Packages

sealed trait ConstructorSeqMap[C <: Term with Subs[C], H <: Term with Subs[H], RecType <: Term with Subs[RecType], InducType <: Term with Subs[InducType], Intros <: HList] extends AnyRef

Inductive type definition as in ConstructorSeqTL together with the scala type of a codomain; this determines the scala type of rec_W,X and induc_W, Xs functions. methods return recursive and inductive definitions for a given codomain; these are lambda forms of definitions made for each introduction rule in ConstructorPatternMap and combined for different introduction rules in RecursiveDefinition and InductiveDefinition

C

scala type of terms in the codomain for defining recursive/inductive function

H

scala type of terms in the inductive type with this shape.

RecType

scala type of a function rec_W, X

InducType

scala type of a function ind_W, X

Intros

introduction rules for inductive type of this shape

Linear Supertypes
AnyRef, Any
Known Subclasses
Cons, Empty
Type Hierarchy
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. ConstructorSeqMap
  2. AnyRef
  3. 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 val W: Typ[H]

    the inductive type being defined

  2. abstract def inducDataLambda(fibre: Func[H, Typ[C]]): (FuncLike[H, C]) => InducType

    converts an inductive definition built by InductiveDefinition to a lambda

  3. abstract def inducDefn(fibre: Func[H, Typ[C]]): InductiveDefinition[H, C]

    inductive definition function ind_W, X in raw form

  4. abstract def recDataLambda(X: Typ[C]): (Func[H, C]) => RecType

    converts a recursive definition built by RecursiveDefinition to a lambda

  5. abstract def recDefn(X: Typ[C]): RecursiveDefinition[H, C]

    recursive definition function rec_W, X in raw form

  6. abstract def subs(x: Term, y: Term): ConstructorSeqMap[C, H, RecType, InducType, Intros]

Concrete 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 ConstructorSeqMap[C, H, RecType, InducType, Intros] toany2stringadd[ConstructorSeqMap[C, H, RecType, InducType, Intros]] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (ConstructorSeqMap[C, H, RecType, InducType, Intros], B)
    Implicit
    This member is added by an implicit conversion from ConstructorSeqMap[C, H, RecType, InducType, Intros] toArrowAssoc[ConstructorSeqMap[C, H, RecType, InducType, Intros]] 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: (ConstructorSeqMap[C, H, RecType, InducType, Intros]) => Boolean, msg: => Any): ConstructorSeqMap[C, H, RecType, InducType, Intros]
    Implicit
    This member is added by an implicit conversion from ConstructorSeqMap[C, H, RecType, InducType, Intros] toEnsuring[ConstructorSeqMap[C, H, RecType, InducType, Intros]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  9. def ensuring(cond: (ConstructorSeqMap[C, H, RecType, InducType, Intros]) => Boolean): ConstructorSeqMap[C, H, RecType, InducType, Intros]
    Implicit
    This member is added by an implicit conversion from ConstructorSeqMap[C, H, RecType, InducType, Intros] toEnsuring[ConstructorSeqMap[C, H, RecType, InducType, Intros]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  10. def ensuring(cond: Boolean, msg: => Any): ConstructorSeqMap[C, H, RecType, InducType, Intros]
    Implicit
    This member is added by an implicit conversion from ConstructorSeqMap[C, H, RecType, InducType, Intros] toEnsuring[ConstructorSeqMap[C, H, RecType, InducType, Intros]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  11. def ensuring(cond: Boolean): ConstructorSeqMap[C, H, RecType, InducType, Intros]
    Implicit
    This member is added by an implicit conversion from ConstructorSeqMap[C, H, RecType, InducType, Intros] toEnsuring[ConstructorSeqMap[C, H, RecType, InducType, Intros]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  12. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  13. def equals(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef → Any
  14. def formatted(fmtstr: String): String
    Implicit
    This member is added by an implicit conversion from ConstructorSeqMap[C, H, RecType, InducType, Intros] toStringFormat[ConstructorSeqMap[C, H, RecType, InducType, Intros]] 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. def hashCode(): Int
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  17. def induc(fibre: Func[H, Typ[C]]): InducType

    inductive definition function ind_W, Xs

  18. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  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 rec(X: Typ[C]): RecType

    the recursion function rec_W,X

  23. final def synchronized[T0](arg0: => T0): T0
    Definition Classes
    AnyRef
  24. def toString(): String
    Definition Classes
    AnyRef → Any
  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): (ConstructorSeqMap[C, H, RecType, InducType, Intros], B)
    Implicit
    This member is added by an implicit conversion from ConstructorSeqMap[C, H, RecType, InducType, Intros] toArrowAssoc[ConstructorSeqMap[C, H, RecType, InducType, Intros]] 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 AnyRef

Inherited from Any

Inherited by implicit conversion any2stringadd fromConstructorSeqMap[C, H, RecType, InducType, Intros] to any2stringadd[ConstructorSeqMap[C, H, RecType, InducType, Intros]]

Inherited by implicit conversion StringFormat fromConstructorSeqMap[C, H, RecType, InducType, Intros] to StringFormat[ConstructorSeqMap[C, H, RecType, InducType, Intros]]

Inherited by implicit conversion Ensuring fromConstructorSeqMap[C, H, RecType, InducType, Intros] to Ensuring[ConstructorSeqMap[C, H, RecType, InducType, Intros]]

Inherited by implicit conversion ArrowAssoc fromConstructorSeqMap[C, H, RecType, InducType, Intros] to ArrowAssoc[ConstructorSeqMap[C, H, RecType, InducType, Intros]]

Ungrouped