parser.mly

(********************************************************************)
(*                                                                  *)
(*  The Why3 Verification Platform   /   The Why3 Development Team  *)
(*  Copyright 2010-2018   --   Inria - CNRS - Paris-Sud University  *)
(*                                                                  *)
(*  This software is distributed under the terms of the GNU Lesser  *)
(*  General Public License version 2.1, with the special exception  *)
(*  on linking described in file LICENSE.                           *)
(*                                                                  *)
(********************************************************************)

%{
  open Ptree

  let qualid_last = function Qident x | Qdot (_, x) -> x

  let use_as q = function Some x -> x | None -> qualid_last q

  let floc s e = Loc.extract (s,e)

  let debug_auto_model =
    Debug.register_flag ~desc:"When set, model labels are not added during parsing"
      "no_auto_model"

  let add_lab id l =
    { id with id_lab = l }

  let add_model_trace_label id =
    if Debug.test_flag debug_auto_model then id else
    let is_model_trace_label l =
      match l with
      | Lpos _ -> false
      | Lstr lab -> Ident.is_model_trace_label lab
    in
    if List.exists is_model_trace_label id.id_lab then id else
      let l =
        (Lstr (Ident.create_model_trace_label id.id_str))
        ::(Lstr Ident.model_label) :: id.id_lab in
      { id with id_lab = l }

  let add_model_labels (b : binder) =
    match b with
    | (loc, Some id, ghost, ty) ->
      (loc, Some (add_model_trace_label id), ghost, ty)
    | _ -> b

  let add_model_vc_label t =
    {t with term_desc = Tnamed (Lstr Ident.model_vc_label, t)}

  let add_model_vc_post_label t =
    {t with term_desc = Tnamed (Lstr Ident.model_vc_post_label, t)}

  let id_anonymous loc = { id_str = "_"; id_lab = []; id_loc = loc }

  let mk_int_const neg lit =
    Number.{ ic_negative = neg ; ic_abs = lit}

  let mk_real_const neg lit =
    Number.{ rc_negative = neg ; rc_abs = lit}

  let mk_id id s e = { id_str = id; id_lab = []; id_loc = floc s e }

  let get_op s e = Qident (mk_id (Ident.mixfix "[]") s e)
  let set_op s e = Qident (mk_id (Ident.mixfix "[<-]") s e)
  let sub_op s e = Qident (mk_id (Ident.mixfix "[_.._]") s e)
  let above_op s e = Qident (mk_id (Ident.mixfix "[_..]") s e)
  let below_op s e = Qident (mk_id (Ident.mixfix "[.._]") s e)

  let mk_pat  d s e = { pat_desc  = d; pat_loc  = floc s e }
  let mk_term d s e = { term_desc = d; term_loc = floc s e }
  let mk_expr d s e = { expr_desc = d; expr_loc = floc s e }

  let variant_union v1 v2 = match v1, v2 with
    | _, [] -> v1
    | [], _ -> v2
    | _, ({term_loc = loc},_)::_ -> Loc.errorm ~loc
        "multiple `variant' clauses are not allowed"

  let empty_spec = {
    sp_pre     = [];
    sp_post    = [];
    sp_xpost   = [];
    sp_reads   = [];
    sp_writes  = [];
    sp_alias   = [];
    sp_variant = [];
    sp_checkrw = false;
    sp_diverge = false;
  }

  let spec_union s1 s2 = {
    sp_pre     = s1.sp_pre @ s2.sp_pre;
    sp_post    = s1.sp_post @ s2.sp_post;
    sp_xpost   = s1.sp_xpost @ s2.sp_xpost;
    sp_reads   = s1.sp_reads @ s2.sp_reads;
    sp_writes  = s1.sp_writes @ s2.sp_writes;
    sp_alias   = s1.sp_alias @ s2.sp_alias;
    sp_variant = variant_union s1.sp_variant s2.sp_variant;
    sp_checkrw = s1.sp_checkrw || s2.sp_checkrw;
    sp_diverge = s1.sp_diverge || s2.sp_diverge;
  }

  let break_id    = "'Break"
  let continue_id = "'Continue"
  let return_id   = "'Return"

  let error_param loc =
    Loc.errorm ~loc "cannot determine the type of the parameter"

  let error_loc loc = Loc.error ~loc Error

  let () = Exn_printer.register (fun fmt exn -> match exn with
    | Error -> Format.fprintf fmt "syntax error"
    | _ -> raise exn)
%}

