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 ListTerm[U <: Term with Subs[U]](value: List[U], elemTyp: Typ[U]) extends ConstTerm[List[U]] with Product with Serializable

Linear Supertypes
Serializable, Product, Equals, ConstTerm[List[U]], Term, Subs[Term], AnyRef, Any
Type Hierarchy
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. ListTerm
  2. Serializable
  3. Product
  4. Equals
  5. ConstTerm
  6. Term
  7. Subs
  8. AnyRef
  9. 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 ListTerm(value: List[U], elemTyp: Typ[U])

Type Members

  1. type scalaType = List[U]
    Definition Classes
    ConstTerm

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 ListTerm[U] toany2stringadd[ListTerm[U]] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (ListTerm[U], B)
    Implicit
    This member is added by an implicit conversion from ListTerm[U] toArrowAssoc[ListTerm[U]] 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 dependsOn(that: Term): Boolean

    returns whether this depends on that

    returns whether this depends on that

    Definition Classes
    Term
  9. val elemTyp: Typ[U]
  10. def ensuring(cond: (ListTerm[U]) => Boolean, msg: => Any): ListTerm[U]
    Implicit
    This member is added by an implicit conversion from ListTerm[U] toEnsuring[ListTerm[U]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  11. def ensuring(cond: (ListTerm[U]) => Boolean): ListTerm[U]
    Implicit
    This member is added by an implicit conversion from ListTerm[U] toEnsuring[ListTerm[U]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  12. def ensuring(cond: Boolean, msg: => Any): ListTerm[U]
    Implicit
    This member is added by an implicit conversion from ListTerm[U] toEnsuring[ListTerm[U]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  13. def ensuring(cond: Boolean): ListTerm[U]
    Implicit
    This member is added by an implicit conversion from ListTerm[U] toEnsuring[ListTerm[U]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  14. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  15. def formatted(fmtstr: String): String
    Implicit
    This member is added by an implicit conversion from ListTerm[U] toStringFormat[ListTerm[U]] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @inline()
  16. final def getClass(): Class[_ <: AnyRef]
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  17. def indepOf(that: Term): Boolean

    returns whether this is independent of that.

    returns whether this is independent of that.

    Definition Classes
    Term
  18. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  19. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  20. def newobj: ConstTerm[List[U]]

    A new object with the same type, to be used in place of a variable to avoid name clashes.

    A new object with the same type, to be used in place of a variable to avoid name clashes. Should throw exception when invoked for constants.

    Definition Classes
    ConstTermSubs
  21. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  22. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  23. def productElementNames: Iterator[String]
    Definition Classes
    Product
  24. def replace(x: Term, y: Term): Term with Subs[Term]

    refine substitution so if x and y are both of certain forms such as pairs or formal applications, components are substituted.

    refine substitution so if x and y are both of certain forms such as pairs or formal applications, components are substituted.

    Definition Classes
    Subs
  25. def subs(x: Term, y: Term): Term

    substitute x by y recursively in this.

    substitute x by y recursively in this.

    Definition Classes
    ConstTermSubs
  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 ListTerm[U] toScalaTerm[U, ListTerm[U]] performed by method ScalaTerm in provingground.scalahott.ScalaRep.This conversion will take place only if an implicit value of type ScalaRep[U, ListTerm[U]] is in scope.
    Definition Classes
    ScalaTerm
  28. val typ: ListTyp[U]

    the HoTT-type of the term

    the HoTT-type of the term

    Definition Classes
    ListTermTerm
  29. def usesVar(t: Term): Boolean

    returns whether the variable t is used as a variable in a lambda definition.

    returns whether the variable t is used as a variable in a lambda definition.

    Definition Classes
    Term
  30. val value: List[U]
    Definition Classes
    ListTermConstTerm
  31. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  32. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException]) @native()
  33. 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): (ListTerm[U], B)
    Implicit
    This member is added by an implicit conversion from ListTerm[U] toArrowAssoc[ListTerm[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 ConstTerm[List[U]]

Inherited from Term

Inherited from Subs[Term]

Inherited from AnyRef

Inherited from Any

Inherited by implicit conversion ScalaTerm fromListTerm[U] to ScalaTerm[U, ListTerm[U]]

Inherited by implicit conversion any2stringadd fromListTerm[U] to any2stringadd[ListTerm[U]]

Inherited by implicit conversion StringFormat fromListTerm[U] to StringFormat[ListTerm[U]]

Inherited by implicit conversion Ensuring fromListTerm[U] to Ensuring[ListTerm[U]]

Inherited by implicit conversion ArrowAssoc fromListTerm[U] to ArrowAssoc[ListTerm[U]]

Ungrouped