diff --git a/concore_cli/commands/_process_match.py b/concore_cli/commands/_process_match.py
index e803eb1..f1b143e 100644
--- a/concore_cli/commands/_process_match.py
+++ b/concore_cli/commands/_process_match.py
@@ -2,19 +2,31 @@
 import os
 
 
+# Runtime files mkconcore.py copies into a node folder, one set per language.
+RUNTIME_FILES = (
+    "concore.py",
+    "concoredocker.py",
+    "concore.hpp",
+    "concoredocker.hpp",
+    "concore.java",
+    "concoredocker.java",
+    "concore.v",
+    "concoredocker.v",
+    "concore_read.m",
+)
+
+
 def has_concore_markers(cwd):
     """True only if `cwd` looks like an actual concore-generated node
     working directory, i.e. it contains the runtime files mkconcore.py
     copies into every generated study (concore.iport/oport plus the
-    runtime module itself)."""
+    runtime module for the node's language)."""
     if not cwd:
         return False
     try:
         if not os.path.isfile(os.path.join(cwd, "concore.iport")):
             return False
-        return os.path.isfile(os.path.join(cwd, "concore.py")) or os.path.isfile(
-            os.path.join(cwd, "concoredocker.py")
-        )
+        return any(os.path.isfile(os.path.join(cwd, name)) for name in RUNTIME_FILES)
     except OSError:
         return False
 
diff --git a/tests/test_process_match.py b/tests/test_process_match.py
index 9f39649..b218d19 100644
--- a/tests/test_process_match.py
+++ b/tests/test_process_match.py
@@ -9,6 +9,8 @@
 
 import os
 
+import pytest
+
 from concore_cli.commands._process_match import has_concore_markers, is_concore_process
 
 
@@ -23,6 +25,16 @@ def test_true_with_docker_runtime_file(self, tmp_path):
         (tmp_path / "concoredocker.py").write_text("")
         assert has_concore_markers(str(tmp_path)) is True
 
+    @pytest.mark.parametrize(
+        "runtime_file",
+        ["concore.hpp", "concore.java", "concore.v", "concore_read.m"],
+    )
+    def test_true_for_non_python_nodes(self, tmp_path, runtime_file):
+        # C++, Java, Verilog and MATLAB nodes never get concore.py
+        (tmp_path / "concore.iport").write_text("{}")
+        (tmp_path / runtime_file).write_text("")
+        assert has_concore_markers(str(tmp_path)) is True
+
     def test_false_without_iport(self, tmp_path):
         (tmp_path / "concore.py").write_text("")
         assert has_concore_markers(str(tmp_path)) is False