diff --git a/tests/invoke/execution_and_memory_models.cpp b/tests/invoke/execution_and_memory_models.cpp
new file mode 100644
index 000000000..d605b0cdf
--- /dev/null
+++ b/tests/invoke/execution_and_memory_models.cpp
@@ -0,0 +1,247 @@
+/*******************************************************************************
+//
+//  SYCL 2020 Conformance Test Suite
+//
+//  Copyright (c) 2023 The Khronos Group Inc.
+//
+//  Licensed under the Apache License, Version 2.0 (the "License");
+//  you may not use this file except in compliance with the License.
+//  You may obtain a copy of the License at
+//
+//     http://www.apache.org/licenses/LICENSE-2.0
+//
+//  Unless required by applicable law or agreed to in writing, software
+//  distributed under the License is distributed on an "AS IS" BASIS,
+//  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+//  See the License for the specific language governing permissions and
+//  limitations under the License.
+//
+*******************************************************************************/
+
+#include "../common/common.h"
+#include "../common/disabled_for_test_case.h"
+
+template <int n>
+class kernel;
+
+template <typename acc_t>
+void long_loop(acc_t& loop_acc, size_t buffer_size) {
+  for (int i = 0; i < 1000000; i++) {
+    int s = sycl::sqrt(float(i));
+    loop_acc[s % buffer_size] = i;
+  }
+}
+
+TEST_CASE("Execution order of three command groups submitted to the same queue",
+          "[invoke]") {
+  const size_t buffer_size = 12;
+  auto queue = sycl_cts::util::get_cts_object::queue();
+
+  std::array<int, buffer_size> data1;
+  std::array<int, buffer_size> data2;
+  std::array<int, buffer_size> res1;
+  std::array<int, buffer_size> res2;
+
+  {
+    sycl::buffer<int, 1> buffer1(data1.data(), sycl::range(buffer_size));
+    sycl::buffer<int, 1> buffer2(data2.data(), sycl::range(buffer_size));
+    sycl::buffer<int, 1> res_buffer1(res1.data(), sycl::range(buffer_size));
+    sycl::buffer<int, 1> res_buffer2(res2.data(), sycl::range(buffer_size));
+    sycl::buffer<int, 1> loop_buf(sycl::range<1>{buffer_size});
+
+    queue.submit([&](sycl::handler& cgh) {
+      auto acc1 = sycl::accessor(buffer1, cgh, sycl::write_only);
+      auto loop_acc = sycl::accessor(loop_buf, cgh, sycl::write_only);
+      cgh.single_task<kernel<1>>([=] {
+        long_loop(loop_acc, buffer_size);
+        for (int i = buffer_size - 1; i >= 0; i--) acc1[i] = i;
+      });
+    });
+    queue.submit([&](sycl::handler& cgh) {
+      auto acc2 = sycl::accessor(buffer2, cgh, sycl::write_only);
+      auto loop_acc = sycl::accessor(loop_buf, cgh, sycl::write_only);
+      cgh.single_task<kernel<2>>([=] {
+        long_loop(loop_acc, buffer_size);
+        for (int i = buffer_size - 1; i >= 0; i--) acc2[i] = i;
+      });
+    });
+    queue.submit([&](sycl::handler& cgh) {
+      auto acc1 = sycl::accessor(buffer1, cgh, sycl::read_only);
+      auto acc2 = sycl::accessor(buffer2, cgh, sycl::read_only);
+      auto res_acc1 = sycl::accessor(res_buffer1, cgh, sycl::write_only);
+      auto res_acc2 = sycl::accessor(res_buffer2, cgh, sycl::write_only);
+      cgh.parallel_for<kernel<3>>(sycl::range<1>(buffer_size),
+                                  [=](sycl::id<1> index) {
+                                    res_acc1[index] = acc1[index];
+                                    res_acc2[index] = acc2[index];
+                                  });
+    });
+    queue.wait_and_throw();
+  }
+
+  // requisites for third command were satisfied before it started to execute
+  INFO(
+      "Check that all elements in result "
+      "buffer are equal to expected values");
+  CHECK(data1 == res1);
+  CHECK(data2 == res2);
+}
+
+TEST_CASE(
+    "Execution order of three command groups submitted to the different queues",
+    "[invoke]") {
+  const std::vector<sycl::device> devices{sycl::device::get_devices()};
+
+  if (devices.size() >= 3) {
+    const size_t buffer_size = 12;
+    sycl::queue q0(devices[0]);
+    sycl::queue q1(devices[1]);
+    sycl::queue q2(devices[2]);
+
+    std::array<int, buffer_size> data1;
+    std::array<int, buffer_size> data2;
+    std::array<int, buffer_size> res1;
+    std::array<int, buffer_size> res2;
+
+    {
+      sycl::buffer<int, 1> buffer1(data1.data(), sycl::range(buffer_size));
+      sycl::buffer<int, 1> buffer2(data2.data(), sycl::range(buffer_size));
+      sycl::buffer<int, 1> res_buffer1(res1.data(), sycl::range(buffer_size));
+      sycl::buffer<int, 1> res_buffer2(res2.data(), sycl::range(buffer_size));
+      sycl::buffer<int, 1> loop_buf(sycl::range<1>{buffer_size});
+
+      q0.submit([&](sycl::handler& cgh) {
+        auto acc1 = sycl::accessor(buffer1, cgh, sycl::write_only);
+        auto loop_acc = sycl::accessor(loop_buf, cgh, sycl::write_only);
+        cgh.single_task<kernel<4>>([=] {
+          long_loop(loop_acc, buffer_size);
+          for (int i = buffer_size - 1; i >= 0; i--) acc1[i] = i;
