It has been previously shown that given a finite set of clauses a corresponding graph can be constructed to help determine if a SAT problem in CNF is satisfiable by looking for cliques in the associated graph. This paper uses a similar method to convert the SAT problem to a finite graph. Differing from the traditional approach, in this case, the vertex incidence representation on a given Clifford algebra can be utilized on complement graphs to find independent sets. This approach gives a concrete method to determine not only if a SAT problem is satisfiable, but also yields all satisfying truth assignments.
|Advisor:||Staples, G. S.|
|Commitee:||Loreaux, Jireh, Parish, James|
|School:||Southern Illinois University at Edwardsville|
|School Location:||United States -- Illinois|
|Source:||MAI 58/03M(E), Masters Abstracts International|
|Keywords:||Boolean satisfiability, Graph theory, Zeons|
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