Lossless Compression Using Two-Level and Multilevel Boolean Minimization

There has been work considering the use of two-level Boolean minimization for lossless data compression. However, two-level Boolean minimization is known to be suboptimal for circuit design as it introduces an artificial restriction by representing the minimized expression in sum of product form. As the use of multilevel Boolean minimization can lead to improvements in chip area compared to circuits designed using two-level minimization, it is natural to investigate compression via multilevel Boolean minimization. We here develop a lossless compression algorithm using a multilevel Boolean minimizer. Contrary to our expectations, two-level minimization appears to be better suited for data compression. This is a result about the structural complexity in multilevel minimized circuits