From dc600f47e15ff59a46890ca32e5571e24ce00983 Mon Sep 17 00:00:00 2001 From: Chloe Brown Date: Sat, 25 Mar 2023 15:41:36 +0000 Subject: Extract Terms and Values to a new module. --- src/CC/Name.idr | 2 +- src/CC/Term.idr | 58 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++ src/Main.idr | 44 +------------------------------------------ 3 files changed, 60 insertions(+), 44 deletions(-) create mode 100644 src/CC/Term.idr (limited to 'src') diff --git a/src/CC/Name.idr b/src/CC/Name.idr index f1a66db..4c25f5c 100644 --- a/src/CC/Name.idr +++ b/src/CC/Name.idr @@ -1,6 +1,6 @@ module CC.Name -import Control.Relation +import public Control.Relation import Decidable.Equality diff --git a/src/CC/Term.idr b/src/CC/Term.idr new file mode 100644 index 0000000..2bae041 --- /dev/null +++ b/src/CC/Term.idr @@ -0,0 +1,58 @@ +module CC.Term + +import CC.Name + +-- Definition ------------------------------------------------------------------ + +public export +Context : Type +Context = SnocList Name + +public export +data IsVar : Nat -> Name -> Context -> Type where + Here : (eq : m ~~ n) -> IsVar 0 m (ctx :< n) + There : IsVar k n ctx -> IsVar (S k) n (ctx :< _) + +public export +data Term : Context -> Type where + Var : (k : Nat) -> (0 n : Name) -> (0 prf : IsVar k n ctx) -> Term ctx + Abs : (n : Name) -> Term (ctx :< n) -> Term ctx + App : Term ctx -> Term ctx -> Term ctx + Let : (n : Name) -> Term ctx -> Term (ctx :< n) -> Term ctx + +public export +data Value : Context -> Type +public export +data Neutral : Context -> Type +public export +data Closure : Context -> Type + +public export +data Env : (local, global : Context) -> Type where + Lin : Env [<] global + (:<) : Env local global -> (p : (Name, Lazy (Value global))) -> Env (local :< fst p) global + +data Closure : Context -> Type where + Close : (n : Name) -> Env local global -> Term (local :< n) -> Closure global + +data Value where + Ntrl : Neutral ctx -> Value ctx + VAbs : Closure ctx -> Value ctx + +data Neutral where + VVar : (k : Nat) -> (0 n : Name) -> (0 prf : IsVar k n ctx) -> Neutral ctx + VApp : Neutral ctx -> Lazy (Value ctx) -> Neutral ctx + +%name IsVar prf +%name Term t, u +%name Value v +%name Neutral n +%name Closure close +%name Env env + +-- Operations ------------------------------------------------------------------ + +export +index : Env local global -> (k : Nat) -> (0 prf : IsVar k n local) -> Value global +index (env :< (n, v)) 0 (Here eq) = v +index (env :< _) (S k) (There prf) = index env k prf diff --git a/src/Main.idr b/src/Main.idr index 9f4caf8..6a5fe1b 100644 --- a/src/Main.idr +++ b/src/Main.idr @@ -1,6 +1,7 @@ module Main import CC.Name +import CC.Term import Data.DPair import Data.List @@ -19,51 +20,8 @@ import Text.Parser import Text.PrettyPrint.Prettyprinter import Text.PrettyPrint.Prettyprinter.Render.Terminal -Context : Type -Context = SnocList Name - -data IsVar : Nat -> Name -> Context -> Type where - Here : (eq : m ~~ n) -> IsVar 0 m (ctx :< n) - There : IsVar k n ctx -> IsVar (S k) n (ctx :< _) - -data Term : Context -> Type where - Var : (k : Nat) -> (0 n : Name) -> (0 prf : IsVar k n ctx) -> Term ctx - Abs : (n : Name) -> Term (ctx :< n) -> Term ctx - App : Term ctx -> Term ctx -> Term ctx - Let : (n : Name) -> Term ctx -> Term (ctx :< n) -> Term ctx - -data Value : Context -> Type -data Neutral : Context -> Type -data Closure : Context -> Type - -data Env : (local, global : Context) -> Type where - Lin : Env [<] global - (:<) : Env local global -> (p : (Name, Lazy (Value global))) -> Env (local :< fst p) global - -data Closure : Context -> Type where - Close : (n : Name) -> Env local global -> Term (local :< n) -> Closure global - -data Value where - Ntrl : Neutral ctx -> Value ctx - VAbs : Closure ctx -> Value ctx - -data Neutral where - VVar : (k : Nat) -> (0 n : Name) -> (0 prf : IsVar k n ctx) -> Neutral ctx - VApp : Neutral ctx -> Lazy (Value ctx) -> Neutral ctx - -%name IsVar prf -%name Term t, u -%name Value v -%name Neutral n -%name Closure close -%name Env env - -------------------------------------------------------------------------------- -index : Env local global -> (k : Nat) -> (0 prf : IsVar k n local) -> Value global -index (env :< (n, v)) 0 (Here eq) = v -index (env :< _) (S k) (There prf) = index env k prf - app : Closure ctx -> Lazy (Value ctx) -> Value ctx eval : Env local global -> Term local -> Value global -- cgit v1.2.3