(* Tokens *)

%token <string> LIDENT LIDENT_QUOTE UIDENT UIDENT_QUOTE
%token <Number.integer_literal> INTEGER
%token <string> OP1 OP2 OP3 OP4 OPPREF
%token <Number.real_literal> REAL
%token <string> STRING
%token <string> ATTRIBUTE
%token <Loc.position> POSITION
%token <string> QUOTE_LIDENT

(* keywords *)

%token AS AXIOM BY CLONE COINDUCTIVE CONSTANT
%token ELSE END EPSILON EXISTS EXPORT FALSE FLOAT FORALL FUNCTION
%token GOAL IF IMPORT IN INDUCTIVE LEMMA
%token LET MATCH META NOT PREDICATE RANGE SCOPE
%token SO THEN THEORY TRUE TYPE USE WITH

(* program keywords *)

%token ABSTRACT ABSURD ALIAS ANY ASSERT ASSUME AT BEGIN BREAK CHECK
%token CONTINUE DIVERGES DO DONE DOWNTO ENSURES EXCEPTION FOR
%token FUN GHOST INVARIANT LABEL MODULE MUTABLE OLD
%token PRIVATE PURE RAISE RAISES READS REC REQUIRES
%token RETURN RETURNS TO TRY VAL VARIANT WHILE WRITES

(* symbols *)

%token AND ARROW
%token BAR
%token COLON COMMA
%token DOT DOTDOT EQUAL LT GT LTGT MINUS
%token LEFTPAR LEFTSQ
%token LARROW LRARROW OR
%token RIGHTPAR RIGHTSQ
%token UNDERSCORE

%token EOF

(* program symbols *)

%token AMPAMP BARBAR LEFTBRC RIGHTBRC SEMICOLON

(* Precedences *)

%nonassoc below_SEMI
%nonassoc SEMICOLON
%nonassoc LET VAL EXCEPTION
%nonassoc prec_no_else
%nonassoc DOT ELSE RETURN
%nonassoc prec_no_spec
%nonassoc REQUIRES ENSURES RETURNS RAISES READS WRITES ALIAS DIVERGES VARIANT
%nonassoc below_LARROW
%nonassoc LARROW
%nonassoc below_COMMA
%nonassoc COMMA
%nonassoc GHOST
%nonassoc prec_named
%nonassoc COLON (* weaker than -> because of t: a -> b *)
%right ARROW LRARROW BY SO
%right OR BARBAR
%right AND AMPAMP
%nonassoc NOT
%right EQUAL LTGT LT GT OP1
%nonassoc AT OLD
%left OP2 MINUS
%left OP3
%left OP4
%nonassoc prec_prefix_op
%nonassoc INTEGER REAL (* stronger than MINUS *)
%nonassoc LEFTSQ
%nonassoc OPPREF

(* Entry points *)

%start <Pmodule.pmodule Stdlib.Mstr.t> mlw_file
%start <Ptree.term> term_eof
%start <Ptree.qualid> qualid_eof
%start <Ptree.qualid list> qualid_comma_list_eof
%start <Ptree.term list> term_comma_list_eof
%start <Ptree.ident list> ident_comma_list_eof

