Remove some ambiguities in parsing

This commit is contained in:
2026-03-06 21:41:26 -08:00
parent b1c2bfc896
commit 90e36d8faf
8 changed files with 41 additions and 39 deletions

View File

@@ -3,7 +3,6 @@ module Tree
-- adapted from Conor McBride's 2-3 tree example
-- youtube video: https://youtu.be/v2yXrOkzt5w?t=3013
data Nat : U where
Z : Nat
S : Nat -> Nat
@@ -16,8 +15,8 @@ data Void : U where
infixl 4 _+_
data _+_ : U -> U -> U where
inl : {A B} -> A -> A + B
inr : {A B} -> B -> A + B
inl : a b. a -> a + b
inr : a b. b -> a + b
infix 4 _<=_
@@ -47,14 +46,14 @@ _ <<= Top = Unit
_ <<= _ = Void
data Intv : Bnd -> Bnd -> U where
intv : {l u} (x : Nat) (lx : l <<= N x) (xu : N x <<= u) -> Intv l u
intv : l u. (x : Nat) (lx : l <<= N x) (xu : N x <<= u) -> Intv l u
data T23 : Bnd -> Bnd -> Nat -> U where
leaf : {l u} (lu : l <<= u) -> T23 l u Z
node2 : {l u h} (x : _)
leaf : l u. (lu : l <<= u) -> T23 l u Z
node2 : l u h. (x : _)
(tlx : T23 l (N x) h) (txu : T23 (N x) u h) ->
T23 l u (S h)
node3 : {l u h} (x y : _)
node3 : l u h. (x y : _)
(tlx : T23 l (N x) h) (txy : T23 (N x) (N y) h) (tyu : T23 (N y) u h) ->
T23 l u (S h)
@@ -66,12 +65,12 @@ data Sg : (A : U) -> (A -> U) -> U where
_,_ : {A : U} {B : A -> U} -> (a : A) -> B a -> Sg A B
_*_ : U -> U -> U
A * B = Sg A (\ _ => B)
a * b = Sg a (\ _ => b)
TooBig : Bnd -> Bnd -> Nat -> U
TooBig l u h = Sg Nat (\ x => T23 l (N x) h * T23 (N x) u h)
insert : {l u h} -> Intv l u -> T23 l u h -> TooBig l u h + T23 l u h
insert : l u h. Intv l u -> T23 l u h -> TooBig l u h + T23 l u h
insert (intv x lx xu) (leaf lu) = inl (x , (leaf lx , leaf xu))
insert (intv x lx xu) (node2 y tly tyu) = case cmp x y of
-- u := N y is not solved at this time