parser.mly

/**************************************************************************/
/*                                                                        */
/*  Copyright (C) 2010-2011                                               */
/*    François Bobot                                                      */
/*    Jean-Christophe Filliâtre                                           */
/*    Claude Marché                                                       */
/*    Andrei Paskevich                                                    */
/*                                                                        */
/*  This software is free software; you can redistribute it and/or        */
/*  modify it under the terms of the GNU Library General Public           */
/*  License version 2.1, with the special exception on linking            */
/*  described in file LICENSE.                                            */
/*                                                                        */
/*  This software is distributed in the hope that it will be useful,      */
/*  but WITHOUT ANY WARRANTY; without even the implied warranty of        */
/*  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.                  */
/*                                                                        */
/**************************************************************************/

%{
module Incremental = struct
  let env_ref  = ref []
  let lenv_ref = ref []
  let uc_ref   = ref []

  let ref_get  ref = List.hd !ref
  let ref_tail ref = List.tl !ref
  let ref_drop ref = ref := ref_tail ref
  let ref_pop  ref = let v = ref_get ref in ref_drop ref; v

  let ref_push ref v = ref := v :: !ref
  let ref_set  ref v = ref := v :: ref_tail ref

  let open_logic_file env =
    ref_push env_ref env; ref_push lenv_ref Util.Mstr.empty

  let close_logic_file () =
    ref_drop env_ref; ref_pop lenv_ref

  let open_theory id =
    ref_push uc_ref (Theory.create_theory (Denv.create_user_id id))

  let close_theory loc =
    let uc = ref_pop uc_ref in
    ref_set lenv_ref (Typing.close_theory loc (ref_get lenv_ref) uc)

  let open_namespace () =
    ref_set uc_ref (Theory.open_namespace (ref_get uc_ref))

  let close_namespace loc import name =
    ref_set uc_ref (Typing.close_namespace loc import name (ref_get uc_ref))

  let new_decl d =
    let env = ref_get env_ref in let lenv = ref_get lenv_ref in
    ref_set uc_ref (Typing.add_decl env lenv (ref_get uc_ref) d)
end

  open Ptree
  open Parsing

  let loc () = (symbol_start_pos (), symbol_end_pos ())
  let floc () = Loc.extract (loc ())

  let loc_i i = (rhs_start_pos i, rhs_end_pos i)
  let floc_i i = Loc.extract (loc_i i)
  let loc_ij i j = (rhs_start_pos i, rhs_end_pos j)
  let floc_ij i j = Loc.extract (loc_ij i j)

  let mk_ppl loc d = { pp_loc = loc; pp_desc = d }
  let mk_pp d = mk_ppl (floc ()) d
  let mk_pp_i i d = mk_ppl (floc_i i) d

  let mk_pat p = { pat_loc = floc (); pat_desc = p }

  let infix_ppl loc a i b = mk_ppl loc (PPbinop (a, i, b))
  let infix_pp a i b = infix_ppl (floc ()) a i b

  let prefix_ppl loc p a = mk_ppl loc (PPunop (p, a))
  let prefix_pp p a = prefix_ppl (floc ()) p a

  let infix  s = "infix "  ^ s
  let prefix s = "prefix " ^ s
  let mixfix s = "mixfix " ^ s

  let quote id = { id with id = "'" ^ id.id }

  let mk_id id loc = { id = id; id_lab = []; id_loc = loc }

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

  let mk_l_prefix op e1 =
    let id = mk_id (prefix op) (floc_i 1) in
    mk_pp (PPapp (Qident id, [e1]))

  let mk_l_infix e1 op e2 =
    let id = mk_id (infix op) (floc_i 2) in
    mk_pp (PPinfix (e1, id, e2))

  let mk_l_mixfix2 op e1 e2 =
    let id = mk_id (mixfix op) (floc_i 2) in
    mk_pp (PPapp (Qident id, [e1;e2]))

  let mk_l_mixfix3 op e1 e2 e3 =
    let id = mk_id (mixfix op) (floc_i 2) in
    mk_pp (PPapp (Qident id, [e1;e2;e3]))