%%

(* parsing of a single term *)

term_eof:
| term EOF { $1 }

(* Modules and scopes *)

mlw_file:
| mlw_module* EOF
    { Typing.close_file () }
| module_decl+ EOF
    { let loc = floc $startpos($2) $endpos($2) in
      Typing.close_module loc; Typing.close_file () }

mlw_module:
| module_head module_decl* END
    { Typing.close_module (floc $startpos($3) $endpos($3)) }

module_head:
| THEORY labels(uident_nq)  { Typing.open_module $2 }
| MODULE labels(uident_nq)  { Typing.open_module $2 }

scope_head:
| SCOPE boption(IMPORT) uident
    { Typing.open_scope (floc $startpos $endpos) $3; $2 }

module_decl:
| scope_head module_decl* END
    { Typing.close_scope (floc $startpos($1) $endpos($1)) ~import:$1 }
| IMPORT uqualid
    { Typing.import_scope (floc $startpos $endpos) $2 }
| d = pure_decl | d = prog_decl | d = meta_decl
    { Typing.add_decl (floc $startpos $endpos) d }
| use_clone { () }

(* Use and clone *)

use_clone:
| USE EXPORT tqualid
    { Typing.add_decl (floc $startpos $endpos) (Duse $3) }
| CLONE EXPORT tqualid clone_subst
    { Typing.add_decl (floc $startpos $endpos) (Dclone ($3, $4)) }
| USE boption(IMPORT) tqualid option(preceded(AS, uident))
    { let loc = floc $startpos $endpos in
      Typing.open_scope loc (use_as $3 $4);
      Typing.add_decl loc (Duse $3);
      Typing.close_scope loc ~import:$2 }
| CLONE boption(IMPORT) tqualid option(preceded(AS, uident)) clone_subst
    { let loc = floc $startpos $endpos in
      Typing.open_scope loc (use_as $3 $4);
      Typing.add_decl loc (Dclone ($3, $5));
      Typing.close_scope loc ~import:$2 }

clone_subst:
| (* epsilon *)                         { [] }
| WITH comma_list1(single_clone_subst)  { $2 }

single_clone_subst:
| TYPE qualid ty_var* EQUAL ty  { CStsym  ($2,$3,$5) }
| TYPE qualid                   { CStsym  ($2, [], PTtyapp ($2, [])) }
| CONSTANT  qualid EQUAL qualid { CSfsym  ($2,$4) }
| CONSTANT  qualid              { CSfsym  ($2,$2) }
| FUNCTION  qualid EQUAL qualid { CSfsym  ($2,$4) }
| FUNCTION  qualid              { CSfsym  ($2,$2) }
| PREDICATE qualid EQUAL qualid { CSpsym  ($2,$4) }
| PREDICATE qualid              { CSpsym  ($2,$2) }
| VAL       qualid EQUAL qualid { CSvsym  ($2,$4) }
| VAL       qualid              { CSvsym  ($2,$2) }
| EXCEPTION qualid EQUAL qualid { CSxsym  ($2,$4) }
| EXCEPTION qualid              { CSxsym  ($2,$2) }
| AXIOM     qualid              { CSaxiom ($2) }
| LEMMA     qualid              { CSlemma ($2) }
| GOAL      qualid              { CSgoal  ($2) }

(* Meta declarations *)

meta_decl:
| META sident comma_list1(meta_arg)  { Dmeta ($2, $3) }

meta_arg:
| TYPE      ty      { Mty $2 }
| CONSTANT  qualid  { Mfs $2 }
| FUNCTION  qualid  { Mfs $2 }
| PREDICATE qualid  { Mps $2 }
| AXIOM     qualid  { Max $2 }
| LEMMA     qualid  { Mlm $2 }
| GOAL      qualid  { Mgl $2 }
| STRING            { Mstr $1 }
| INTEGER           { Mint (Number.to_small_integer $1) }

(* Theory declarations *)

pure_decl:
| TYPE with_list1(type_decl)                { Dtype $2 }
| CONSTANT  constant_decl                   { Dlogic [$2] }
| FUNCTION  function_decl  with_logic_decl* { Dlogic ($2::$3) }
| PREDICATE predicate_decl with_logic_decl* { Dlogic ($2::$3) }
| INDUCTIVE   with_list1(inductive_decl)    { Dind (Decl.Ind, $2) }
| COINDUCTIVE with_list1(inductive_decl)    { Dind (Decl.Coind, $2) }
| AXIOM labels(ident_nq) COLON term         { Dprop (Decl.Paxiom, $2, $4) }
| LEMMA labels(ident_nq) COLON term         { Dprop (Decl.Plemma, $2, $4) }
| GOAL  labels(ident_nq) COLON term         { Dprop (Decl.Pgoal, $2, $4) }

