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 andrewscurtis
    Definition Classes
    provingground
  • object AndrewsCurtis
    Definition Classes
    andrewscurtis
  • ACDeStab
  • ACFlowData
  • ACMoveType
  • ACStab
  • ACparameters
  • AtomicChain
  • Chain
  • Conj
  • DynDst
  • Inv
  • LftMult
  • Move
  • RecChain
  • RtMult

case class AtomicChain(head: Vert) extends Chain with Product with Serializable

Linear Supertypes
Serializable, Product, Equals, Chain, AnyRef, Any
Type Hierarchy
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. AtomicChain
  2. Serializable
  3. Product
  4. Equals
  5. Chain
  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 AtomicChain(head: Vert)

Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##: Int
    Definition Classes
    AnyRef → Any
  3. def +(other: String): String
    Implicit
    This member is added by an implicit conversion from AtomicChain toany2stringadd[AtomicChain] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (AtomicChain, B)
    Implicit
    This member is added by an implicit conversion from AtomicChain toArrowAssoc[AtomicChain] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @inline()
  5. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  6. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  7. def clone(): AnyRef
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.CloneNotSupportedException]) @native() @HotSpotIntrinsicCandidate()
  8. def ensuring(cond: (AtomicChain) => Boolean, msg: => Any): AtomicChain
    Implicit
    This member is added by an implicit conversion from AtomicChain toEnsuring[AtomicChain] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  9. def ensuring(cond: (AtomicChain) => Boolean): AtomicChain
    Implicit
    This member is added by an implicit conversion from AtomicChain toEnsuring[AtomicChain] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  10. def ensuring(cond: Boolean, msg: => Any): AtomicChain
    Implicit
    This member is added by an implicit conversion from AtomicChain toEnsuring[AtomicChain] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  11. def ensuring(cond: Boolean): AtomicChain
    Implicit
    This member is added by an implicit conversion from AtomicChain toEnsuring[AtomicChain] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  12. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  13. val foot: Vert
    Definition Classes
    AtomicChain → Chain
  14. def formatted(fmtstr: String): String
    Implicit
    This member is added by an implicit conversion from AtomicChain toStringFormat[AtomicChain] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @inline()
  15. final def getClass(): Class[_ <: AnyRef]
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  16. val head: Vert
    Definition Classes
    AtomicChain → Chain
  17. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  18. lazy val moveStack: List[Move]
    Definition Classes
    AtomicChain → Chain
  19. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  20. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  21. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  22. def prob(d: DynDstbn): Double
    Definition Classes
    AtomicChain → Chain
  23. def productElementNames: Iterator[String]
    Definition Classes
    Product
  24. final def synchronized[T0](arg0: => T0): T0
    Definition Classes
    AnyRef
  25. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  26. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException]) @native()
  27. 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
  2. def →[B](y: B): (AtomicChain, B)
    Implicit
    This member is added by an implicit conversion from AtomicChain toArrowAssoc[AtomicChain] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @deprecated
    Deprecated

    (Since version 2.13.0) Use -> instead. If you still wish to display it as one character, consider using a font with programming ligatures such as Fira Code.

Inherited from Serializable

Inherited from Product

Inherited from Equals

Inherited from Chain

Inherited from AnyRef

Inherited from Any

Inherited by implicit conversion any2stringadd fromAtomicChain to any2stringadd[AtomicChain]

Inherited by implicit conversion StringFormat fromAtomicChain to StringFormat[AtomicChain]

Inherited by implicit conversion Ensuring fromAtomicChain to Ensuring[AtomicChain]

Inherited by implicit conversion ArrowAssoc fromAtomicChain to ArrowAssoc[AtomicChain]

Ungrouped