Synthesis and Optimization of Synchronous Logic Circuits

The design automation of complex digital circuits offers important benefits. It allows the designer to reduce design time and errors, to explore more thoroughly the design space, and to cope effectively with an ever-increasing project complexity. This dissertation presents new algorithms for the logic optimization of combinational and synchronous digital circuits. These algorithms rely on a common paradigm. Namely, global optimization is achieved by the iterative local optimization of small subcircuits. The dissertation first explores the combinational case. Chapter 2 presents algorithms for the optimization of subnetworks consisting of a single-output subcircuit. The design space for this subcircuit is described implicitly by a Boolean function, a so-called don’t care function. Efficient methods for extracting this function are presented. Chapter 3 is devoted to a novel method for the optimization of multiple-output subcircuits. There, we introduce the notion of compatible gates. Compatible gates represent subsets of gates whose optimization is particularly simple. The other three chapters are devoted to the optimization of synchronous circuits. Following the lines of the combinational case, we attempt the optimization of the gate-level (rather than the state diagram -level) representation. In Chapter 4 we focus on extending combinational techniques to the sequential case. In particular, we present algorithms for finding a synchronous don’t care function that can be used in the optimization process. Unlike the combinational case, however, this approach is exact only for pipeline-like circuits. Exact approaches for general, acyclic circuits are presented in Chapter 5. There, we introduce the notion of synchronous recurrence equation. Eventually, Chapter 6 presents methods for handling feedback interconnection.