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The Boolean Satisfiability Problem (SAT) - Ptolemy Project

Fundamental Algorithms for System Modeling, Analysis, and OptimizationEdward A. Lee, Jaijeet Roychowdhury, Sanjit A. SeshiaUC BerkeleyEECS 144/244 Fall 2011 Copyright 2010-11, E. A. Lee, J. Roychowdhury, S. A. Seshia, All rights reservedBoolean Satisfiability (SAT) Solving2 The Boolean Satisfiability Problem (SAT) Given: A Boolean formula F(x1, x2, x3, .., xn) Can F evaluate to 1 (true)? Is F satisfiable? If yes, return values to xi s (satisfying assignment) that make F true 3 Why is SAT important?

Backbones and Backdoors • Backbone [Parkes; Monasson et al.] – Subset of literals that must be true in every satisfying assignment (if one exists) – Empirically related to hardness of problems • Backdoor [Williams, Gomes, Selman] – Subset of variables such that once you’ve given those a suitable assignment (if one exists), the rest ...

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