(* Type declarations *)

type_decl:
| labels(lident_nq) ty_var* typedefn invariant* type_witness
  { let (vis, mut), def = $3 in
    { td_ident = $1; td_params = $2;
      td_vis = vis; td_mut = mut;
      td_inv = $4; td_wit = $5; td_def = def;
      td_loc = floc $startpos $endpos } }

type_witness:
| (* epsilon *)                           { [] }
| BY LEFTBRC field_list1(expr) RIGHTBRC   { $3 }

ty_var:
| labels(quote_lident) { $1 }

typedefn:
| (* epsilon *)
    { (Abstract, false), TDrecord [] }
| EQUAL vis_mut bar_list1(type_case)
    { $2, TDalgebraic $3 }
| EQUAL vis_mut LEFTBRC loption(semicolon_list1(type_field)) RIGHTBRC
    { $2, TDrecord $4 }
| EQUAL vis_mut ty
    { $2, TDalias $3 }
(* FIXME: allow negative bounds *)
| EQUAL LT RANGE int_constant int_constant GT
    { (Public, false), TDrange ($4, $5) }
| EQUAL LT FLOAT INTEGER INTEGER GT
    { (Public, false),
      TDfloat (Number.to_small_integer $4, Number.to_small_integer $5) }

int_constant:
| INTEGER       { Number.compute_int_literal $1 }
| MINUS INTEGER { BigInt.minus (Number.compute_int_literal $2) }

vis_mut:
| (* epsilon *)     { Public, false }
| MUTABLE           { Public, true  }
| abstract          { $1, false }
| abstract MUTABLE  { $1, true }
| MUTABLE abstract  { $2, true }

abstract:
| PRIVATE           { Private }
| ABSTRACT          { Abstract }

type_field:
| labels(lident_nq) cast
  { { f_ident = $1; f_mutable = false; f_ghost = false;
      f_pty = $2; f_loc = floc $startpos $endpos } }
| field_modifiers labels(lident_nq) cast
  { { f_ident = $2; f_mutable = fst $1; f_ghost = snd $1;
      f_pty = $3; f_loc = floc $startpos $endpos } }

field_modifiers:
| MUTABLE       { true,  false }
| GHOST         { false, true  }
| GHOST MUTABLE { true,  true  }
| MUTABLE GHOST { true,  true  }

type_case:
| labels(uident_nq) params { floc $startpos $endpos, $1, $2 }

(* Logic declarations *)

constant_decl:
| labels(lident_rich) cast preceded(EQUAL,term)?
  { { ld_ident = $1; ld_params = []; ld_type = Some $2;
      ld_def = $3; ld_loc = floc $startpos $endpos } }

function_decl:
| labels(lident_rich) params cast preceded(EQUAL,term)?
  { { ld_ident = $1; ld_params = $2; ld_type = Some $3;
      ld_def = $4; ld_loc = floc $startpos $endpos } }

predicate_decl:
| labels(lident_rich) params preceded(EQUAL,term)?
  { { ld_ident = $1; ld_params = $2; ld_type = None;
      ld_def = $3; ld_loc = floc $startpos $endpos } }

with_logic_decl:
| WITH labels(lident_rich) params cast? preceded(EQUAL,term)?
  { { ld_ident = $2; ld_params = $3; ld_type = $4;
      ld_def = $5; ld_loc = floc $startpos $endpos } }

(* Inductive declarations *)

inductive_decl:
| labels(lident_rich) params ind_defn
  { { in_ident = $1; in_params = $2;
      in_def = $3; in_loc = floc $startpos $endpos } }

ind_defn:
| (* epsilon *)             { [] }
| EQUAL bar_list1(ind_case) { $2 }

ind_case:
| labels(ident_nq) COLON term  { floc $startpos $endpos, $1, $3 }

(* Type expressions *)

ty:
| ty_arg          { $1 }
| lqualid ty_arg+ { PTtyapp ($1, $2) }
| ty ARROW ty     { PTarrow ($1, $3) }

ty_arg:
| lqualid                           { PTtyapp ($1, []) }
| quote_lident                      { PTtyvar $1 }
| LEFTPAR comma_list2(ty) RIGHTPAR  { PTtuple $2 }
| LEFTPAR RIGHTPAR                  { PTtuple [] }
| LEFTPAR ty RIGHTPAR               { PTparen $2 }
| LEFTBRC ty RIGHTBRC               { PTpure $2 }

cast:
| COLON ty  { $2 }

(* Parameters and binders *)

