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syntax.ml
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syntax.ml
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type ident = string
type path = string list
type lident = ident
type lid = lident
type op =
| ADD
| SUB
| BEQ
| GT
| MUL
| DIV
| MOD
| EQ
type const =
| CApp of lid
| CPrin of lid
(* Binders
b ::=
| (x:t) // Value-binder
| x
| ('a:k) // type-binder
| 'a //Unascribed binder
*)
type binders =
| BValuebinder of lid * types
| BValue of lid
(* Types t ::= 'a //Variable
| Tc //Constant
| x:t[{phi}] -> t' //Dependent function, optionally refined domain
| x:t{phi} //Refined type
| fun b -> t //Type function literal
| x:t[{phi}] * t //Dependent pair, optionally refined lhs
| t t' //Type/type application
| t v //Type/value application
| 'a:k -> t //Dependent function, from types to values
*)
and types =
| TVar of lid
| TConst of lid
| TDependent of lid * types * types
| TDependentRefine of lid * types * formulas * types
| TRefine of lid * types * formulas
| TFun of binders list * types
| TApp of lid * lid list
(*formulas is used to do property verification *)
and formulas =
| Ignore
(*Values v ::= x //Variable
| () | 0 | 1 | ... | c //Constants
| fun b -> e //Lambda abstraction over values or types
| D [(t1|v1)...(tn|vn)] //Fully-applied data constr. or logic func.
*)
and values =
| VVar of lid
| VConst of lid
| VFun of binders * exprs
(*Expressions e ::= v //Value
| e1 e2 //Application
| let x = e1 in e2 //Let binding
| match e with br1..brn //Pattern matching
| assert phi //Checked assertion
| e.f //Projection
| e1 := e2 //Assignment of reference
| e1 binop e2 // binary operation
| fun x -> e // lambda function
| !e //Dereference
| ref e //Allocation
| raise e //Raising exceptions
| try e with br1..brn //Handling exceptions
| e t //Type application
| let rec f = v //[Mutually] recursive let binding
[and f1=v1 ...
and fn=vn] in
e
| assume phi //Admitted formula
| {[e with] f1=e1;...;fn=en} //Record literal
| (e <: t) //Ascription (with subtyping)
*)
and exprs =
| EVar of values
| EApp of const * (exprs list)
| ELet of values * exprs * exprs
| EBinop of exprs * op * exprs
| EFun of binders * exprs
| ECond of exprs * exprs * exprs
| EMatch of exprs * branchs list
| EAssert of formulas
| EProj of exprs * lid
| EAssign of exprs * exprs
(*
branches br ::= BAR pat -> e //Pattern matching branch
*)
and branchs =
| Bar of patterns * exprs
(*
pattern pat ::= _
| b
| C p1 .. pn
| c //Nested patterns
*)
and patterns =
| PAny
| PBinder of binders
(*
Type decl td ::= [logic data] type t b1..bn //Type declaration (with parameters)
*)
and tdecls =
| TType of types
| TTypebinder of types * binders list
(*
Type def tdef ::= td //abstract type
| td = t //type abbreviation
| td = BAR D1:t1 BAR ... BAR Dn:tn //algebraic type
| {f1:t1; ...; fn:tn} //record
*)
and tdefs =
| TTdef of tdecls
| TTabbr of tdecls * types
and decl = decl'
(*
Top level tl ::= val x : t //value declaration
| open M //open namespace
| let [rec] x1 = e1 //let binding with mutual rec.