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

  let mk_expr d = { expr_loc = floc (); expr_desc = d }
  let mk_expr_i i d = { expr_loc = floc_i i; expr_desc = d }

  let cast_body c ((p,e,q) as t) = match c with
    | None -> t
    | Some pt -> p, { e with expr_desc = Ecast (e, pt) }, q

  let rec mk_apply f = function
    | [] ->
        assert false
    | [a] ->
        Eapply (f, a)
    | a :: l ->
        let loc = Loc.join f.expr_loc a.expr_loc in
        mk_apply { expr_loc = loc; expr_desc = Eapply (f, a) } l

  let mk_apply_id id =
    let e =
      { expr_desc = Eident (Qident id); expr_loc = id.id_loc }
    in
    mk_apply e

  let mk_mixfix2 op e1 e2 =
    let id = mk_id (mixfix op) (floc_i 2) in
    mk_expr (mk_apply_id id [e1; e2])

  let mk_mixfix3 op e1 e2 e3 =
    let id = mk_id (mixfix op) (floc_i 2) in
    mk_expr (mk_apply_id id [e1; e2; e3])

  let mk_infix e1 op e2 =
    let id = mk_id (infix op) (floc_i 2) in
    mk_expr (mk_apply_id id [e1; e2])

  let mk_prefix op e1 =
    let id = mk_id (prefix op) (floc_i 1) in
    mk_expr (mk_apply_id id [e1])

  let exit_exn () = Qident (mk_id "%Exit" (floc ()))
  let id_anonymous () = mk_id "_" (floc ())
  let ty_unit () = Tpure (PPTtuple [])

  let id_lt_nat () = Qident (mk_id "lt_nat" (floc ()))

  let empty_effect = { pe_reads = []; pe_writes = []; pe_raises = [] }

  let type_c p ty ef q =
    { pc_result_type = ty;
      pc_effect      = ef;
      pc_pre         = p;
      pc_post        = q; }

  let add_init_mark e =
    let init = { id = "Init"; id_lab = []; id_loc = e.expr_loc } in
    { e with expr_desc = Emark (init, e) }

  let small_integer i =
    try
      match i with
      | Term.IConstDecimal s -> int_of_string s
      | Term.IConstHexa    s -> int_of_string ("0x"^s)
      | Term.IConstOctal   s -> int_of_string ("0o"^s)
      | Term.IConstBinary  s -> int_of_string ("0b"^s)
    with Failure _ -> raise Parsing.Parse_error

%}

/* Tokens */

%token <string> LIDENT UIDENT
%token <Ptree.integer_constant> INTEGER
%token <string> OP1 OP2 OP3 OP4 OPPREF
%token <Ptree.real_constant> FLOAT
%token <string> STRING
%token <Loc.position> POSITION

/* keywords */

%token AS AXIOM CLONE
%token ELSE END EPSILON EXISTS EXPORT FALSE FORALL FUNCTION
%token GOAL IF IMPORT IN INDUCTIVE LEMMA
%token LET MATCH META NAMESPACE NOT PROP PREDICATE
%token THEN THEORY TRUE TYPE USE WITH

/* program keywords */

%token ABSTRACT ABSURD ANY ASSERT ASSUME BEGIN CHECK DO DONE DOWNTO
%token EXCEPTION FOR
%token FUN INVARIANT LOOP MODEL MODULE MUTABLE RAISE
%token RAISES READS REC TO TRY VAL VARIANT WHILE WRITES

/* symbols */

%token AND ARROW
%token BAR
%token COLON COMMA
%token DOT EQUAL FUNC LAMBDA LTGT
%token LEFTPAR LEFTPAR_STAR_RIGHTPAR LEFTREC LEFTSQ
%token LARROW LRARROW
%token OR PRED QUOTE
%token RIGHTPAR RIGHTREC RIGHTSQ
%token UNDERSCORE

%token EOF

/* program symbols */

%token AMPAMP BARBAR LEFTBRC RIGHTBRC SEMICOLON

/* Precedences */

%nonassoc prec_mark
%nonassoc prec_post
%nonassoc BAR

%nonassoc prec_triple
%nonassoc prec_simple

%nonassoc IN
%right SEMICOLON
%nonassoc prec_no_else
%nonassoc DOT ELSE
%nonassoc prec_named
%nonassoc COLON

%right ARROW LRARROW
%right OR BARBAR
%right AND AMPAMP
%nonassoc NOT
%left EQUAL LTGT OP1
%nonassoc LARROW
%nonassoc RIGHTSQ    /* stronger than <- for e1[e2 <- e3] */
%left OP2
%left OP3
%left OP4
%nonassoc prec_prefix_op
%left prec_app
%nonassoc LEFTSQ
%nonassoc OPPREF

