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

sealed trait VarVal[+Y] extends Expression

Linear Supertypes
Expression, AnyRef, Any
Known Subclasses
FinalVal, InitialVal
Type Hierarchy
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. VarVal
  2. Expression
  3. AnyRef
  4. Any
Implicitly
  1. by any2stringadd
  2. by StringFormat
  3. by Ensuring
  4. by ArrowAssoc
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Visibility
  1. Public
  2. Protected

Abstract Value Members

  1. abstract def mapVars(f: VariableMap): Expression
    Definition Classes
    Expression
  2. abstract val variable: Variable[Y]

Concrete 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
    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 square: Product
    Definition Classes
    Expression
  8. def unary_-: Expression
    Definition Classes
    Expression
  9. def useBoat[Y, State, O, Boat](boat: Boat, island: Island[Y, State, O, Boat]): Expression
    Definition Classes
    Expression