+        });
+      });
+      q1.submit([&](sycl::handler& cgh) {
+        auto acc2 = sycl::accessor(buffer2, cgh, sycl::write_only);
+        auto loop_acc = sycl::accessor(loop_buf, cgh, sycl::write_only);
+        cgh.single_task<kernel<5>>([=] {
+          long_loop(loop_acc, buffer_size);
+          for (int i = buffer_size - 1; i >= 0; i--) acc2[i] = i;
+        });
+      });
+      q2.submit([&](sycl::handler& cgh) {
+        auto acc1 = sycl::accessor(buffer1, cgh, sycl::read_only);
+        auto acc2 = sycl::accessor(buffer2, cgh, sycl::read_only);
+        auto res_acc1 = sycl::accessor(res_buffer1, cgh, sycl::write_only);
+        auto res_acc2 = sycl::accessor(res_buffer2, cgh, sycl::write_only);
+        cgh.parallel_for<kernel<6>>(sycl::range<1>(buffer_size),
+                                    [=](sycl::id<1> index) {
+                                      res_acc1[index] = acc1[index];
+                                      res_acc2[index] = acc2[index];
+                                    });
+      });
+    }
+
+    INFO(
+        "Check that all elements in result buffer are equal to expected values "
+        "after runing on different queues");
+    CHECK(data1 == res1);
+    CHECK(data2 == res2);
+
+  } else {
+    SKIP("Test requires 3 or more devices");
+  }
+}
+
+DISABLED_FOR_TEST_CASE(hipSYCL)
+("Requirements on overlapping sub-buffers", "[invoke]")({
+  auto device = sycl_cts::util::get_cts_object::device();
+  auto queue = sycl_cts::util::get_cts_object::queue();
+
+  if (device.has(sycl::aspect::usm_device_allocations)) {
+    const auto mem_base_addr_align =
+        device.get_info<sycl::info::device::mem_base_addr_align>();
+    const size_t buffer_size = mem_base_addr_align * 3;
+
+    bool res = false;
+
+    {
+      sycl::buffer<bool, 1> res_buffer(&res, sycl::range<1>{1});
+      sycl::buffer<int, 1> buffer(sycl::range<1>{buffer_size});
+      sycl::buffer<int, 1> sub_buf1(buffer, 0, mem_base_addr_align * 2);
+      sycl::buffer<int, 1> sub_buf2(buffer, mem_base_addr_align,
+                                    mem_base_addr_align * 2);
+      sycl::buffer<int, 1> loop_buf(sycl::range<1>{buffer_size});
+
+      int* pflag = sycl::malloc_device<int>(1, queue);
+      // assign pflag value to 0
+      queue
+          .submit([&](sycl::handler& cgh) {
+            cgh.single_task<kernel<7>>([=] { *pflag = 0; });
+          })
+          .wait();
+      queue.submit([&](sycl::handler& cgh) {
+        auto acc1 = sycl::accessor(sub_buf1, cgh, sycl::write_only);
+        auto loop_acc = sycl::accessor(loop_buf, cgh, sycl::write_only);
+        cgh.single_task<kernel<8>>([=] {
+          sycl::atomic_ref<int, sycl::memory_order::relaxed,
+                           sycl::memory_scope::device>
+              rflag(*pflag);
+          for (int i = acc1.size() - 1; i >= 0; i--) acc1[i] = i;
+          long_loop(loop_acc, buffer_size);
+          rflag = 1;
+        });
+      });
+      queue.submit([&](sycl::handler& cgh) {
+        auto acc2 = sycl::accessor(sub_buf2, cgh, sycl::write_only);
+        auto res_acc = sycl::accessor(res_buffer, cgh, sycl::write_only);
+        cgh.single_task<kernel<9>>([=] {
+          sycl::atomic_ref<int, sycl::memory_order::relaxed,
+                           sycl::memory_scope::device>
+              rflag(*pflag);
+          res_acc[0] = (rflag == 1);
+          for (int i = acc2.size() - 1; i >= 0; i--) acc2[i] = i;
+        });
+      });
+      queue.wait_and_throw();
+    }
+
+    INFO(
+        "Check that requisites for second command with overlapping sub-buffer "
+        "were satisfied before it started to execute");
+    CHECK(res);
+
+  } else {
+    SKIP("Device does not support USM device allocations");
+  }
+});
+
+TEST_CASE("Host accessor as a barrier", "[invoke]") {
+  auto device = sycl_cts::util::get_cts_object::device();
+  auto queue = sycl_cts::util::get_cts_object::queue();
+
+  if (device.has(sycl::aspect::usm_atomic_shared_allocations)) {
+    const size_t buffer_size = 12;
+
+    {
+      sycl::buffer<int, 1> buffer(sycl::range<1>{buffer_size});
+      sycl::buffer<int, 1> loop_buf(sycl::range<1>{buffer_size});
+      int* pflag = sycl::malloc_shared<int>(1, queue);
+
+      queue.submit([&](sycl::handler& cgh) {
+        auto acc = sycl::accessor(buffer, cgh, sycl::write_only);
+        auto loop_acc = sycl::accessor(loop_buf, cgh, sycl::write_only);
+        cgh.single_task<kernel<10>>([=] {
+          long_loop(loop_acc, buffer_size);
+          for (int i = buffer_size - 1; i >= 0; i--) acc[i] = i;
+          *pflag = 42;
+        });
+      });
+      sycl::host_accessor<int, 1> host_acc(buffer);
+
+      INFO(
+          "Check that *pflag is equal to expected value, after host_acc "
+          "creation");  // that means that host_accessor acts as barrier
+      CHECK(*pflag == 42);
+    }
+  } else {
+    SKIP("Device does not support USM atomic shared allocations");
+  }
+}