/* Entry points */

%type <Env.env -> unit> pre_logic_file
%start pre_logic_file
%type <Theory.theory Util.Mstr.t> logic_file
%start logic_file
%type <Ptree.program_file> program_file
%start program_file
%%

pre_logic_file:
| /* epsilon */  { Incremental.open_logic_file }
;

logic_file:
| list0_theory EOF  { Incremental.close_logic_file () }
;

/* File, theory, namespace */

list0_theory:
| /* epsilon */         { () }
| theory list0_theory   { () }
;

theory_head:
| THEORY uident labels  { Incremental.open_theory (add_lab $2 $3) }
;

theory:
| theory_head list0_decl END  { Incremental.close_theory (floc_i 1) }
;

list0_decl:
| /* epsilon */        { () }
| new_decl list0_decl  { () }
;

new_decl:
| decl
   { Incremental.new_decl $1 }
| namespace_head namespace_import namespace_name list0_decl END
   { Incremental.close_namespace (floc_i 3) $2 $3 }
;

namespace_head:
| NAMESPACE  { Incremental.open_namespace () }
;

namespace_import:
| /* epsilon */  { false }
| IMPORT         { true }
;

namespace_name:
| uident      { Some $1 }
| UNDERSCORE  { None }
;

/* Declaration */

decl:
| TYPE list1_type_decl
    { TypeDecl $2 }
| FUNCTION list1_logic_decl_function
    { LogicDecl $2 }
| PREDICATE list1_logic_decl_predicate
    { LogicDecl $2 }
| INDUCTIVE list1_inductive_decl
    { IndDecl $2 }
| AXIOM ident labels COLON lexpr
    { PropDecl (floc (), Kaxiom, add_lab $2 $3, $5) }
| LEMMA ident labels COLON lexpr
    { PropDecl (floc (), Klemma, add_lab $2 $3, $5) }
| GOAL ident labels COLON lexpr
    { PropDecl (floc (), Kgoal, add_lab $2 $3, $5) }
| USE use
    { UseClone (floc (), $2, None) }
| CLONE use clone_subst
    { UseClone (floc (), $2, Some $3) }
| META ident list1_meta_arg_sep_comma
    { Meta (floc (), $2, $3) }
| META STRING list1_meta_arg_sep_comma
    { Meta (floc (), mk_id $2 (floc_i 2), $3) }
;

/* Use and clone */

use:
| imp_exp tqualid
    { { use_theory = $2; use_as = None; use_imp_exp = $1 } }
| imp_exp tqualid AS uident
    { { use_theory = $2; use_as = Some (Some $4); use_imp_exp = $1 } }
| imp_exp tqualid AS UNDERSCORE
    { { use_theory = $2; use_as = Some None; use_imp_exp = $1 } }
;

imp_exp:
| IMPORT        { Import }
| EXPORT        { Export }
| /* epsilon */ { Nothing }
;

clone_subst:
| /* epsilon */          { [] }
| WITH list1_comma_subst { $2 }
;

list1_comma_subst:
| subst                         { [$1] }
| subst COMMA list1_comma_subst { $1 :: $3 }
;

subst:
| NAMESPACE ns     EQUAL ns     { CSns   ($2, $4) }
| TYPE      qualid EQUAL qualid { CStsym ($2, $4) }
| FUNCTION  qualid EQUAL qualid { CSfsym ($2, $4) }
| PREDICATE qualid EQUAL qualid { CSpsym ($2, $4) }
| LEMMA     qualid              { CSlemma $2 }
| GOAL      qualid              { CSgoal  $2 }
;

ns:
| uqualid { Some $1 }
| DOT     { None }
;

/* Meta args */

list1_meta_arg_sep_comma:
| meta_arg                                { [$1] }
| meta_arg COMMA list1_meta_arg_sep_comma { $1 :: $3 }
;

meta_arg:
| TYPE      qualid { PMAts  $2 }
| FUNCTION  qualid { PMAfs  $2 }
| PREDICATE qualid { PMAps  $2 }
| PROP      qualid { PMApr  $2 }
| STRING           { PMAstr $1 }
| INTEGER          { PMAint (small_integer $1) }
;

