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110 lines
4.1 KiB
Agda
110 lines
4.1 KiB
Agda
module Luau.Syntax where
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open import Agda.Builtin.Equality using (_≡_)
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open import Agda.Builtin.Bool using (Bool; true; false)
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open import Agda.Builtin.Float using (Float)
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open import Agda.Builtin.String using (String)
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open import Luau.Var using (Var)
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open import Luau.Addr using (Addr)
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open import Luau.Type using (Type)
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open import FFI.Data.Maybe using (Maybe; just; nothing)
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infixr 5 _∙_
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data Annotated : Set where
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maybe : Annotated
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yes : Annotated
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data VarDec : Annotated → Set where
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var : Var → VarDec maybe
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var_∈_ : ∀ {a} → Var → Type → VarDec a
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name : ∀ {a} → VarDec a → Var
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name (var x) = x
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name (var x ∈ T) = x
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data FunDec : Annotated → Set where
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_⟨_⟩∈_ : ∀ {a} → Var → VarDec a → Type → FunDec a
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_⟨_⟩ : Var → VarDec maybe → FunDec maybe
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fun : ∀ {a} → FunDec a → VarDec a
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fun (f ⟨ x ⟩∈ T) = (var f ∈ T)
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fun (f ⟨ x ⟩) = (var f)
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arg : ∀ {a} → FunDec a → VarDec a
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arg (f ⟨ x ⟩∈ T) = x
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arg (f ⟨ x ⟩) = x
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data BinaryOperator : Set where
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+ : BinaryOperator
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- : BinaryOperator
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* : BinaryOperator
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/ : BinaryOperator
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< : BinaryOperator
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> : BinaryOperator
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== : BinaryOperator
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~= : BinaryOperator
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<= : BinaryOperator
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>= : BinaryOperator
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·· : BinaryOperator
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data Value : Set where
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nil : Value
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addr : Addr → Value
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number : Float → Value
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bool : Bool → Value
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string : String → Value
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data Block (a : Annotated) : Set
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data Stat (a : Annotated) : Set
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data Expr (a : Annotated) : Set
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data Block a where
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_∙_ : Stat a → Block a → Block a
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done : Block a
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data Stat a where
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function_is_end : FunDec a → Block a → Stat a
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local_←_ : VarDec a → Expr a → Stat a
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return : Expr a → Stat a
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data Expr a where
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var : Var → Expr a
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val : Value → Expr a
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_$_ : Expr a → Expr a → Expr a
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function_is_end : FunDec a → Block a → Expr a
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block_is_end : VarDec a → Block a → Expr a
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binexp : Expr a → BinaryOperator → Expr a → Expr a
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isAnnotatedᴱ : ∀ {a} → Expr a → Maybe (Expr yes)
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isAnnotatedᴮ : ∀ {a} → Block a → Maybe (Block yes)
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isAnnotatedᴱ (var x) = just (var x)
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isAnnotatedᴱ (val v) = just (val v)
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isAnnotatedᴱ (M $ N) with isAnnotatedᴱ M | isAnnotatedᴱ N
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isAnnotatedᴱ (M $ N) | just M′ | just N′ = just (M′ $ N′)
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isAnnotatedᴱ (M $ N) | _ | _ = nothing
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isAnnotatedᴱ (function f ⟨ var x ∈ T ⟩∈ U is B end) with isAnnotatedᴮ B
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isAnnotatedᴱ (function f ⟨ var x ∈ T ⟩∈ U is B end) | just B′ = just (function f ⟨ var x ∈ T ⟩∈ U is B′ end)
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isAnnotatedᴱ (function f ⟨ var x ∈ T ⟩∈ U is B end) | _ = nothing
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isAnnotatedᴱ (function _ is B end) = nothing
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isAnnotatedᴱ (block var b ∈ T is B end) with isAnnotatedᴮ B
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isAnnotatedᴱ (block var b ∈ T is B end) | just B′ = just (block var b ∈ T is B′ end)
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isAnnotatedᴱ (block var b ∈ T is B end) | _ = nothing
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isAnnotatedᴱ (block _ is B end) = nothing
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isAnnotatedᴱ (binexp M op N) with isAnnotatedᴱ M | isAnnotatedᴱ N
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isAnnotatedᴱ (binexp M op N) | just M′ | just N′ = just (binexp M′ op N′)
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isAnnotatedᴱ (binexp M op N) | _ | _ = nothing
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isAnnotatedᴮ (function f ⟨ var x ∈ T ⟩∈ U is C end ∙ B) with isAnnotatedᴮ B | isAnnotatedᴮ C
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isAnnotatedᴮ (function f ⟨ var x ∈ T ⟩∈ U is C end ∙ B) | just B′ | just C′ = just (function f ⟨ var x ∈ T ⟩∈ U is C′ end ∙ B′)
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isAnnotatedᴮ (function f ⟨ var x ∈ T ⟩∈ U is C end ∙ B) | _ | _ = nothing
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isAnnotatedᴮ (function _ is C end ∙ B) = nothing
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isAnnotatedᴮ (local var x ∈ T ← M ∙ B) with isAnnotatedᴱ M | isAnnotatedᴮ B
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isAnnotatedᴮ (local var x ∈ T ← M ∙ B) | just M′ | just B′ = just (local var x ∈ T ← M′ ∙ B′)
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isAnnotatedᴮ (local var x ∈ T ← M ∙ B) | _ | _ = nothing
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isAnnotatedᴮ (local _ ← M ∙ B) = nothing
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isAnnotatedᴮ (return M ∙ B) with isAnnotatedᴱ M | isAnnotatedᴮ B
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isAnnotatedᴮ (return M ∙ B) | just M′ | just B′ = just (return M′ ∙ B′)
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isAnnotatedᴮ (return M ∙ B) | _ | _ = nothing
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isAnnotatedᴮ done = just done
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