(* [param] and [binder] below must have the same grammar
   and raise [Error] in the same cases. Interpretaion of
   single-standing untyped [Qident]'s is different: [param]
   treats them as type expressions, [binder], as parameter
   names, whose type must be inferred. *)

params:  param*  { List.concat $1 }

binders: binder+ { List.concat $1 }

param:
| anon_binder
    { error_param (floc $startpos $endpos) }
| ty_arg
    { [floc $startpos $endpos, None, false, $1] }
| LEFTPAR GHOST ty RIGHTPAR
    { [floc $startpos $endpos, None, true, $3] }
| ty_arg label label*
    { match $1 with
      | PTtyapp (Qident _, []) ->
             error_param (floc $startpos $endpos)
      | _ -> error_loc (floc $startpos($2) $endpos($2)) }
| LEFTPAR binder_vars_rest RIGHTPAR
    { match $2 with [l,_] -> error_param l
      | _ -> error_loc (floc $startpos($3) $endpos($3)) }
| LEFTPAR GHOST binder_vars_rest RIGHTPAR
    { match $3 with [l,_] -> error_param l
      | _ -> error_loc (floc $startpos($4) $endpos($4)) }
| LEFTPAR binder_vars cast RIGHTPAR
    { List.map (fun (l,i) -> l, i, false, $3) $2 }
| LEFTPAR GHOST binder_vars cast RIGHTPAR
    { List.map (fun (l,i) -> l, i, true, $4) $3 }

binder:
| anon_binder
    { let l,i = $1 in [l, i, false, None] }
| ty_arg
    { match $1 with
      | PTtyapp (Qident id, [])
      | PTparen (PTtyapp (Qident id, [])) ->
          [floc $startpos $endpos, Some id, false, None]
      | _ -> [floc $startpos $endpos, None, false, Some $1] }
| LEFTPAR GHOST ty RIGHTPAR
    { match $3 with
      | PTtyapp (Qident id, []) ->
             [floc $startpos $endpos, Some id, true, None]
      | _ -> [floc $startpos $endpos, None, true, Some $3] }
| ty_arg label label*
    { match $1 with
      | PTtyapp (Qident id, []) ->
             let id = add_lab id ($2::$3) in
             [floc $startpos $endpos, Some id, false, None]
      | _ -> error_loc (floc $startpos($2) $endpos($2)) }
| LEFTPAR binder_vars_rest RIGHTPAR
    { match $2 with [l,i] -> [l, i, false, None]
      | _ -> error_loc (floc $startpos($3) $endpos($3)) }
| LEFTPAR GHOST binder_vars_rest RIGHTPAR
    { match $3 with [l,i] -> [l, i, true, None]
      | _ -> error_loc (floc $startpos($4) $endpos($4)) }
| LEFTPAR binder_vars cast RIGHTPAR
    { List.map (fun (l,i) -> l, i, false, Some $3) $2 }
| LEFTPAR GHOST binder_vars cast RIGHTPAR
    { List.map (fun (l,i) -> l, i, true, Some $4) $3 }

binder_vars:
| binder_vars_head  { List.rev $1 }
| binder_vars_rest  { $1 }

binder_vars_rest:
| binder_vars_head label label* binder_var*
    { List.rev_append (match $1 with
        | (l, Some id) :: bl ->
            let l3 = floc $startpos($3) $endpos($3) in
            (Loc.join l l3, Some (add_lab id ($2::$3))) :: bl
        | _ -> assert false) $4 }
| binder_vars_head anon_binder binder_var*
    { List.rev_append $1 ($2 :: $3) }
| anon_binder binder_var*
    { $1 :: $2 }