/* Type declarations */

list1_type_decl:
| type_decl                       { [$1] }
| type_decl WITH list1_type_decl  { $1 :: $3 }
;

type_decl:
| lident labels type_args typedefn
  { let model, def = $4 in
    { td_loc = floc (); td_ident = add_lab $1 $2;
      td_params = $3; td_model = model; td_def = def } }
;

type_args:
| /* epsilon */             { [] }
| type_var labels type_args { add_lab $1 $2 :: $3 }
;

typedefn:
| /* epsilon */                 { false, TDabstract }
| equal_model primitive_type    { $1, TDalias $2 }
| equal_model typecases         { $1, TDalgebraic $2 }
| equal_model BAR typecases     { $1, TDalgebraic $3 }
| equal_model record_type       { $1, TDrecord $2 }
;

equal_model:
| EQUAL { false }
| MODEL { true }
;

record_type:
| LEFTREC list1_record_field opt_semicolon RIGHTREC { List.rev $2 }
;

list1_record_field:
| record_field                              { [$1] }
| list1_record_field SEMICOLON record_field { $3 :: $1 }
;

record_field:
| opt_mutable lident labels COLON primitive_type
   { floc (), $1, add_lab $2 $3, $5 }
;

typecases:
| typecase                { [$1] }
| typecase BAR typecases  { $1::$3 }
;

typecase:
| uident labels params   { (floc (), add_lab $1 $2, $3) }
;

/* Logic declarations */

list1_logic_decl_function:
| logic_decl_function                        { [$1] }
| logic_decl_function WITH list1_logic_decl  { $1 :: $3 }
;

list1_logic_decl_predicate:
| logic_decl_predicate                        { [$1] }
| logic_decl_predicate WITH list1_logic_decl  { $1 :: $3 }
;

list1_logic_decl:
| logic_decl                        { [$1] }
| logic_decl WITH list1_logic_decl  { $1 :: $3 }
;

logic_decl_function:
| lident_rich labels params COLON primitive_type logic_def_option
  { { ld_loc = floc (); ld_ident = add_lab $1 $2;
      ld_params = $3; ld_type = Some $5; ld_def = $6 } }
;

logic_decl_predicate:
| lident_rich labels params logic_def_option
  { { ld_loc = floc (); ld_ident = add_lab $1 $2;
      ld_params = $3; ld_type = None; ld_def = $4 } }
;

logic_decl:
| lident_rich labels params logic_type_option logic_def_option
  { { ld_loc = floc (); ld_ident = add_lab $1 $2;
      ld_params = $3; ld_type = $4; ld_def = $5 } }
;

logic_type_option:
| /* epsilon */        { None }
| COLON primitive_type { Some $2 }
;

logic_def_option:
| /* epsilon */ { None }
| EQUAL lexpr   { Some $2 }
;

/* Inductive declarations */

list1_inductive_decl:
| inductive_decl                            { [$1] }
| inductive_decl WITH list1_inductive_decl  { $1 :: $3 }
;

inductive_decl:
| lident_rich labels params inddefn
  { { in_loc = floc (); in_ident = add_lab $1 $2;
      in_params = $3; in_def = $4 } }
;

inddefn:
| /* epsilon */       { [] }
| EQUAL bar_ indcases { $3 }
;

indcases:
| indcase               { [$1] }
| indcase BAR indcases  { $1::$3 }
;

indcase:
| ident labels COLON lexpr { (floc (), add_lab $1 $2, $4) }
;

/* Type expressions */

primitive_type:
| primitive_type_arg           { $1 }
| lqualid primitive_type_args  { PPTtyapp ($2, $1) }
;

primitive_type_non_lident:
| primitive_type_arg_non_lident           { $1 }
| uqualid DOT lident primitive_type_args  { PPTtyapp ($4, Qdot ($1, $3)) }
;

primitive_type_args:
| primitive_type_arg                      { [$1] }
| primitive_type_arg primitive_type_args  { $1 :: $2 }
;

primitive_type_arg:
| lident                         { PPTtyapp ([], Qident $1) }
| primitive_type_arg_non_lident  { $1 }
;

primitive_type_arg_non_lident:
| uqualid DOT lident
   { PPTtyapp ([], Qdot ($1, $3)) }
| type_var
   { PPTtyvar $1 }
| LEFTPAR primitive_type COMMA list1_primitive_type_sep_comma RIGHTPAR
   { PPTtuple ($2 :: $4) }
| LEFTPAR RIGHTPAR
   { PPTtuple [] }
| LEFTPAR primitive_type RIGHTPAR
   { $2 }
;

list1_primitive_type_sep_comma:
| primitive_type                                      { [$1] }
| primitive_type COMMA list1_primitive_type_sep_comma { $1 :: $3 }
;

type_var:
| QUOTE lident { $2 }
;

