{'fraction_non_alphanumeric': 0.033105022831050226, 'fraction_numerical': 0.0, 'mean_word_length': 4.80794701986755, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Stuck-at Fault Diagnosis of Four-bit Carry Look-ahead Adder by Shannon Expansion via Semi-tensor Product

In this paper, a stuck-at fault diagnosis algorithm is proposed for the four-bit carry look-ahead adder based on Shannon expansion and semi-tensor product. First, the algebraic representation of Shannon expansion is introduced via the semi-tensor product. Second, a sum-of-product four-bit carry look-ahead adder is given by a Python library for electronic design automation through fixing the order of input signals. Third, by the definition of stuck-at faults, the problem of stuck-at fault diagnosis is transformed into solving the system of linear equations based on the algebraic representation of Shannon expansion. Finally, the fault diagnosis of four-bit carry look-ahead adder is carried out for a special stuck-at fault case to validate the proposed algorithm.