diff --git a/lib/is_single_threaded.c b/lib/is_single_threaded.c
index f1ed2fe..2762516 100644
--- a/lib/is_single_threaded.c
+++ b/lib/is_single_threaded.c
@@ -12,34 +12,44 @@
 
 #include <linux/sched.h>
 
-/**
- * is_single_threaded - Determine if a thread group is single-threaded or not
- * @p: A task in the thread group in question
- *
- * This returns true if the thread group to which a task belongs is single
- * threaded, false if it is not.
+/*
+ * Returns true if the task does not share ->mm with another thread/process.
  */
-bool is_single_threaded(struct task_struct *p)
+bool is_single_threaded(struct task_struct *task)
 {
-	struct task_struct *g, *t;
-	struct mm_struct *mm = p->mm;
+	struct mm_struct *mm = task->mm;
+	struct task_struct *p, *t;
+	bool ret;
 
-	if (atomic_read(&p->signal->count) != 1)
-		goto no;
+	might_sleep();
 
-	if (atomic_read(&p->mm->mm_users) != 1) {
-		read_lock(&tasklist_lock);
-		do_each_thread(g, t) {
-			if (t->mm == mm && t != p)
-				goto no_unlock;
-		} while_each_thread(g, t);
-		read_unlock(&tasklist_lock);
+	if (atomic_read(&task->signal->live) != 1)
+		return false;
+
+	if (atomic_read(&mm->mm_users) == 1)
+		return true;
+
+	ret = false;
+	down_write(&mm->mmap_sem);
+	rcu_read_lock();
+	for_each_process(p) {
+		if (unlikely(p->flags & PF_KTHREAD))
+			continue;
+		if (unlikely(p == task->group_leader))
+			continue;
+
+		t = p;
+		do {
+			if (unlikely(t->mm == mm))
+				goto found;
+			if (likely(t->mm))
+				break;
+		} while_each_thread(p, t);
 	}
+	ret = true;
+found:
+	rcu_read_unlock();
+	up_write(&mm->mmap_sem);
 
-	return true;
-
-no_unlock:
-	read_unlock(&tasklist_lock);
-no:
-	return false;
+	return ret;
 }