Compact and Testable Circuits for Regular Functions

We propose a new synthesis approach based on the SPP three-level logic minimization of D-reducible Boolean functions. This approach supplies a new tool for efficient minimization, based on the idea of exploiting a Boolean function regularity to get more compact expressions. D-reducible functions can be efficiently synthesized giving rise to new four-level logic forms called DRedSPP. These forms are often smaller than the corresponding minimum SPP forms, and are fully testable under the Stuck-At Fault Model. Moreover, the computational time needed to derive a DRedSPP form for a D-reducible function f is nearly always less than the time required to derive an SPP representation of f