annotate variant.urs @ 21:e7d64ea0f922

Variant.weaken, mp, and mapR
author Adam Chlipala <adam@chlipala.net>
date Thu, 05 Jan 2012 18:04:04 -0500
parents 296807a9fd50
children ca1c07d49b5e
rev   line source
adam@6 1 (** Derived functions dealing with polymorphic variants *)
adam@6 2
adam@6 3 val read : r ::: {Unit} -> t ::: Type -> folder r -> $(mapU t r) -> variant (mapU {} r) -> t
adam@6 4 val write : r ::: {Unit} -> t ::: Type -> folder r -> $(mapU t r) -> variant (mapU {} r) -> t -> $(mapU t r)
adam@6 5
adam@6 6 val search : r ::: {Unit} -> t ::: Type -> (variant (mapU {} r) -> option t) -> folder r -> option t
adam@6 7 val find : r ::: {Unit} -> (variant (mapU {} r) -> bool) -> folder r -> option (variant (mapU {} r))
adam@6 8
adam@6 9 val test : nm :: Name -> t ::: Type -> ts ::: {Type} -> [[nm] ~ ts] => folder ([nm = t] ++ ts)
adam@6 10 -> variant ([nm = t] ++ ts) -> option t
adam@6 11 val testLess : nm :: Name -> t ::: Type -> ts ::: {Type} -> [[nm] ~ ts] => folder ts -> variant ([nm = t] ++ ts) -> option t
adam@6 12
adam@21 13 val weaken : r1 ::: {Type} -> r2 ::: {Type} -> [r1 ~ r2] => folder r1
adam@21 14 -> variant r1 -> variant (r1 ++ r2)
adam@21 15
adam@6 16 val testEq : K --> f :: (K -> Type) -> nm :: Name -> t ::: K -> ts ::: {K} -> r ::: {K} -> [[nm] ~ ts] =>
adam@6 17 Eq.eq r ([nm = t] ++ ts)
adam@6 18 -> folder r
adam@6 19 -> variant (map f r) -> option (f t)
adam@6 20
adam@6 21 val eq : r ::: {Unit} -> folder r -> variant (mapU {} r) -> variant (mapU {} r) -> bool
adam@6 22
adam@6 23 val makeEq : K --> f :: (K -> Type) -> nm :: Name -> t ::: K -> ts ::: {K} -> r ::: {K} -> [[nm] ~ ts] =>
adam@6 24 Eq.eq r ([nm = t] ++ ts)
adam@6 25 -> f t
adam@6 26 -> variant (map f r)
adam@6 27
adam@21 28 val mp : r ::: {Unit} -> t ::: Type -> folder r -> (variant (mapU {} r) -> t) -> $(mapU t r)
adam@21 29
adam@6 30 val fold : r ::: {Unit} -> t ::: Type -> folder r -> (variant (mapU {} r) -> t -> t) -> t -> t
adam@6 31
adam@20 32 val foldR : tr ::: Type -> r ::: {Unit} -> t ::: Type -> folder r -> (variant (mapU {} r) -> tr -> t -> t) -> $(mapU tr r) -> t -> t
adam@20 33
adam@20 34 val appR : m ::: (Type -> Type) -> monad m
adam@20 35 -> tr ::: Type -> r ::: {Unit} -> folder r -> (variant (mapU {} r) -> tr -> m {}) -> $(mapU tr r) -> m {}
adam@20 36
adam@21 37 val mapR : tr ::: Type -> t ::: Type -> r ::: {Unit} -> folder r -> (variant (mapU {} r) -> tr -> t) -> $(mapU tr r) -> $(mapU t r)
adam@21 38
adam@6 39 val destrR : K --> f :: (K -> Type) -> fr :: (K -> Type) -> t ::: Type
adam@6 40 -> (p :: K -> f p -> fr p -> t)
adam@6 41 -> r ::: {K} -> folder r -> variant (map f r) -> $(map fr r) -> t
adam@6 42
adam@6 43 val destr2R : K --> f1 :: (K -> Type) -> f2 :: (K -> Type) -> fr :: (K -> Type) -> t ::: Type
adam@6 44 -> (p :: K -> f1 p -> f2 p -> fr p -> t)
adam@6 45 -> r ::: {K} -> folder r -> variant (map f1 r) -> variant (map f2 r) -> $(map fr r) -> option t