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+%{
+open Ast
+open Parse
+%}
+
+%token <string> META INT IDENT
+%token <string> OPER
+%token LPAR RPAR BAR COMMA COLON BANG FUN DOT RARROW LET COLONEQ IN IF
+%token THEN ELSE EVAL AT FOR PROP SET TYPE WILDCARD FIX
+%token COFIX MATCH WITH END AND LBRACE RBRACE STRUCT AS SIMPL PERCENT
+%token EOF
+
+%start main
+%type <Ast.constr_ast> main
+
+%start constr
+%type <Ast.constr_ast> constr
+
+%start simple_constr
+%type <Ast.constr_ast> simple_constr
+
+%%
+
+main:
+ constr EOF { $1 }
+;
+
+
+paren_constr:
+ constr COMMA paren_constr { Pair($1,$3) }
+ | constr { $1 }
+;
+
+constr:
+ binder_constr { $1 }
+ | oper_constr { close_stack $1 }
+;
+
+binder_constr:
+ BANG ne_binders DOT constr { Prod($2, $4) }
+ | FUN ne_binders type_cstr RARROW constr { Lambda($2,mk_cast $5 $3) }
+ | LET IDENT binders type_cstr COLONEQ constr IN constr
+ { Let($2,mk_lambda $3 (mk_cast $6 $4),$8) }
+ | LET LPAR comma_binders RPAR COLONEQ constr IN constr
+ { LetCase($3,$6,$8) }
+ | IF constr THEN constr ELSE constr { IfCase($2,$4,$6) }
+ | fix_constr { $1 }
+ | EVAL rfun IN constr { Eval($2,$4) }
+;
+
+comma_binders:
+ ne_comma_binders { $1 }
+ | { [] }
+;
+
+ne_comma_binders:
+ binder COMMA ne_comma_binders { $1 :: $3 }
+ | binder { [$1] }
+;
+
+rfun:
+ SIMPL { Simpl }
+;
+
+
+/* 2 Conflits shift/reduce */
+oper_constr:
+ oper_constr oper appl_constr
+ { parse_term $3 (parse_oper $2 $1) }
+ | oper_constr oper binder_constr
+ { parse_term $3 (parse_oper $2 $1) }
+ | oper_constr oper { parse_oper $2 $1 }
+ | { empty }
+ | appl_constr { parse_term $1 empty }
+;
+
+oper:
+ OPER {$1}
+ | COLON {":"}
+;
+
+appl_constr:
+ simple_constr ne_appl_args { Appl($1,$2) }
+ | AT global simple_constrs { ApplExpl($2,$3) }
+ | simple_constr { $1 }
+;
+
+appl_arg:
+ AT INT COLONEQ simple_constr { (Some $2,$4) }
+ | simple_constr { (None,$1) }
+;
+
+ne_appl_args:
+ appl_arg { [$1] }
+ | appl_arg ne_appl_args { $1::$2 }
+;
+
+simple_constr:
+ atomic_constr { $1 }
+ | match_constr { $1 }
+ | LPAR paren_constr RPAR { $2 }
+ | simple_constr PERCENT IDENT { Scope($3,$1) }
+;
+
+simple_constrs:
+ simple_constr simple_constrs { $1::$2 }
+ | { [] }
+;
+
+atomic_constr:
+ global { Qualid $1 }
+ | PROP { Prop }
+ | SET { Set }
+ | TYPE { Type }
+ | INT { Int $1 }
+ | WILDCARD { Hole }
+ | META { Meta $1 }
+;
+
+global:
+ IDENT DOT global { $1 :: $3 }
+ | IDENT { [$1] }
+;
+
+/* Conflit normal */
+fix_constr:
+ fix_kw fix_decl
+ { let (id,_,_,_,_ as fx) = $2 in Fixp($1,[fx],id) }
+ | fix_kw fix_decl fix_decls FOR IDENT { Fixp($1, $2::$3, $5) }
+;
+
+fix_kw: FIX {Fix} | COFIX {CoFix}
+;
+
+fix_decl:
+ IDENT binders type_cstr annot COLONEQ constr { ($1,$2,$3,$4,$6) }
+;
+
+fix_decls:
+ AND fix_decl fix_decls { $2::$3 }
+ | AND fix_decl { [$2] }
+;
+
+annot:
+ LBRACE STRUCT IDENT RBRACE { Some $3 }
+ | { None }
+;
+
+match_constr:
+ MATCH case_items case_type WITH branches END { Match($2,$3,$5) }
+;
+
+case_items:
+ case_item { [$1] }
+ | case_item COMMA case_items { $1::$3 }
+;
+
+case_item:
+ constr pred_pattern { ($1,$2) }
+;
+
+case_type:
+ RARROW constr { Some $2 }
+ | { None }
+;
+
+pred_pattern:
+ AS IDENT COLON constr { (Some $2, Some $4) }
+ | AS IDENT { (Some $2, None) }
+ | COLON constr { (None, Some $2) }
+ | { (None,None) }
+;
+
+branches:
+ BAR branch_list { $2 }
+ | branch_list { $1 }
+ | { [] }
+;
+
+branch_list:
+ patterns RARROW constr { [$1, $3] }
+ | patterns RARROW constr BAR branch_list { ($1,$3)::$5 }
+;
+
+patterns:
+ pattern { [$1] }
+ | pattern COMMA patterns { $1::$3 }
+;
+
+pattern:
+ pattern AS IDENT { PatAs($1,$3) }
+ | pattern COLON constr { PatType($1,$3) }
+ | IDENT simple_patterns { PatConstr($1,$2) }
+ | simple_pattern { $1 }
+;
+
+simple_pattern:
+ IDENT { PatVar $1 }
+ | LPAR pattern RPAR { $2 }
+;
+
+simple_patterns:
+ simple_pattern { [$1] }
+ | simple_pattern simple_patterns { $1::$2 }
+;
+
+binder:
+ IDENT { ($1,Hole) }
+ | LPAR IDENT type_cstr RPAR { ($2,$3) }
+;
+
+binders:
+ ne_binders { $1 }
+ | { [] }
+
+ne_binders:
+ binder { [$1] }
+ | binder ne_binders { $1::$2 }
+;
+
+type_cstr:
+ COLON constr { $2 }
+ | { Hole }
+;