Algorithmic Aspects of Symbolic Switch Network Analysis

The work

AuthorsRandal E. Bryant
Editors
Typearticle
Year1987
Citekeybryant1987algorithmic

Where it appeared

Published inIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
PublisherInstitute of Electrical and Electronics Engineers
Volume6
Issue4
Pages618--633

Related

Distinct frombryant1981switchlevel
Distinct frombryant1982mossim
Distinct frombryant1985symbolic
Distinct frombryant1986graphbased
Distinct frombryant1987boolean
Distinct frombryant1987cosmos
Distinct fromebergen1989translating
Distinct fromseger1995formal
Distinct fromslobodova2011flexible

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Abstract

A network of switches controlled by Boolean variables can be represented as a system of Boolean equations. The solution of this system gives a symbolic description of the conducting paths in the network. Gaussian elimination provides an efficient technique for solving sparse systems of Boolean equations. For the class of networks that arise when analyzing digital metal-oxide semiconductor (MOS) circuits, a simple pivot selection rule guarantees that most s switch networks encountered in practice can be solved with O(s) operations. When represented by a directed acyclic graph, the set of Boolean formulas generated by the analysis has total size bounded by the number of operations required by the Gaussian elimination. This paper presents the mathematical basis for systems of Boolean equations, their solution by Gaussian elimination, and data structures and algorithms for representing and manipulating Boolean formulas.

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Cite it as

@article{bryant1987algorithmic,
  title        = {Algorithmic Aspects of Symbolic Switch Network Analysis},
  author       = {Randal E. Bryant},
  year         = {1987},
  journal      = {IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems},
  publisher    = {Institute of Electrical and Electronics Engineers},
  volume       = {6},
  number       = {4},
  pages        = {618--633},
  doi          = {10.1109/tcad.1987.1270309},
}

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