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 Frankl
    Definition Classes
    provingground
  • SetSystem

final case class SetSystem(sets: Set[Set[Int]]) extends AnyVal with Product with Serializable

Linear Supertypes
Serializable, Product, Equals, AnyVal, Any
Type Hierarchy
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. SetSystem
  2. Serializable
  3. Product
  4. Equals
  5. AnyVal
  6. Any
Implicitly
  1. by any2stringadd
  2. by StringFormat
  3. by Ensuring
  4. by ArrowAssoc
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Visibility
  1. Public
  2. Protected

Instance Constructors

  1. new SetSystem(sets: Set[Set[Int]])

Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    Any
  2. final def ##: Int
    Definition Classes
    Any
  3. def +(other: String): String
    Implicit
    This member is added by an implicit conversion from SetSystem toany2stringadd[SetSystem] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (SetSystem, B)
    Implicit
    This member is added by an implicit conversion from SetSystem toArrowAssoc[SetSystem] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @inline()
  5. final def ==(arg0: Any): Boolean
    Definition Classes
    Any
  6. def addElem(n: Int): SetSystem
  7. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  8. def buildWith(that: SetSystem, n: Int): SetSystem
  9. def common: Set[Int]
  10. def conj2Fails(that: SetSystem): Boolean
  11. def conjFails(that: SetSystem): Boolean
  12. def ensuring(cond: (SetSystem) => Boolean, msg: => Any): SetSystem
    Implicit
    This member is added by an implicit conversion from SetSystem toEnsuring[SetSystem] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  13. def ensuring(cond: (SetSystem) => Boolean): SetSystem
    Implicit
    This member is added by an implicit conversion from SetSystem toEnsuring[SetSystem] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  14. def ensuring(cond: Boolean, msg: => Any): SetSystem
    Implicit
    This member is added by an implicit conversion from SetSystem toEnsuring[SetSystem] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  15. def ensuring(cond: Boolean): SetSystem
    Implicit
    This member is added by an implicit conversion from SetSystem toEnsuring[SetSystem] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  16. def formatted(fmtstr: String): String
    Implicit
    This member is added by an implicit conversion from SetSystem toStringFormat[SetSystem] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @inline()
  17. def franklProj: Boolean
  18. def freq(k: Int): Int
  19. def freqExp(m: Map[Int, Rational]): Rational
  20. def frequencies: Vector[(Int, Int)]
  21. def getClass(): Class[_ <: AnyVal]
    Definition Classes
    AnyVal → Any
  22. def inAll: Set[Int]
  23. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  24. def isUnionClosed: Boolean
  25. def join(that: SetSystem): SetSystem
  26. def neSets: Set[Set[Int]]
  27. def normalize: SetSystem
  28. def productElementNames: Iterator[String]
    Definition Classes
    Product
  29. def proj(p: (Int) => Boolean): SetSystem
  30. def projFreqs: Map[Int, Rational]
  31. def properSize: Int
  32. def quotAll(that: SetSystem): SetSystem
  33. val sets: Set[Set[Int]]
  34. def size: Int
  35. def suppMaxOpt: Option[Int]
  36. def suppSet: Set[Int]
  37. def union(that: SetSystem): SetSystem

Deprecated Value Members

  1. def →[B](y: B): (SetSystem, B)
    Implicit
    This member is added by an implicit conversion from SetSystem toArrowAssoc[SetSystem] 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 AnyVal

Inherited from Any

Inherited by implicit conversion any2stringadd fromSetSystem to any2stringadd[SetSystem]

Inherited by implicit conversion StringFormat fromSetSystem to StringFormat[SetSystem]

Inherited by implicit conversion Ensuring fromSetSystem to Ensuring[SetSystem]

Inherited by implicit conversion ArrowAssoc fromSetSystem to ArrowAssoc[SetSystem]

Ungrouped