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 Context
    Definition Classes
    provingground
  • AppendConstant
  • AppendDefn
  • AppendIndDef
  • AppendTerm
  • AppendVariable
  • Assert
  • Consider
  • Defn
  • Empty
  • Role

case object Empty extends Context with Product with Serializable

Linear Supertypes
Serializable, Product, Equals, Context, AnyRef, Any
Ordering
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Inherited
  1. Empty
  2. Serializable
  3. Product
  4. Equals
  5. Context
  6. AnyRef
  7. Any
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Visibility
  1. Public
  2. Protected

Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##: Int
    Definition Classes
    AnyRef → Any
  3. def ++(that: Context): Context
    Definition Classes
    Context
  4. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  5. def addConstant[U <: Term with Subs[U]](const: U): AppendConstant[U]
    Definition Classes
    Context
  6. def addVariable[U <: Term with Subs[U]](variable: U): AppendVariable[U]
    Definition Classes
    Context
  7. def apply(kvs: (String, Term)*): Context
    Definition Classes
    Context
  8. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  9. def assert(tp: Typ[Term]): AppendTerm[Typ[Term]]
    Definition Classes
    Context
  10. def assume(tp: Typ[Term], text: String = "assumption"): AppendConstant[Term]
    Definition Classes
    Context
  11. def clone(): AnyRef
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.CloneNotSupportedException]) @native() @HotSpotIntrinsicCandidate()
  12. def consider(ts: Term*): Context
    Definition Classes
    Context
  13. val constants: Vector[Term]
    Definition Classes
    Empty → Context
  14. def define[U <: Term with Subs[U]](name: Term, value: U): AppendDefn[U]
    Definition Classes
    Context
  15. def defineInduc(ind: ExstInducStrucs): AppendIndDef
    Definition Classes
    Context
  16. def defineSym[U <: Term with Subs[U]](name: AnySym, value: U): AppendDefn[U]
    Definition Classes
    Context
  17. val definitions: Vector[Defn[Term]]
    Definition Classes
    Empty → Context
  18. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  19. def equals(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef → Any
  20. def export(t: Term): Term
    Definition Classes
    Empty → Context
  21. def exportStrict(t: Term): Term
    Definition Classes
    Empty → Context
  22. def exportTyp(typ: Typ[Term]): Typ[Term]
    Definition Classes
    Empty → Context
  23. def exportTypStrict(typ: Typ[Term]): Typ[Term]
    Definition Classes
    Empty → Context
  24. val exportVariables: Vector[Term]
    Definition Classes
    Empty → Context
  25. final def getClass(): Class[_ <: AnyRef]
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  26. def given[U <: Term with Subs[U]](v: Term): Context
    Definition Classes
    Context
  27. def importOpt(t: Term): Option[Term]
    Definition Classes
    Empty → Context
  28. def importTypOpt(t: Typ[Term]): Option[Typ[Term]]
    Definition Classes
    Empty → Context
  29. lazy val inducStruct: ExstInducStrucs
    Definition Classes
    Context
  30. val inductiveDefns: Vector[ExstInducStrucs]
    Definition Classes
    Empty → Context
  31. def introduce[U <: Term with Subs[U]](t: U, role: Role = Consider): AppendTerm[U]
    Definition Classes
    Context
  32. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  33. def let[U <: Term with Subs[U]](name: Term, value: U): AppendDefn[U]
    Definition Classes
    Context
  34. lazy val namedTerms: Map[String, Term]
    Definition Classes
    Context
  35. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  36. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  37. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  38. def productElementName(n: Int): String
    Definition Classes
    Product
  39. def productElementNames: Iterator[String]
    Definition Classes
    Product
  40. val statements: Vector[String]
    Definition Classes
    Empty → Context
  41. def subs(x: Term, y: Term): Empty
    Definition Classes
    Empty → Context
  42. final def synchronized[T0](arg0: => T0): T0
    Definition Classes
    AnyRef
  43. val terms: Vector[Nothing]
    Definition Classes
    Empty → Context
  44. def toString(): String
    Definition Classes
    Context → AnyRef → Any
  45. val valueOpt: Option[Term]
    Definition Classes
    Empty → Context
  46. val variables: Vector[Term]
    Definition Classes
    Empty → Context
  47. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  48. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException]) @native()
  49. 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

Inherited from Serializable

Inherited from Product

Inherited from Equals

Inherited from Context

Inherited from AnyRef

Inherited from Any

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