diff --git a/include/xsimd/types/xsimd_api.hpp b/include/xsimd/types/xsimd_api.hpp
index dcaddd451..6a1526d95 100644
--- a/include/xsimd/types/xsimd_api.hpp
+++ b/include/xsimd/types/xsimd_api.hpp
@@ -648,6 +648,21 @@ namespace xsimd
         return x == y;
     }
 
+    /**
+     * @ingroup batch_logical
+     *
+     * Element-wise equality comparison of batches of boolean values \c x and \c y.
+     * @param x batch of booleans involved in the comparison.
+     * @param y batch of booleans involved in the comparison.
+     * @return a boolean batch.
+     */
+    template <class T, class A>
+    inline auto eq(batch_bool<T, A> const& x, batch_bool<T, A> const& y) noexcept -> decltype(x == y)
+    {
+        detail::static_check_supported_config<T, A>();
+        return x == y;
+    }
+
     /**
      * @ingroup batch_math
      *
@@ -1521,6 +1536,21 @@ namespace xsimd
         return x != y;
     }
 
+    /**
+     * @ingroup batch_logical
+     *
+     * Element-wise inequality comparison of batches of boolean values \c x and \c y.
+     * @param x batch of booleans involved in the comparison.
+     * @param y batch of booleans involved in the comparison.
+     * @return a boolean batch.
+     */
+    template <class T, class A>
+    inline auto neq(batch_bool<T, A> const& x, batch_bool<T, A> const& y) noexcept -> decltype(x != y)
+    {
+        detail::static_check_supported_config<T, A>();
+        return x != y;
+    }
+
     /**
      * @ingroup batch_arithmetic
      *