[and ... and xn = en]
| tdef //type definition
| logic val L:t //logic value decl.
| (assume | define | query) Name:phi //assumption, definition, query
*)
and decl' =
| DOpen of lid
| DVal of ident * types
| DLet of bool * values list* exprs (* bool check if let with rec *)
| DType of tdefs
(* this is the whole program file*)
and prog =
| Module of lid * decl list
type 'a located =
{ loc: Lexing.position * Lexing.position; value: 'a }
(* let string_of_token (ident : token) =
match ident with
| ID s -> s
| STRING s -> s
| INT i -> string_of_int i
| FLOAT f -> string_of_float f
| _ -> "" *)
let mk_ident (text) = text
let mk_decl dec = dec
let lid_of_ids ids = String.concat "." ids
let name_of_types (t:types) = match t with
| TVar id -> id
| TConst id -> id
| TDependent (id, _, _) -> id
| TDependentRefine (id, _, _, _) -> id
| TRefine (id, _, _) -> id
| TFun _ -> "Fun"
| TApp (id, ids) -> id ^ (String.concat " " ids)
let name_of_const (c:const) = match c with
| CApp id -> id
| CPrin id -> id
let rec find_wys_of_expr (e:exprs) = match e with
| ELet (_, _, e2) -> find_wys_of_expr e2
| EApp (const, _) -> name_of_const const = "as_sec"
| EFun (_, e) -> find_wys_of_expr e
| _ -> false
let find_wys_of_decl (d:decl) = match d with
| DLet (_, _, e) -> if find_wys_of_expr e then Some e else None
| _ -> None
let find_wys_of_prog (p:prog) = match p with
| Module (_, decls) -> let find_result = List.map find_wys_of_decl decls in
let wys = List.find (fun a -> match a with Some _ -> true | None -> false) find_result in
wys
(* type expr =
raw_expr located
and raw_expr =
| Unit of unit
| False
| True
| Int of int
| Id of string
| Op of (op * expr * expr)
| Apply of ( token * expr list)
| Ifelse of (expr * expr *expr)
| If of (expr * expr)
| Letin of (token * expr * expr)
| Let of (id * expr)
| Seq of (expr * expr)
| Fun of (id * id list * expr)
| Lambda of ( id list * expr)
and op =
| Mul
| Sub
| Add
| Div
| Mod
| Le
| Ge
| Eq
| Lt
| Gt
| Ne *)
(* let string_of_op (op_: op) = match op_ with
| Mul -> "*"
| Sub -> "-"
| Add -> "+"
| Div -> "/"
| Mod -> "mod"
| Lt -> "<"
| Gt -> ">"
| Ge -> ">="
| Le -> "<="
| Ne -> "!="
| Eq -> "="
let rec string_of_expr e = match e.value with
| Unit () -> "()"
| False -> "false"
| True -> "true"
| Int i -> string_of_int i
| Id id -> string_of_id id
| Op (op, e1, e2) -> Printf.sprintf "(%s %s %s)"
(string_of_expr e1)
(string_of_op op)
(string_of_expr e2)
| Apply (id, args) -> Printf.sprintf "(%s %s)"
(string_of_id id)
(List.map string_of_expr args |> String.concat " ")
| If (cond, then_) -> Printf.sprintf "if (%s) then (%s)"
(string_of_expr cond)
(string_of_expr then_)
| Ifelse (cond, then_, else_) -> Printf.sprintf "if (%s) then {%s} else {%s}"
(string_of_expr cond)
(string_of_expr then_)
(string_of_expr else_)
| Letin (id, e, body) -> Printf.sprintf "Let %s = %s in %s"
(string_of_id id )
(string_of_expr e)
(string_of_expr body)
| Let (id , e) -> Printf.sprintf "Let %s = %s "
(string_of_id id)
(string_of_expr e)
| Seq (e1, e2) -> Printf.sprintf "%s ; %s"
(string_of_expr e1)
(string_of_expr e2)
| Fun (id, args, body) -> Printf.sprintf "let %s ( %s ) = \n{ %s }"
(string_of_id id)
(List.map string_of_id args |> String.concat " ")
(string_of_expr body)
| Lambda (args, body) -> Printf.sprintf "fun (%s) = \n { %s }"
(List.map string_of_id args |> String.concat " ")
(string_of_expr body) *)
(* type unuse =
| EASSEC of expr * expr
| EAPAR of expr * expr
| ECONST of id
| EFUNC of id
| EBOX
| UNBOX
| MKWIRE
| PROJWIRE
| CONCATWIRE
| MKSH
| COMBSH *)
(* let string_of_program = string_of_expr *)