diff --git a/compiler/global/signature.ml b/compiler/global/signature.ml
index 1c99fa5..be57d6f 100644
--- a/compiler/global/signature.ml
+++ b/compiler/global/signature.ml
@@ -18,7 +18,7 @@ let interface_format_version = "8"
 (** Node argument *)
 type arg = { a_name : name option; a_type : ty }
 
-type param = { p_name : name }
+type param = { p_name : name; p_type : ty }
 
 (** Node signature *)
 type node =
@@ -40,7 +40,7 @@ let types_of_arg_list l = List.map (fun ad -> ad.a_type) l
 
 let mk_arg name ty = { a_type = ty; a_name = name }
 
-let mk_param name = { p_name = name }
+let mk_param name ty = { p_name = name; p_type = ty }
 
 let mk_field n ty = { f_name = n; f_type = ty }
 
diff --git a/compiler/heptagon/analysis/typing.ml b/compiler/heptagon/analysis/typing.ml
index 339962f..a1ff811 100644
--- a/compiler/heptagon/analysis/typing.ml
+++ b/compiler/heptagon/analysis/typing.ml
@@ -599,9 +599,11 @@ and typing_app statefull const_env h op e_list =
           params in
         let expected_ty_list = List.map (subst_type_vars m) expected_ty_list in
         let typed_e_list = typing_args statefull h expected_ty_list e_list in
+        let result_ty_list = List.map (subst_type_vars m) result_ty_list in
+        (* Type static parameters and generate constraints *)
+        typing_node_params const_env h ty_desc.node_params params;
         let size_constrs =
           instanciate_constr m ty_desc.node_params_constraints in
-        let result_ty_list = List.map (subst_type_vars m) result_ty_list in
         List.iter add_size_constraint size_constrs;
         (prod result_ty_list,
          Ecall ( { op_desc with op_name = Modname q; op_kind = k }, reset),
@@ -767,6 +769,10 @@ and typing_args statefull h expected_ty_list e_list =
   with Invalid_argument _ ->
     error (Earity_clash(List.length e_list, List.length expected_ty_list))
 
+and typing_node_params const_env h params_sig params =
+  List.map2 (fun p_sig p -> expect_static_exp const_env no_location
+               p_sig.p_type p) params_sig params
+
 let rec typing_pat h acc = function
   | Evarpat(x) ->
       let ty = typ_of_name h x in
@@ -977,7 +983,7 @@ let solve loc env cl =
       Solve_failed c -> message loc (Econstraint_solve_failed c)
 
 let build_node_params const_env l =
-  List.fold_left (fun env n -> NamesEnv.add n (Tid Initial.pint) env)
+  List.fold_left (fun env p -> NamesEnv.add p.p_name p.p_type env)
     const_env l
 
 let node const_env const_value_env ({ n_name = f; n_statefull = statefull;
@@ -1043,9 +1049,9 @@ let build_const_value_env cd_list =
     NamesEnv.empty cd_list
 
 let build_const_env cd_list =
-  let typing_const_dec const_envenv cd =
+  let typing_const_dec const_env cd =
     expect_static_exp const_env cd.c_loc cd.c_type cd.c_value;
-     NamesEnv.add cd.c_name cd.c_type env
+     NamesEnv.add cd.c_name cd.c_type const_env
   in
     List.fold_left typing_const_env NamesEnv.empty cd_list
 
diff --git a/compiler/heptagon/parsing/hept_parser.mly b/compiler/heptagon/parsing/hept_parser.mly
index d03297d..fdd35d2 100644
--- a/compiler/heptagon/parsing/hept_parser.mly
+++ b/compiler/heptagon/parsing/hept_parser.mly
@@ -197,7 +197,7 @@ nonmt_out_params:
 
 node_params:
   | /* empty */ { [] }
-  | DOUBLE_LESS ident_list DOUBLE_GREATER { $2 }
+  | DOUBLE_LESS nonmt_params DOUBLE_GREATER { $2 }
 ;
 
 contract:
diff --git a/compiler/heptagon/parsing/parsetree.ml b/compiler/heptagon/parsing/parsetree.ml
index a2cc43f..ae8f60e 100644
--- a/compiler/heptagon/parsing/parsetree.ml
+++ b/compiler/heptagon/parsing/parsetree.ml
@@ -127,7 +127,7 @@ type node_dec =
       n_contract  : contract option;
       n_equs      : eq list;
       n_loc       : location;
-      n_params : name list; }
+      n_params : var_dec list; }
 
 type const_dec =
     { c_name : name;
diff --git a/compiler/heptagon/parsing/scoping.ml b/compiler/heptagon/parsing/scoping.ml
index 434e39c..ff9abb5 100644
--- a/compiler/heptagon/parsing/scoping.ml
+++ b/compiler/heptagon/parsing/scoping.ml
@@ -284,6 +284,9 @@ let translate_contract const_env env ct =
     Heptagon.c_local = translate_vd_list const_env env ct.c_local;
     Heptagon.c_eq = List.map (translate_eq const_env env) ct.c_eq }
 
+let param_of_var_dec vd =
+  mk_param vd.v_name vd.v_type
+
 let translate_node const_env env node =
   let const_env = build_id_list node.n_loc const_env node.n_params in
   let env = build_vd_list env (node.n_input @ node.n_output @ node.n_local) in
@@ -296,7 +299,7 @@ let translate_node const_env env node =
       (translate_contract const_env env) node.n_contract;
     Heptagon.n_equs = List.map (translate_eq const_env env) node.n_equs;
     Heptagon.n_loc = node.n_loc;
-    Heptagon.n_params = List.map Signature.mk_param node.n_params;
+    Heptagon.n_params = List.map param_of_var_dec node.n_params;
     Heptagon.n_params_constraints = []; }
 
 let translate_typedec const_env ty =