Title :
Directional derivatives of multi-valued logical functions
Author :
Zhenbin Liu ; Yuzhen Wang
Author_Institution :
Sch. of Control Sci. & Eng., Shandong Univ., Jinan, China
Abstract :
In this paper, we consider directional derivatives of multi-valued logical functions. First, we give a definition of directional derivatives for multi-valued logical functions. Second, we present a new algebraical method and establish a new algorithm to compute directional derivatives for multi-valued logical functions by using the semi-tensor product. Finally, the obtained results are applied to the fault detection of multi-valued digital circuits, and a complete test set of stuck-at faults is obtained.
Keywords :
Boolean functions; matrix algebra; tensors; directional derivatives; multivalued digital circuits; multivalued logical functions; semitensor product; Algorithm design and analysis; Calculus; Digital circuits; Educational institutions; Electrical fault detection; Fault detection; Directional derivative; Multi-valued logical function; Semi-tensor product;
Conference_Titel :
Control Conference (CCC), 2013 32nd Chinese
Conference_Location :
Xi´an
