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62 lines
1.2 KiB
62 lines
1.2 KiB
{-# LANGUAGE DeriveDataTypeable #-}
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{-# LANGUAGE GeneralizedNewtypeDeriving #-}
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{-# LANGUAGE PatternSynonyms #-}
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module Syntax where
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import Data.Text (Text)
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import Data.Data (Data, Typeable)
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data Plicity
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= Im
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| Ex
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deriving (Eq, Show, Ord, Data, Typeable)
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newtype Var = Bound Int
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deriving (Eq, Show, Ord, Data, Typeable)
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data BoundDef = BDBound Text | BDDefined Text
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deriving (Eq, Show, Ord, Data, Typeable)
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newtype MetaVar = MV { getMV :: Int }
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deriving (Eq, Show, Ord, Data, Typeable)
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data Term
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= Var Var
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| Con Text
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| Let Text Term Term Term
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| Type | Prop
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| Pi Plicity Text Term Term
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| Lam Plicity Text Term
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| App Plicity Term Term
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| Sigma Text Term Term
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| Pair Term Term
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| Proj1 Term
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| Proj2 Term
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| Meta MetaVar
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| NewMeta MetaVar [BoundDef]
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| Id Term Term Term
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| Refl
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| Coe
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| Cong
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| Sym
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| Top | Unit
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deriving (Eq, Show, Ord, Typeable, Data)
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pattern Bv :: Int -> Term
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pattern Bv i = Var (Bound i)
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data Telescope
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= End
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| Ext Telescope Text Term
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deriving (Eq, Show, Ord)
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newtype Level = Lvl {unLvl :: Int}
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deriving (Eq, Show, Ord, Enum)
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lvl2Ix :: Level -> Level -> Int
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lvl2Ix (Lvl l) (Lvl x) = l - x - 1
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