ARM develops an M-Profile vector extension solution in terms of ARMv8.1-M micro processor architecture and names it ARM Helium. It is declared that ARM Helium can increase the machine learning performance of the ARM Cortex-M processor by up to 15 times. As the Internet of Things develops rapidly, the correct execution of microprocessors is important. In addition, the official manual of instruction sets provides a basis for developing chip simulators and on-chip applications, and thus it is the basic guarantee of program correctness. This study introduces these mantic correctness of vectorized machine learning instructions in the official manual of the ARMv8.1-M architecture by using K Framework. Furthermore, the study automatically extracts pseudo codes describing the vectorized machine learning instruction operation based on the manual and then formalizes them in semantics rules. With the executable framework provided by K Framework, the correctness of machine learning instructions in arithmetic operation is verified.