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 VecTyp extends Serializable
    Definition Classes
    scalahott
  • VecPolyRep

case class VecPolyRep[U <: Term with Subs[U], X]() extends ScalaPolyRep[RepTerm[Vector[X]], Vector[X]] with Product with Serializable

Linear Supertypes
Serializable, Product, Equals, ScalaPolyRep[RepTerm[Vector[X]], Vector[X]], AnyRef, Any
Type Hierarchy
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. VecPolyRep
  2. Serializable
  3. Product
  4. Equals
  5. ScalaPolyRep
  6. AnyRef
  7. Any
Implicitly
  1. by ScalaPolyTerm
  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 VecPolyRep()

Value Members

  1. def apply(typ: Typ[Term])(elem: Vector[X]): Option[RepTerm[Vector[X]]]
    Definition Classes
    VecPolyRepScalaPolyRep
  2. def getTerm(typ: Typ[Term]): U
    Implicit
    This member is added by an implicit conversion from VecPolyRep[U, X] toScalaPolyTerm[U, VecPolyRep[U, X]] performed by method ScalaPolyTerm in provingground.scalahott.ScalaPolyRep.This conversion will take place only if an implicit value of type ScalaPolyRep[U, VecPolyRep[U, X]] is in scope.
    Definition Classes
    ScalaPolyTerm
  3. def hott(typ: Typ[Term]): Option[U]
    Implicit
    This member is added by an implicit conversion from VecPolyRep[U, X] toScalaPolyTerm[U, VecPolyRep[U, X]] performed by method ScalaPolyTerm in provingground.scalahott.ScalaPolyRep.This conversion will take place only if an implicit value of type ScalaPolyRep[U, VecPolyRep[U, X]] is in scope.
    Definition Classes
    ScalaPolyTerm
  4. def productElementNames: Iterator[String]
    Definition Classes
    Product
  5. def subs(x: Term, y: Term): VecPolyRep[U, X]
    Definition Classes
    VecPolyRepScalaPolyRep
  6. def unapply(term: RepTerm[Vector[X]]): Option[Vector[X]]
    Definition Classes
    VecPolyRepScalaPolyRep
  7. def ||(that: ScalaPolyRep[RepTerm[Vector[X]], Vector[X]]): OrScalaPolyRep[RepTerm[Vector[X]], Vector[X]]
    Definition Classes
    ScalaPolyRep