Maximum projections of don't care conditions in a Boolean network

The ma.ximumjlexibility of a function at a nook in a Boolean network is described by the incompletely specijied function formed using the union of the satisjiability don ‘t care set (SDC) and observability don ‘t care set (ODC) of the node. The normal representation of these sets depends on eve~ variable in the network, can be quite large and may be hard to compute. Usually, we are only interested in the don ‘t care set when restricted to a certain set of variables. We give a formulation for the don ‘t care set of a no& in terms of a pre-specifzd set of variables and prove that this formulation is, the maximum projection of the entire aim ‘t care set onto the chosen set of variables. This formulation allows computation to start at the target node andproceed by traversing the network outwards. The computation rnQy be stopped at any time yielding a valid subset of the don ‘t care set.

[1]  Robert K. Brayton,et al.  MIS: A Multiple-Level Logic Optimization System , 1987, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems.

[2]  Yahiko Kambayashi,et al.  The Transduction Method-Design of Logic Networks Based on Permissible Functions , 1989, IEEE Trans. Computers.

[3]  Eduard Cerny,et al.  An Approach to Unified Methodology of Combinational Switching Circuits , 1977, IEEE Transactions on Computers.

[4]  Robert K. Brayton,et al.  The use of observability and external don't cares for the simplification of multi-level networks , 1991, DAC '90.

[5]  Robert K. Brayton,et al.  Extracting local don't cares for network optimization , 1991, 1991 IEEE International Conference on Computer-Aided Design Digest of Technical Papers.

[6]  Carl Sechen,et al.  Boolean division and factorization using binary decision diagrams , 1994, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[7]  Giovanni De Micheli,et al.  Observability don't care sets and Boolean relations , 1990, 1990 IEEE International Conference on Computer-Aided Design. Digest of Technical Papers.