diff --git a/examples/spmm/spmm.cc b/examples/spmm/spmm.cc
index f29ae9088e..e4778ab3ed 100644
--- a/examples/spmm/spmm.cc
+++ b/examples/spmm/spmm.cc
@@ -575,7 +575,7 @@ class SpMM25D {
   /// 3-D process grid only
   template<ttg::ExecutionSpace Space_>
   class MultiplyAdd : public TT<Key<3>, std::tuple<Out<Key<2>, Blk>, Out<Key<3>, Blk>>, MultiplyAdd<Space_>,
-                                ttg::typelist<const Blk, const Blk, Blk>> {
+                                ttg::typelist<const Blk, const Blk, Blk>, Space_> {
     static constexpr const bool is_device_space = (Space_ != ttg::ExecutionSpace::Host);
     using task_return_type = std::conditional_t<is_device_space, ttg::device::Task, void>;
 
diff --git a/ttg/ttg/madness/fwd.h b/ttg/ttg/madness/fwd.h
index b164a6f50b..600e4f16af 100644
--- a/ttg/ttg/madness/fwd.h
+++ b/ttg/ttg/madness/fwd.h
@@ -9,7 +9,9 @@
 
 namespace ttg_madness {
 
-  template <typename keyT, typename output_terminalsT, typename derivedT, typename input_valueTs = ttg::typelist<>>
+  template <typename keyT, typename output_terminalsT, typename derivedT,
+            typename input_valueTs = ttg::typelist<>,
+            ttg::ExecutionSpace Space = ttg::ExecutionSpace::Host>
   class TT;
 
   /// \internal the OG name
diff --git a/ttg/ttg/madness/ttg.h b/ttg/ttg/madness/ttg.h
index 69ceafb49b..7997939c47 100644
--- a/ttg/ttg/madness/ttg.h
+++ b/ttg/ttg/madness/ttg.h
@@ -190,8 +190,9 @@ namespace ttg_madness {
   /// values
   ///         flowing into this TT; a const type indicates nonmutating (read-only) use, nonconst type
   ///         indicates mutating use (e.g. the corresponding input can be used as scratch, moved-from, etc.)
-  template <typename keyT, typename output_terminalsT, typename derivedT, typename input_valueTs>
-  class TT : public ttg::TTBase, public ::madness::WorldObject<TT<keyT, output_terminalsT, derivedT, input_valueTs>> {
+  template <typename keyT, typename output_terminalsT, typename derivedT, typename input_valueTs, ttg::ExecutionSpace Space>
+  class TT : public ttg::TTBase, public ::madness::WorldObject<TT<keyT, output_terminalsT, derivedT, input_valueTs, Space>> {
+    static_assert(Space == ttg::ExecutionSpace::Host, "MADNESS backend only supports Host Execution Space");
     static_assert(ttg::meta::is_typelist_v<input_valueTs>,
                   "The fourth template for ttg::TT must be a ttg::typelist containing the input types");
     using input_tuple_type = ttg::meta::typelist_to_tuple_t<input_valueTs>;
diff --git a/ttg/ttg/make_tt.h b/ttg/ttg/make_tt.h
index f46cbd7c8c..3cabea508a 100644
--- a/ttg/ttg/make_tt.h
+++ b/ttg/ttg/make_tt.h
@@ -17,7 +17,7 @@ class CallableWrapTT
     : public TT<
           keyT, output_terminalsT,
           CallableWrapTT<funcT, returnT, funcT_receives_input_tuple, funcT_receives_outterm_tuple, space, keyT, output_terminalsT, input_valuesT...>,
-          ttg::typelist<input_valuesT...>> {
+          ttg::typelist<input_valuesT...>, space> {
   using baseT = typename CallableWrapTT::ttT;
 
   using input_values_tuple_type = typename baseT::input_values_tuple_type;
@@ -44,11 +44,6 @@ class CallableWrapTT
       void;
 #endif  // TTG_HAVE_COROUTINE
 
