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 learning
    Definition Classes
    provingground
  • object Expression
    Definition Classes
    learning
  • Coeff
  • Exp
  • FinalVal
  • InitialVal
  • IsleScale
  • Literal
  • Log
  • Product
  • Quotient
  • Sum
  • VarVal
  • VariableMap

case class Sum(xs: Vector[Expression]) extends Expression with scala.Product with Serializable

Linear Supertypes
Serializable, scala.Product, Equals, Expression, AnyRef, Any
Type Hierarchy
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. Sum
  2. Serializable
  3. Product
  4. Equals
  5. Expression
  6. AnyRef
  7. 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 Sum(xs: Vector[Expression])

Value Members

  1. def *(y: Double): Product
    Definition Classes
    Expression
  2. def *(that: Expression): Product
    Definition Classes
    Expression
  3. def +(that: Expression): Sum
    Definition Classes
    Sum → Expression
  4. def -(that: Expression): Sum
    Definition Classes
    Expression
  5. def /(y: Double): Quotient
    Definition Classes
    Expression
  6. def /(that: Expression): Quotient
    Definition Classes
    Expression
  7. def mapVars(f: VariableMap): Sum
    Definition Classes
    Sum → Expression
  8. def productElementNames: Iterator[String]
    Definition Classes
    Product
  9. def square: Product
    Definition Classes
    Expression
  10. def toString(): String
    Definition Classes
    Sum → AnyRef → Any
  11. def unary_-: Expression
    Definition Classes
    Expression
  12. def useBoat[Y, State, O, Boat](boat: Boat, island: Island[Y, State, O, Boat]): Expression
    Definition Classes
    Expression
  13. val xs: Vector[Expression]