@inproceedings{VanGelderTsuji93, Author = "Van Gelder, Allen and Tsuji, Yumi K.", Title = "Incomplete Thoughts about Incomplete Satisfiability Procedures", Year = 1993, Month = "October", BOOKTitle = "Second DIMACS Challenge Workshop: Cliques, Coloring and Satisfiability", ANNOTE = "{Abstract: Recent successes with incomplete satisfiability procedures raise numerous issues about their uses and evaluation. Most such procedures search for "yes" answers, and give up if they do not find one. The need for "no" answers as well is addressed. It is shown that a recent approximation algorithm of Yannakakis can produce "no" answers only in somewhat trivial cases. The possibility of salvaging information from a "yes" program that is giving up, and using it to find a "no" answer is discussed. Two incomplete procedures were studied experimentally. One (based on "easy" resolutions) produces "no" answers. The other (based on Johnson's maximum satisfiability approximation algorithm) produces "yes" answers. Both are deterministic, polynomial time algorithms, quadratic with careful implementation. Combined, they solved 83\% of the formulas generated from a circuit-based applications, ranging from 400 to over 10000 variables. }" }