-public:
-  static constexpr bool have_cuda_op = (space == ttg::ExecutionSpace::CUDA);
-  static constexpr bool have_hip_op  = (space == ttg::ExecutionSpace::HIP);
-  static constexpr bool have_level_zero_op = (space == ttg::ExecutionSpace::L0);
-
 protected:
 
   template<typename ReturnT>
diff --git a/ttg/ttg/parsec/fwd.h b/ttg/ttg/parsec/fwd.h
index c7e0b5551f..6ac6618671 100644
--- a/ttg/ttg/parsec/fwd.h
+++ b/ttg/ttg/parsec/fwd.h
@@ -13,7 +13,9 @@ extern "C" struct parsec_context_s;
 
 namespace ttg_parsec {
 
-  template <typename keyT, typename output_terminalsT, typename derivedT, typename input_valueTs = ttg::typelist<>>
+  template <typename keyT, typename output_terminalsT, typename derivedT,
+            typename input_valueTs = ttg::typelist<>,
+            ttg::ExecutionSpace Space = ttg::ExecutionSpace::Host>
   class TT;
 
   /// \internal the OG name
diff --git a/ttg/ttg/parsec/task.h b/ttg/ttg/parsec/task.h
index f29ca8ecb5..65712dec1c 100644
--- a/ttg/ttg/parsec/task.h
+++ b/ttg/ttg/parsec/task.h
@@ -252,9 +252,9 @@ namespace ttg_parsec {
       template<ttg::ExecutionSpace Space>
       parsec_hook_return_t invoke_op() {
         if constexpr (Space == ttg::ExecutionSpace::Host) {
-          return TT::template static_op<Space>(&this->parsec_task);
+          return TT::static_op(&this->parsec_task);
         } else {
-          return TT::template device_static_op<Space>(&this->parsec_task);
+          return TT::device_static_op(&this->parsec_task);
         }
       }
 
@@ -263,7 +263,7 @@ namespace ttg_parsec {
         if constexpr (Space == ttg::ExecutionSpace::Host) {
           return PARSEC_HOOK_RETURN_DONE;
         } else {
-          return TT::template device_static_evaluate<Space>(&this->parsec_task);
+          return TT::device_static_evaluate(&this->parsec_task);
         }
       }
 
@@ -310,9 +310,9 @@ namespace ttg_parsec {
       template<ttg::ExecutionSpace Space>
       parsec_hook_return_t invoke_op() {
         if constexpr (Space == ttg::ExecutionSpace::Host) {
-          return TT::template static_op<Space>(&this->parsec_task);
+          return TT::static_op(&this->parsec_task);
         } else {
-          return TT::template device_static_op<Space>(&this->parsec_task);
+          return TT::device_static_op(&this->parsec_task);
         }
       }
 
@@ -321,7 +321,7 @@ namespace ttg_parsec {
         if constexpr (Space == ttg::ExecutionSpace::Host) {
           return PARSEC_HOOK_RETURN_DONE;
         } else {
-          return TT::template device_static_evaluate<Space>(&this->parsec_task);
+          return TT::device_static_evaluate(&this->parsec_task);
         }
       }
 
diff --git a/ttg/ttg/parsec/ttg.h b/ttg/ttg/parsec/ttg.h
index ae04194e0f..c21df816f3 100644
--- a/ttg/ttg/parsec/ttg.h
+++ b/ttg/ttg/parsec/ttg.h
@@ -512,8 +512,9 @@ namespace ttg_parsec {
 #endif  // TTG_USE_USER_TERMDET
     }
 
-    template <typename keyT, typename output_terminalsT, typename derivedT, typename input_valueTs = ttg::typelist<>>
-    void register_tt_profiling(const TT<keyT, output_terminalsT, derivedT, input_valueTs> *t) {
+    template <typename keyT, typename output_terminalsT, typename derivedT,
+              typename input_valueTs = ttg::typelist<>, ttg::ExecutionSpace Space>
+    void register_tt_profiling(const TT<keyT, output_terminalsT, derivedT, input_valueTs, Space> *t) {
 #if defined(PARSEC_PROF_TRACE)
       std::stringstream ss;
       build_composite_name_rec(t->ttg_ptr(), ss);
@@ -1181,7 +1182,7 @@ namespace ttg_parsec {
 
   }  // namespace detail
 
-  template <typename keyT, typename output_terminalsT, typename derivedT, typename input_valueTs>
+  template <typename keyT, typename output_terminalsT, typename derivedT, typename input_valueTs, ttg::ExecutionSpace Space>
   class TT : public ttg::TTBase, detail::ParsecTTBase {
    private:
     /// preconditions
@@ -1218,29 +1219,17 @@ namespace ttg_parsec {
    public:
     /// @return true if derivedT::have_cuda_op exists and is defined to true
     static constexpr bool derived_has_cuda_op() {
-      if constexpr (ttg::meta::is_detected_v<have_cuda_op_non_type_t, derivedT>) {
-        return derivedT::have_cuda_op;
-      } else {
-        return false;
-      }
+      return Space == ttg::ExecutionSpace::CUDA;
     }
 