binder_vars_head:
| ty {
    let of_id id = id.id_loc, Some id in
    let push acc = function
      | PTtyapp (Qident id, []) -> of_id id :: acc
      | _ -> Loc.error ~loc:(floc $startpos $endpos) Error in
    match $1 with
      | PTtyapp (Qident id, l) -> List.fold_left push [of_id id] l
      | _ -> Loc.error ~loc:(floc $startpos $endpos) Error }

binder_var:
| labels(lident_nq) { floc $startpos $endpos, Some $1 }
| anon_binder       { $1 }

anon_binder:
| UNDERSCORE        { floc $startpos $endpos, None }

(* Logical terms *)

mk_term(X): d = X { mk_term d $startpos $endpos }

term:
| single_term %prec below_COMMA   { $1 }
| single_term COMMA term_
    { mk_term (Ttuple ($1::$3)) $startpos $endpos }

term_:
| single_term %prec below_COMMA   { [$1] }
| single_term COMMA term_         { $1::$3 }

single_term: t = mk_term(single_term_) { t }

single_term_:
| term_arg_
    { match $1 with (* break the infix relation chain *)
      | Tinfix (l,o,r) -> Tinnfix (l,o,r)
      | Tbinop (l,o,r) -> Tbinnop (l,o,r)
      | d -> d }
| NOT single_term
    { Tnot $2 }
| OLD single_term
    { Tat ($2, mk_id Dexpr.old_mark $startpos($1) $endpos($1)) }
| single_term AT uident
    { Tat ($1, $3) }
| prefix_op single_term %prec prec_prefix_op
    { Tidapp (Qident $1, [$2]) }
| MINUS INTEGER
    { Tconst (Number.ConstInt (mk_int_const true $2)) }
| MINUS REAL
    { Tconst (Number.ConstReal (mk_real_const true $2)) }
| l = single_term ; o = bin_op ; r = single_term
    { Tbinop (l, o, r) }
| l = single_term ; o = infix_op_1 ; r = single_term
    { Tinfix (l, o, r) }
| l = single_term ; o = infix_op_234 ; r = single_term
    { Tidapp (Qident o, [l; r]) }
| term_arg located(term_arg)+ (* FIXME/TODO: "term term_arg" *)
    { let join f (a,_,e) = mk_term (Tapply (f,a)) $startpos e in
      (List.fold_left join $1 $2).term_desc }
| IF term THEN term ELSE term
    { Tif ($2, $4, $6) }
| LET pattern EQUAL term IN term
    { let cast ty = { $4 with term_desc = Tcast ($4, ty) } in
      let pat, def = match $2.pat_desc with
        | Ptuple [] -> { $2 with pat_desc = Pwild }, cast (PTtuple [])
        | Pcast ({pat_desc = (Pvar (_,false)|Pwild)} as p, ty) -> p, cast ty
        | _ -> $2, $4 in
      match pat.pat_desc with
      | Pvar (id,false) -> Tlet (id, def, $6)
      | Pwild -> Tlet (id_anonymous pat.pat_loc, def, $6)
      | _ -> Tcase (def, [pat, $6]) }
| LET labels(lident_op_id) EQUAL term IN term
    { Tlet ($2, $4, $6) }
| LET labels(lident_nq) mk_term(lam_defn) IN term
    { Tlet ($2, $3, $5) }
| LET labels(lident_op_id) mk_term(lam_defn) IN term
    { Tlet ($2, $3, $5) }
| MATCH term WITH match_cases(term) END
    { Tcase ($2, $4) }
| quant comma_list1(quant_vars) triggers DOT term
    { let l = List.map add_model_labels (List.concat $2) in
      Tquant ($1, l, $3, $5) }
| FUN binders ARROW term
    { Tquant (Dterm.DTlambda, $2, [], $4) }
| EPSILON
    { Loc.errorm "Epsilon terms are currently not supported in WhyML" }
| label single_term %prec prec_named
    { Tnamed ($1, $2) }
| single_term cast
    { Tcast ($1, $2) }

