trait RecursiveDefinition[H <: Term with Subs[H], C <: Term with Subs[C]] extends RecFunc[H, C]
recursively defined function, to be built by mixing in cases, defaults to a formal application by itself
- Self Type
- RecursiveDefinition[H, C]
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- RecursiveDefinition
- RecFunc
- Func
- FuncLike
- Function1
- Term
- Subs
- AnyRef
- Any
- by UnliftOps
- by any2stringadd
- by StringFormat
- by Ensuring
- by ArrowAssoc
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- Public
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Abstract Value Members
- abstract def caseFn(f: => Func[H, C])(arg: H): Option[C]
the optional recursive definition if a case is matched
- abstract val codom: Typ[C]
codomain
codomain
- Definition Classes
- Func
- abstract def dataSubs(that: RecursiveDefinition[H, C], x: Term, y: Term): RecursiveDefinition[H, C]
- abstract val defnData: Vector[Term]
definition data for all introduction rules.
definition data for all introduction rules.
- Definition Classes
- RecFunc
- abstract val dom: Typ[H]
domain
- abstract def fromData(data: Vector[Term]): RecursiveDefinition[H, C]
- Definition Classes
- RecursiveDefinition → RecFunc
- abstract val intros: Vector[Term]
- Definition Classes
- RecFunc
- abstract def newobj: Func[H, C] with Subs[Func[H, C]]
A new object with the same type, to be used in place of a variable to avoid name clashes.
A new object with the same type, to be used in place of a variable to avoid name clashes. Should throw exception when invoked for constants.
- Definition Classes
- Subs
- abstract def rebuilt: RecursiveDefinition[H, C]
- abstract def subs(x: Term, y: Term): RecursiveDefinition[H, C]
substitute x by y recursively in
this.substitute x by y recursively in
this.- Definition Classes
- RecursiveDefinition → Func → FuncLike → Subs
- abstract val typ: Typ[Func[H, C]]
the HoTT-type of the term
Concrete Value Members
- def act(arg: H): C
the action of the function to define: define this method, but use apply.
the action of the function to define: define this method, but use apply.
- Definition Classes
- RecursiveDefinition → Func → FuncLike
- def andThen[A](g: (C) => A): (H) => A
- Definition Classes
- Function1
- Annotations
- @unspecialized()
- def apply(arg: H): C
application of the function: use this but define the act method; checks HoTT-type of argument is in the domain and throws exception if it fails.
- def applyUnchecked(arg: H): C
- Definition Classes
- FuncLike
- def baseFunction: ExstFunc
- Definition Classes
- RecFunc
- def canApply(arg: H): Boolean
checks if application is valid; can override to allow for example resizing universes
checks if application is valid; can override to allow for example resizing universes
- arg
the argument
- returns
whether the argument has the correct type.
- Definition Classes
- FuncLike
- def compose[A](g: (A) => H): (A) => C
- Definition Classes
- Function1
- Annotations
- @unspecialized()
- val depcodom: (H) => Typ[C]
- def dependsOn(that: Term): Boolean
returns whether
thisdepends onthatreturns whether
thisdepends onthat- Definition Classes
- Term
- def equals(that: Any): Boolean
- Definition Classes
- RecFunc → AnyRef → Any
- lazy val fullData: (Typ[H], Typ[C], Vector[Term])
- Definition Classes
- RecFunc
- def hashCode(): Int
- Definition Classes
- RecFunc → AnyRef → Any
- def indepOf(that: Term): Boolean
returns whether
thisis independent ofthat.returns whether
thisis independent ofthat.- Definition Classes
- Term
- def replace(x: Term, y: Term): Func[H, C] with Subs[Func[H, C]]
refine substitution so if x and y are both of certain forms such as pairs or formal applications, components are substituted.
refine substitution so if x and y are both of certain forms such as pairs or formal applications, components are substituted.
- Definition Classes
- Subs
- def toString(): String
- Definition Classes
- RecFunc → Function1 → AnyRef → Any
- def unlift: PartialFunction[H, B]
- Implicit
- This member is added by an implicit conversion from RecursiveDefinition[H, C] toUnliftOps[H, B] performed by method UnliftOps in scala.Function1.This conversion will take place only if C is a subclass of Option[B] (C <: Option[B]).
- Definition Classes
- UnliftOps
- def usesVar(t: Term): Boolean
returns whether the variable
tis used as a variable in a lambda definition.