     /// @return true if derivedT::have_hip_op exists and is defined to true
     static constexpr bool derived_has_hip_op() {
-      if constexpr (ttg::meta::is_detected_v<have_hip_op_non_type_t, derivedT>) {
-        return derivedT::have_hip_op;
-      } else {
-        return false;
-      }
+      return Space == ttg::ExecutionSpace::HIP;
     }
 
     /// @return true if derivedT::have_hip_op exists and is defined to true
     static constexpr bool derived_has_level_zero_op() {
-      if constexpr (ttg::meta::is_detected_v<have_level_zero_op_non_type_t, derivedT>) {
-        return derivedT::have_level_zero_op;
-      } else {
-        return false;
-      }
+      return Space == ttg::ExecutionSpace::L0;
     }
 
     /// @return true if the TT supports device execution
@@ -1355,18 +1344,17 @@ namespace ttg_parsec {
     /// dispatches a call to derivedT::op
     /// @return void if called a synchronous function, or ttg::coroutine_handle<> if called a coroutine (if non-null,
     ///    points to the suspended coroutine)
-    template <ttg::ExecutionSpace Space, typename... Args>
+    template <typename... Args>
     auto op(Args &&...args) {
       derivedT *derived = static_cast<derivedT *>(this);
-      //if constexpr (Space == ttg::ExecutionSpace::Host) {
-        using return_type = decltype(derived->op(std::forward<Args>(args)...));
-        if constexpr (std::is_same_v<return_type,void>) {
-          derived->op(std::forward<Args>(args)...);
-          return;
-        }
-        else {
-          return derived->op(std::forward<Args>(args)...);
-        }
+      using return_type = decltype(derived->op(std::forward<Args>(args)...));
+      if constexpr (std::is_same_v<return_type,void>) {
+        derived->op(std::forward<Args>(args)...);
+        return;
+      }
+      else {
+        return derived->op(std::forward<Args>(args)...);
+      }
     }
 
     template <std::size_t i, typename terminalT, typename Key>
@@ -1419,7 +1407,6 @@ namespace ttg_parsec {
     /**
      * Submit callback called by PaRSEC once all input transfers have completed.
      */
-    template <ttg::ExecutionSpace Space>
     static int device_static_submit(parsec_device_gpu_module_t  *gpu_device,
                                     parsec_gpu_task_t           *gpu_task,
                                     parsec_gpu_exec_stream_t    *gpu_stream) {
@@ -1461,7 +1448,7 @@ namespace ttg_parsec {
 #endif // defined(PARSEC_HAVE_DEV_LEVEL_ZERO_SUPPORT) && defined(TTG_HAVE_LEVEL_ZERO)
 
       /* Here we call back into the coroutine again after the transfers have completed */
-      static_op<Space>(&task->parsec_task);
+      static_op(&task->parsec_task);
 
       ttg::device::detail::reset_current();
 
@@ -1503,7 +1490,6 @@ namespace ttg_parsec {
       return rc;
     }
 
-    template <ttg::ExecutionSpace Space>
     static parsec_hook_return_t device_static_evaluate(parsec_task_t* parsec_task) {
 
       task_t *task = (task_t*)parsec_task;
@@ -1518,7 +1504,7 @@ namespace ttg_parsec {
         gpu_task->task_type = 0; // user task
         gpu_task->last_data_check_epoch = std::numeric_limits<uint64_t>::max(); // used internally
         gpu_task->pushout = 0;
-        gpu_task->submit = &TT::device_static_submit<Space>;
+        gpu_task->submit = &TT::device_static_submit;
 
         // one way to force the task device
         // currently this will probably break all of PaRSEC if this hint
@@ -1536,7 +1522,7 @@ namespace ttg_parsec {
         task->dev_ptr->task_class = *task->parsec_task.task_class;
 
         // first invocation of the coroutine to get the coroutine handle
-        static_op<Space>(parsec_task);
+        static_op(parsec_task);
 
         /* when we come back here, the flows in gpu_task are set (see register_device_memory) */
 
