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|
||| Abstract syntax for terms.
module Obs.Term
import Data.Fin
import Obs.Universe
import Text.Bounded
import Text.PrettyPrint.Prettyprinter
%default total
-- Definition ------------------------------------------------------------------
public export
data Term : Nat -> Type where
Var : String -> Fin n -> Term n
-- Universes
Universe : Universe -> Term n
-- Dependent Product
Pi : WithBounds String -> WithBounds (Term n) -> WithBounds (Term (S n)) -> Term n
Lambda : WithBounds String -> WithBounds (Term (S n)) -> Term n
App : WithBounds (Term n) -> WithBounds (Term n) -> Term n
-- Dependent Sums
Sigma : WithBounds String -> WithBounds (Term n) -> WithBounds (Term (S n)) -> Term n
Pair : WithBounds (Term n) -> WithBounds (Term n) -> Term n
Fst : WithBounds (Term n) -> Term n
Snd : WithBounds (Term n) -> Term n
-- Booleans
Bool : Term n
True : Term n
False : Term n
If : WithBounds String ->
WithBounds (Term (S n)) ->
WithBounds (Term n) ->
WithBounds (Term n) ->
WithBounds (Term n) ->
Term n
-- True
Top : Term n
Point : Term n
-- False
Bottom : Term n
Absurd : WithBounds (Term n) -> Term n
-- Equality
Equal : WithBounds (Term n) -> WithBounds (Term n) -> Term n
Refl : WithBounds (Term n) -> Term n
Transp : WithBounds (Term n) ->
WithBounds (Term n) ->
WithBounds (Term n) ->
WithBounds (Term n) ->
WithBounds (Term n) ->
Term n
Cast : WithBounds (Term n) ->
WithBounds (Term n) ->
WithBounds (Term n) ->
WithBounds (Term n) ->
Term n
CastId : WithBounds (Term n) -> Term n
public export
record Definition (n : Nat) where
constructor MkDefinition
name : WithBounds String
ty : WithBounds (Term n)
tm : WithBounds (Term n)
public export
data Block : Nat -> Type where
Nil : Block 0
(:<) : Block n -> Definition n -> Block (S n)
-- Pretty Print ----------------------------------------------------------------
prettyPrec : Prec -> Term n -> Doc ann
prettyPrecBounds : Prec -> WithBounds (Term n) -> Doc ann
prettyPrec d (Var var _) = pretty var
prettyPrec d (Universe s) = prettyPrec d s
prettyPrec d (Pi var a b) =
parenthesise (d > Open) $
group $
parens (pretty var.val <++> colon <+> softline <+> align (prettyPrecBounds Open a)) <++>
pretty "->" <+> line <+>
align (prettyPrecBounds Open b)
prettyPrec d (Lambda var t) =
parenthesise (d > Open) $
group $
backslash <+> pretty var.val <++>
pretty "=>" <+> line <+>
align (prettyPrecBounds Open t)
prettyPrec d (App t u) =
parenthesise (d >= App) $
group $
vsep [prettyPrecBounds Open t, prettyPrecBounds App u]
prettyPrec d (Sigma var a b) =
parenthesise (d >= App) $
group $
parens (pretty var.val <++> colon <+> softline <+> align (prettyPrecBounds Open a)) <++>
pretty "**" <+> line <+>
align (prettyPrecBounds Open b)
prettyPrec d (Pair t u) =
angles $
group $
neutral <++> prettyPrecBounds Open t <+> comma <+> line <+> prettyPrecBounds Open u <++> neutral
prettyPrec d (Fst t) =
parenthesise (d >= App) $
group $
vsep [pretty "fst", prettyPrecBounds App t]
prettyPrec d (Snd t) =
parenthesise (d >= App) $
group $
vsep [pretty "snd", prettyPrecBounds App t]
prettyPrec d Bool = pretty "Bool"
prettyPrec d True = pretty "True"
prettyPrec d False = pretty "False"
prettyPrec d (If var a t f g) =
parenthesise (d >= App) $
group $
vsep $
[ pretty "if"
, parens $
group $
backslash <+> pretty var.val <++>
pretty "=>" <+> line <+>
align (prettyPrecBounds Open a)
, prettyPrecBounds App t
, prettyPrecBounds App f
, prettyPrecBounds App g
]
prettyPrec d Top = pretty "()"
prettyPrec d Point = pretty "tt"
prettyPrec d Bottom = pretty "Void"
prettyPrec d (Absurd t) =
parenthesise (d > Open) $
group $
vsep [pretty "absurd", prettyPrecBounds App t]
prettyPrec d (Equal t u) =
parenthesise (d >= Equal) $
group $
prettyPrecBounds Equal t <++> pretty "~" <+> line <+> prettyPrecBounds Equal u
prettyPrec d (Refl t) =
parenthesise (d >= App) $
group $
vsep [pretty "refl", prettyPrecBounds App t]
prettyPrec d (Transp a t u t' e) =
parenthesise (d >= App) $
group $
vsep $
[ pretty "transp"
, prettyPrecBounds App a
, prettyPrecBounds App t
, prettyPrecBounds App u
, prettyPrecBounds App t'
, prettyPrecBounds App e
]
prettyPrec d (Cast a b e t) =
parenthesise (d >= App) $
group $
vsep $
[ pretty "cast"
, prettyPrecBounds App a
, prettyPrecBounds App b
, prettyPrecBounds App e
, prettyPrecBounds App t
]
prettyPrec d (CastId t) =
parenthesise (d >= App) $
group $
vsep [pretty "castRefl", prettyPrecBounds App t]
prettyPrecBounds d (MkBounded v _ _) = prettyPrec d v
export
Pretty (Term n) where
prettyPrec = Term.prettyPrec
export
Pretty (Definition n) where
pretty def = group $
pretty def.name.val <++> colon <+> softline <+> pretty def.ty.val <+> hardline <+>
pretty def.name.val <++> equals <+> softline <+> pretty def.tm.val
export
Pretty (Block n) where
pretty [] = neutral
pretty ([] :< def) = pretty def
pretty (blk :< def) = pretty blk <+> hardline <+> hardline <+> pretty def
|
