[U]]

    scalarep for function

    scalarep for function

    Definition Classes
    ScalaRep
  6. def ->[B](y: B): (ListRep[U], B)
    Implicit
    This member is added by an implicit conversion from ListRep[U] toArrowAssoc[ListRep[U]] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @inline()
  7. def :-->[W <: Term with Subs[W], UU >: Term <: Term with Subs[UU]](that: Typ[W]): FuncRep[UU, List[U], W, W]
    Definition Classes
    ScalaRep
  8. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  9. def apply(l: List[U]): ListTerm[U]

    HoTT object from the scala one.

    HoTT object from the scala one.

    Definition Classes
    ListRepScalaRep
  10. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  11. def clone(): AnyRef
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.CloneNotSupportedException]) @native() @HotSpotIntrinsicCandidate()
  12. val elemTyp: Typ[U]
  13. def ensuring(cond: (ListRep[U]) => Boolean, msg: => Any): ListRep[U]
    Implicit
    This member is added by an implicit conversion from ListRep[U] toEnsuring[ListRep[U]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  14. def ensuring(cond: (ListRep[U]) => Boolean): ListRep[U]
    Implicit
    This member is added by an implicit conversion from ListRep[U] toEnsuring[ListRep[U]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  15. def ensuring(cond: Boolean, msg: => Any): ListRep[U]
    Implicit
    This member is added by an implicit conversion from ListRep[U] toEnsuring[ListRep[U]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  16. def ensuring(cond: Boolean): ListRep[U]
    Implicit
    This member is added by an implicit conversion from ListRep[U] toEnsuring[ListRep[U]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  17. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  18. def formatted(fmtstr: String): String
    Implicit
    This member is added by an implicit conversion from ListRep[U] toStringFormat[ListRep[U]] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @inline()
  19. final def getClass(): Class[_ <: AnyRef]
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  20. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  21. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  22. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  23. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  24. def productElementNames: Iterator[String]
    Definition Classes
    Product
  25. def subs(x: Term, y: Term): ListRep[U]
    Definition Classes
    ListRepScalaRep
  26. final def synchronized[T0](arg0: => T0): T0
    Definition Classes
    AnyRef
  27. def term: U
    Implicit
    This member is added by an implicit conversion from ListRep[U] toScalaTerm[U, ListRep[U]] performed by method ScalaTerm in provingground.scalahott.ScalaRep.This conversion will take place only if an implicit value of type ScalaRep[U, ListRep[U]] is in scope.
    Definition Classes
    ScalaTerm
  28. val typ: ListTyp[U]

    HoTT type represented.

    HoTT type represented.

    Definition Classes
    ListRepScalaRep
  29. def unapply(u: Term): Option[List[U]]

    pattern for matching application of the scala object.

    pattern for matching application of the scala object.

    Definition Classes
    ListRepScalaRep
  30. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  31. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException]) @native()
  32. 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
  2. def [B](y: B): (ListRep[U], B)
    Implicit
    This member is added by an implicit conversion from ListRep[U] toArrowAssoc[ListRep[U]] 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 Serializable

Inherited from Product

Inherited from Equals

Inherited from ScalaRep[Term, List[U]]

Inherited from AnyRef

Inherited from Any

Inherited by implicit conversion ScalaTerm fromListRep[U] to ScalaTerm[U, ListRep[U]]

Inherited by implicit conversion any2stringadd fromListRep[U] to any2stringadd[ListRep[U]]

Inherited by implicit conversion StringFormat fromListRep[U] to StringFormat[ListRep[U]]

Inherited by implicit conversion Ensuring fromListRep[U] to Ensuring[ListRep[U]]

Inherited by implicit conversion ArrowAssoc fromListRep[U] to ArrowAssoc[ListRep[U]]

Ungrouped