@@ -1586,7 +1572,6 @@ namespace ttg_parsec {
 
     }
 
-    template <ttg::ExecutionSpace Space>
     static parsec_hook_return_t device_static_op(parsec_task_t* parsec_task) {
       static_assert(derived_has_device_op());
 
@@ -1658,7 +1643,6 @@ namespace ttg_parsec {
     }
 #endif  // TTG_HAVE_DEVICE
 
-    template <ttg::ExecutionSpace Space>
     static parsec_hook_return_t static_op(parsec_task_t *parsec_task) {
 
       task_t *task = (task_t*)parsec_task;
@@ -1684,14 +1668,14 @@ namespace ttg_parsec {
 
         if constexpr (!ttg::meta::is_void_v<keyT> && !ttg::meta::is_empty_tuple_v<input_values_tuple_type>) {
           auto input = make_tuple_of_ref_from_array(task, std::make_index_sequence<numinvals>{});
-          TTG_PROCESS_TT_OP_RETURN(suspended_task_address, task->coroutine_id, baseobj->template op<Space>(task->key, std::move(input), obj->output_terminals));
+          TTG_PROCESS_TT_OP_RETURN(suspended_task_address, task->coroutine_id, baseobj->op(task->key, std::move(input), obj->output_terminals));
         } else if constexpr (!ttg::meta::is_void_v<keyT> && ttg::meta::is_empty_tuple_v<input_values_tuple_type>) {
-          TTG_PROCESS_TT_OP_RETURN(suspended_task_address, task->coroutine_id, baseobj->template op<Space>(task->key, obj->output_terminals));
+          TTG_PROCESS_TT_OP_RETURN(suspended_task_address, task->coroutine_id, baseobj->op(task->key, obj->output_terminals));
         } else if constexpr (ttg::meta::is_void_v<keyT> && !ttg::meta::is_empty_tuple_v<input_values_tuple_type>) {
           auto input = make_tuple_of_ref_from_array(task, std::make_index_sequence<numinvals>{});
-          TTG_PROCESS_TT_OP_RETURN(suspended_task_address, task->coroutine_id, baseobj->template op<Space>(std::move(input), obj->output_terminals));
+          TTG_PROCESS_TT_OP_RETURN(suspended_task_address, task->coroutine_id, baseobj->op(std::move(input), obj->output_terminals));
         } else if constexpr (ttg::meta::is_void_v<keyT> && ttg::meta::is_empty_tuple_v<input_values_tuple_type>) {
-          TTG_PROCESS_TT_OP_RETURN(suspended_task_address, task->coroutine_id, baseobj->template op<Space>(obj->output_terminals));
+          TTG_PROCESS_TT_OP_RETURN(suspended_task_address, task->coroutine_id, baseobj->op(obj->output_terminals));
         } else {
           ttg::abort();
         }
@@ -1767,7 +1751,6 @@ namespace ttg_parsec {
       return PARSEC_HOOK_RETURN_DONE;
     }
 
-    template <ttg::ExecutionSpace Space>
     static parsec_hook_return_t static_op_noarg(parsec_task_t *parsec_task) {
       task_t *task = static_cast<task_t*>(parsec_task);
 
@@ -1783,9 +1766,9 @@ namespace ttg_parsec {
         assert(detail::parsec_ttg_caller == NULL);
         detail::parsec_ttg_caller = task;
         if constexpr (!ttg::meta::is_void_v<keyT>) {
-          TTG_PROCESS_TT_OP_RETURN(suspended_task_address, task->coroutine_id, baseobj->template op<Space>(task->key, obj->output_terminals));
+          TTG_PROCESS_TT_OP_RETURN(suspended_task_address, task->coroutine_id, baseobj->op(task->key, obj->output_terminals));
         } else if constexpr (ttg::meta::is_void_v<keyT>) {
-          TTG_PROCESS_TT_OP_RETURN(suspended_task_address, task->coroutine_id, baseobj->template op<Space>(obj->output_terminals));
+          TTG_PROCESS_TT_OP_RETURN(suspended_task_address, task->coroutine_id, baseobj->op(obj->output_terminals));
         } else  // unreachable
           ttg:: abort();
         detail::parsec_ttg_caller = NULL;
@@ -4385,6 +4368,7 @@ namespace ttg_parsec {
             return ttg::device::Device(dm(key), ttg::ExecutionSpace::L0);
           } else {
             throw std::runtime_error("Unknown device type!");
+            return ttg::device::Device{};
           }
         };
       }