/* Logic expressions */

lexpr:
| lexpr ARROW lexpr
   { infix_pp $1 PPimplies $3 }
| lexpr LRARROW lexpr
   { infix_pp $1 PPiff $3 }
| lexpr OR lexpr
   { infix_pp $1 PPor $3 }
| lexpr BARBAR lexpr
   { mk_pp (PPnamed (Lstr Term.asym_label, infix_pp $1 PPor $3)) }
| lexpr AND lexpr
   { infix_pp $1 PPand $3 }
| lexpr AMPAMP lexpr
   { mk_pp (PPnamed (Lstr Term.asym_label, infix_pp $1 PPand $3)) }
| NOT lexpr
   { prefix_pp PPnot $2 }
| lexpr EQUAL lexpr
   { mk_l_infix $1 "=" $3 }
| lexpr LTGT lexpr
   { prefix_pp PPnot (mk_l_infix $1 "=" $3) }
| lexpr OP1 lexpr
   { mk_l_infix $1 $2 $3 }
| lexpr OP2 lexpr
   { mk_l_infix $1 $2 $3 }
| lexpr OP3 lexpr
   { mk_l_infix $1 $2 $3 }
| lexpr OP4 lexpr
   { mk_l_infix $1 $2 $3 }
| prefix_op lexpr %prec prec_prefix_op
   { mk_l_prefix $1 $2 }
| qualid list1_lexpr_arg
   { mk_pp (PPapp ($1, $2)) }
| IF lexpr THEN lexpr ELSE lexpr
   { mk_pp (PPif ($2, $4, $6)) }
| quant list1_param_var_sep_comma triggers DOT lexpr
   { mk_pp (PPquant ($1, $2, $3, $5)) }
| label lexpr %prec prec_named
   { mk_pp (PPnamed ($1, $2)) }
| LET pattern EQUAL lexpr IN lexpr
   { match $2.pat_desc with
       | PPpvar id -> mk_pp (PPlet (id, $4, $6))
       | _ -> mk_pp (PPmatch ($4, [$2, $6])) }
| MATCH lexpr WITH bar_ match_cases END
   { mk_pp (PPmatch ($2, $5)) }
| MATCH lexpr COMMA list1_lexpr_sep_comma WITH bar_ match_cases END
   { mk_pp (PPmatch (mk_pp (PPtuple ($2::$4)), $7)) }
| EPSILON lident labels COLON primitive_type DOT lexpr
   { mk_pp (PPeps (add_lab $2 $3, $5, $7)) }
| lexpr COLON primitive_type
   { mk_pp (PPcast ($1, $3)) }
| lexpr_arg
   { $1 }
;

list1_field_value:
| field_value                             { [$1] }
| list1_field_value SEMICOLON field_value { $3 :: $1 }
;

field_value:
| lqualid EQUAL lexpr { $1, $3 }
;

list1_lexpr_arg:
| lexpr_arg                 { [$1] }
| lexpr_arg list1_lexpr_arg { $1::$2 }
;

constant:
| INTEGER   { Term.ConstInt $1 }
| FLOAT     { Term.ConstReal $1 }
;

lexpr_arg:
| qualid            { mk_pp (PPvar $1) }
| constant          { mk_pp (PPconst $1) }
| TRUE              { mk_pp PPtrue }
| FALSE             { mk_pp PPfalse }
| OPPREF lexpr_arg  { mk_l_prefix $1 $2 }
| lexpr_sub         { $1 }
| QUOTE uident      { mk_pp (PPvar (Qident (quote $2))) }
;

lexpr_dot:
| lqualid_copy      { mk_pp (PPvar $1) }
| OPPREF lexpr_dot  { mk_l_prefix $1 $2 }
| lexpr_sub         { $1 }
;

