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  • 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
  • class SymbolicGroup[A] extends ScalaTyp[A]
    Definition Classes
    scalahott
  • object Theorems
    Definition Classes
    SymbolicGroup
  • ConjPower
  • PowerDistributive

object PowerDistributive

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  18. lazy val pf: FuncLike[RepTerm[A], FuncLike[RepTerm[SafeLong], Induc[Equality[RepTerm[A]]]]]
  19. lazy val step: FuncLike[RepTerm[SafeLong], Func[Equality[RepTerm[A]], Equality[RepTerm[A]]]]
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  21. lazy val thm: GenFuncTyp[RepTerm[A], FuncLike[RepTerm[SafeLong], FuncLike[RepTerm[SafeLong], Equality[RepTerm[A]]]]]
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