lam_defn:
| binders EQUAL term  { Tquant (Dterm.DTlambda, $1, [], $3) }

term_arg: mk_term(term_arg_) { $1 }
term_dot: mk_term(term_dot_) { $1 }

term_arg_:
| qualid                    { Tident $1 }
| numeral                   { Tconst $1 }
| TRUE                      { Ttrue }
| FALSE                     { Tfalse }
| o = oppref ; a = term_arg { Tidapp (Qident o, [a]) }
| term_sub_                 { $1 }

term_dot_:
| lqualid                   { Tident $1 }
| o = oppref ; a = term_dot { Tidapp (Qident o, [a]) }
| term_sub_                 { $1 }

term_block:
| BEGIN term END                                    { $2.term_desc }
| LEFTPAR term RIGHTPAR                             { $2.term_desc }
| BEGIN END                                         { Ttuple [] }
| LEFTPAR RIGHTPAR                                  { Ttuple [] }
| LEFTBRC field_list1(term) RIGHTBRC                { Trecord $2 }
| LEFTBRC term_arg WITH field_list1(term) RIGHTBRC  { Tupdate ($2,$4) }

term_sub_:
| term_block                                        { $1 }
| uqualid DOT mk_term(term_block)                   { Tscope ($1, $3) }
| term_dot DOT lqualid_rich                         { Tidapp ($3,[$1]) }
| term_arg LEFTSQ term RIGHTSQ
    { Tidapp (get_op $startpos($2) $endpos($2), [$1;$3]) }
| term_arg LEFTSQ term LARROW term RIGHTSQ
    { Tidapp (set_op $startpos($2) $endpos($2), [$1;$3;$5]) }
| term_arg LEFTSQ term DOTDOT term RIGHTSQ
    { Tidapp (sub_op $startpos($2) $endpos($2), [$1;$3;$5]) }
| term_arg LEFTSQ term DOTDOT RIGHTSQ
    { Tidapp (above_op $startpos($2) $endpos($2), [$1;$3]) }
| term_arg LEFTSQ DOTDOT term RIGHTSQ
    { Tidapp (below_op $startpos($2) $endpos($2), [$1;$4]) }

field_list1(X):
| fl = semicolon_list1(separated_pair(lqualid, EQUAL, X)) { fl }

match_cases(X):
| cl = bar_list1(match_case(X)) { cl }

match_case(X):
| mc = separated_pair(pattern, ARROW, X) { mc }

quant_vars:
| binder_var+ cast? { List.map (fun (l,i) -> l, i, false, $2) $1 }

triggers:
| (* epsilon *)                                                         { [] }
| LEFTSQ separated_nonempty_list(BAR,comma_list1(single_term)) RIGHTSQ  { $2 }

%inline bin_op:
| ARROW   { Dterm.DTimplies }
| LRARROW { Dterm.DTiff }
| OR      { Dterm.DTor }
| BARBAR  { Dterm.DTor_asym }
| AND     { Dterm.DTand }
| AMPAMP  { Dterm.DTand_asym }
| BY      { Dterm.DTby }
| SO      { Dterm.DTso }

quant:
| FORALL  { Dterm.DTforall }
| EXISTS  { Dterm.DTexists }

numeral:
| INTEGER { Number.ConstInt (mk_int_const false $1) }
| REAL    { Number.ConstReal (mk_real_const false $1) }

(* Program declarations *)

prog_decl:
| VAL ghost kind labels(lident_rich) mk_expr(val_defn) { Dlet (add_model_trace_label $4, $2, $3, $5) }
| LET ghost kind labels(lident_rich) mk_expr(fun_defn) { Dlet ($4, $2, $3, $5) }
| LET ghost kind labels(lident_rich) const_defn        { Dlet ($4, $2, $3, $5) }
| LET REC with_list1(rec_defn)                         { Drec $3 }
| EXCEPTION labels(uident_nq)         { Dexn ($2, PTtuple [], Ity.MaskVisible) }
| EXCEPTION labels(uident_nq) return  { Dexn ($2, fst $3, snd $3) }

ghost:
| (* epsilon *) { false }
| GHOST         { true }

kind:
| (* epsilon *) { Expr.RKnone }
| FUNCTION      { Expr.RKfunc }
| CONSTANT      { Expr.RKfunc }
| PREDICATE     { Expr.RKpred }
| LEMMA         { Expr.RKlemma }