lexpr_sub:
| lexpr_dot DOT lqualid_rich
   { mk_pp (PPapp ($3, [$1])) }
| LEFTPAR lexpr RIGHTPAR
   { $2 }
| LEFTPAR RIGHTPAR
   { mk_pp (PPtuple []) }
| LEFTPAR lexpr COMMA list1_lexpr_sep_comma RIGHTPAR
   { mk_pp (PPtuple ($2 :: $4)) }
| LEFTREC list1_field_value opt_semicolon RIGHTREC
   { mk_pp (PPrecord (List.rev $2)) }
| LEFTREC lexpr_arg WITH list1_field_value opt_semicolon RIGHTREC
   { mk_pp (PPupdate ($2, List.rev $4)) }
| lexpr_arg LEFTSQ lexpr RIGHTSQ
   { mk_l_mixfix2 "[]" $1 $3 }
| lexpr_arg LEFTSQ lexpr LARROW lexpr RIGHTSQ
   { mk_l_mixfix3 "[<-]" $1 $3 $5 }
;

quant:
| FORALL  { PPforall }
| EXISTS  { PPexists }
| LAMBDA  { PPlambda }
| FUNC    { PPfunc }
| PRED    { PPpred }
;

/* Triggers */

triggers:
| /* epsilon */                         { [] }
| LEFTSQ list1_trigger_sep_bar RIGHTSQ  { $2 }
;

list1_trigger_sep_bar:
| trigger                           { [$1] }
| trigger BAR list1_trigger_sep_bar { $1 :: $3 }
;

trigger:
| list1_lexpr_sep_comma { $1 }
;

list1_lexpr_sep_comma:
| lexpr                             { [$1] }
| lexpr COMMA list1_lexpr_sep_comma { $1 :: $3 }
;

/* Match expressions */

match_cases:
| match_case                  { [$1] }
| match_case BAR match_cases  { $1::$3 }
;

match_case:
| pattern ARROW lexpr   { ($1,$3) }
;

pattern:
| pat_conj              { $1 }
| pat_conj BAR pattern  { mk_pat (PPpor ($1, $3)) }
;

pat_conj:
| pat_uni                      { $1 }
| pat_uni COMMA list1_pat_uni  { mk_pat (PPptuple ($1::$3)) }
;

list1_pat_uni:
| pat_uni                      { [$1] }
| pat_uni COMMA list1_pat_uni  { $1::$3 }
;

pat_uni:
| pat_arg                   { $1 }
| uqualid list1_pat_arg     { mk_pat (PPpapp ($1, $2)) }
| pat_uni AS lident labels  { mk_pat (PPpas ($1, add_lab $3 $4)) }
;

list1_pat_arg:
| pat_arg                { [$1] }
| pat_arg list1_pat_arg  { $1::$2 }
;

pat_arg:
| UNDERSCORE                { mk_pat (PPpwild) }
| lident labels             { mk_pat (PPpvar (add_lab $1 $2)) }
| uqualid                   { mk_pat (PPpapp ($1, [])) }
| LEFTPAR RIGHTPAR          { mk_pat (PPptuple []) }
| LEFTPAR pattern RIGHTPAR  { $2 }
| LEFTREC pfields RIGHTREC  { mk_pat (PPprec $2) }
;

pfields:
| pat_field opt_semicolon       { [$1] }
| pat_field SEMICOLON pfields   { $1::$3 }
;

pat_field:
| lqualid EQUAL pattern   { ($1, $3) }
;

/* Parameters */

params:
| /* epsilon */   { [] }
| param params    { $1 @ $2 }
;

param:
| LEFTPAR param_var RIGHTPAR
   { $2 }
| LEFTPAR param_type RIGHTPAR
   { [None, $2] }
| LEFTPAR param_type COMMA list1_primitive_type_sep_comma RIGHTPAR
   { [None, PPTtuple ($2::$4)] }
| LEFTPAR RIGHTPAR
   { [None, PPTtuple []] }
| type_var
   { [None, PPTtyvar $1] }
| lqualid
   { [None, PPTtyapp ([], $1)] }
;

param_type:
| lident param_type_cont
   { PPTtyapp ($2, Qident $1) }
| lident list1_lident param_type_cont
   { let id2ty i = PPTtyapp ([], Qident i) in
     PPTtyapp (List.map id2ty $2 @ $3, Qident $1) }
| primitive_type_non_lident
   { $1 }
;

param_type_cont:
| /* epsilon */                                      { [] }
| primitive_type_arg_non_lident                      { [$1] }
| primitive_type_arg_non_lident primitive_type_args  { $1 :: $2 }
;