(* Function definitions *)

rec_defn:
| ghost kind labels(lident_rich) binders ret_opt spec EQUAL spec seq_expr
    { let id = mk_id return_id $startpos($7) $endpos($7) in
      let e = { $9 with expr_desc = Eoptexn (id, snd $5, $9) } in
      $3, $1, $2, $4, fst $5, snd $5, spec_union $6 $8, e }

fun_defn:
| binders ret_opt spec EQUAL spec seq_expr
    { let id = mk_id return_id $startpos($4) $endpos($4) in
      let e = { $6 with expr_desc = Eoptexn (id, snd $2, $6) } in
      Efun (List.map add_model_labels $1, fst $2, snd $2, spec_union $3 $5, e) }

val_defn:
| params ret_opt spec
    { Eany ($1, Expr.RKnone, fst $2, snd $2, $3) }

const_defn:
| cast EQUAL seq_expr   { { $3 with expr_desc = Ecast ($3, $1) } }
| EQUAL seq_expr        { $2 }

(* Program expressions *)

mk_expr(X): d = X { mk_expr d $startpos $endpos }

seq_expr:
| contract_expr %prec below_SEMI  { $1 }
| contract_expr SEMICOLON         { $1 }
| contract_expr SEMICOLON seq_expr
    { mk_expr (Esequence ($1, $3)) $startpos $endpos }

contract_expr:
| assign_expr %prec prec_no_spec  { $1 }
| assign_expr single_spec spec
    { let d = Efun ([], None, Ity.MaskVisible, spec_union $2 $3, $1) in
      let d = Enamed (Lstr Vc.wb_label, mk_expr d $startpos $endpos) in
      mk_expr d $startpos $endpos }

assign_expr:
| expr %prec below_LARROW         { $1 }
| expr LARROW expr
    { let loc = floc $startpos $endpos in
      let rec down ll rl = match ll, rl with
        | {expr_desc = Eidapp (q, [e1])}::ll, e2::rl -> (e1,q,e2) :: down ll rl
        | {expr_desc = Eidapp (Qident id, [_;_]); expr_loc = loc}::_, _::_
          when id.id_str = Ident.mixfix "[]" -> Loc.errorm ~loc
            "Parallel array assignments are not allowed"
        | {expr_loc = loc}::_, _::_ -> Loc.errorm ~loc
            "Invalid left expression in an assignment"
        | [], [] -> []
        | _ -> Loc.errorm ~loc "Invalid parallel assignment" in
      let d = match $1.expr_desc, $3.expr_desc with
        | Eidapp (Qident id, [e1;e2]), _ when id.id_str = Ident.mixfix "[]" ->
            Eidapp (Qident {id with id_str = Ident.mixfix "[]<-"}, [e1;e2;$3])
        | Etuple ll, Etuple rl -> Eassign (down ll rl)
        | Etuple _, _ -> Loc.errorm ~loc "Invalid parallel assignment"
        | _, _ -> Eassign (down [$1] [$3]) in
      { expr_desc = d; expr_loc = loc } }

expr:
| single_expr %prec below_COMMA   { $1 }
| single_expr COMMA expr_list1
    { mk_expr (Etuple ($1::$3)) $startpos $endpos }

expr_list1:
| single_expr %prec below_COMMA   { [$1] }
| single_expr COMMA expr_list1    { $1::$3 }

single_expr: e = mk_expr(single_expr_)  { e }

single_expr_:
| expr_arg_
    { match $1 with (* break the infix relation chain *)
      | Einfix (l,o,r) -> Einnfix (l,o,r) | d -> d }
| single_expr AMPAMP single_expr
    { Eand ($1, $3) }
| single_expr BARBAR single_expr
    { Eor ($1, $3) }
| NOT single_expr