list1_param_var_sep_comma:
| param_var                                  { $1 }
| param_var COMMA list1_param_var_sep_comma  { $1 @ $3 }
;

param_var:
| list1_lident COLON primitive_type
   { List.map (fun id -> (Some id, $3)) $1 }
| list1_lident label labels list0_lident_labels COLON primitive_type
   { let l = match List.rev $1 with
       | i :: l -> add_lab i ($2 :: $3) :: l
       | [] -> assert false
     in
     List.map (fun id -> (Some id, $6)) (List.rev_append l $4) }
;

list1_lident:
| lident               { [$1] }
| lident list1_lident  { $1 :: $2 }
;

list0_lident_labels:
| /* epsilon */                      { [] }
| lident labels list0_lident_labels  { add_lab $1 $2 :: $3 }
;

/* Idents */

ident:
| uident { $1 }
| lident { $1 }
;

uident:
| UIDENT          { mk_id $1 (floc ()) }
;

lident:
| LIDENT          { mk_id $1 (floc ()) }
| lident_keyword  { mk_id $1 (floc ()) }
;

lident_keyword:
| MODEL           { "model" }
;

/* Idents + symbolic operations' names */

ident_rich:
| uident      { $1 }
| lident_rich { $1 }
;

lident_rich:
| lident                      { $1 }
| LEFTPAR lident_op RIGHTPAR  { mk_id $2 (floc ()) }
| LEFTPAR_STAR_RIGHTPAR       { mk_id (infix "*") (floc ()) }
;

lident_op:
| prefix_op             { infix $1 }
| prefix_op UNDERSCORE  { prefix $1 }
| EQUAL                 { infix "=" }
| OPPREF                { prefix $1 }
| LEFTSQ RIGHTSQ        { mixfix "[]" }
| LEFTSQ LARROW RIGHTSQ { mixfix "[<-]" }
;

prefix_op:
| OP1   { $1 }
| OP2   { $1 }
| OP3   { $1 }
| OP4   { $1 }
;

/* Qualified idents */

qualid:
| ident_rich              { Qident $1 }
| uqualid DOT ident_rich  { Qdot ($1, $3) }
;

lqualid_rich:
| lident_rich             { Qident $1 }
| uqualid DOT lident_rich { Qdot ($1, $3) }
;

lqualid:
| lident              { Qident $1 }
| uqualid DOT lident  { Qdot ($1, $3) }
;

/* copy of lqualid to avoid yacc conflicts */
lqualid_copy:
| lident              { Qident $1 }
| uqualid DOT lident  { Qdot ($1, $3) }
;

uqualid:
| uident              { Qident $1 }
| uqualid DOT uident  { Qdot ($1, $3) }
;

/* Theory/Module names */

tqualid:
| uident                { Qident $1 }
| any_qualid DOT uident { Qdot ($1, $3) }
;

any_qualid:
| ident                 { Qident $1 }
| any_qualid DOT ident  { Qdot ($1, $3) }
;

/* Misc */

label:
| STRING    { Lstr $1 }
| POSITION  { Lpos $1 }
;

labels:
| /* epsilon */ { [] }
| label labels  { $1 :: $2 }
;

bar_:
| /* epsilon */ { () }
| BAR           { () }
;

/****************************************************************************/

program_file:
| list0_theory_or_module_ EOF { $1 }
;

list0_theory_or_module_:
| /* epsilon */
   { [] }
| list1_theory_or_module_
   { $1 }
;

list1_theory_or_module_:
| theory_or_module_
   { [$1] }
| theory_or_module_ list1_theory_or_module_
   { $1 :: $2 }
;

theory_or_module_:
| THEORY uident labels list0_full_decl END
   { Ptheory { pth_name = add_lab $2 $3; pth_decl = $4; } }
| MODULE uident labels list0_program_decl END
   { Pmodule { mod_name = add_lab $2 $3; mod_decl = $4; } }
;

list0_full_decl:
| /* epsilon */
   { [] }
| list1_full_decl
   { $1 }
;

list1_full_decl:
| full_decl
   { [$1] }
| full_decl list1_full_decl
   { $1 :: $2 }
;

full_decl:
| NAMESPACE namespace_import namespace_name list0_full_decl END
   { Dnamespace (floc_i 3, $3, $2, $4) }
| decl
   { Dlogic $1 }
;