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Acceleration of the SAT Problem

Zivojin Sustran , ETF, University of Belgrade Veljko Milutinovic , ETF, University of Belgrade Zoran Ognjanovic , Mathematical Institute of the Serbian Academy of Sciences and Arts. Acceleration of the SAT Problem. MyWork in a NutShell. Introduction: Synergy of Logics and CS

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Acceleration of the SAT Problem

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  1. ZivojinSustran, ETF, University of Belgrade VeljkoMilutinovic, ETF, University of Belgrade ZoranOgnjanovic, Mathematical Institute of the Serbian Academy of Sciences and Arts Acceleration of the SAT Problem

  2. MyWork in a NutShell • Introduction: Synergy of Logics and CS • Problem: Moving SAT to Maxeler • Existing Solutions: Many and none • Essence: Map+Optimize (PACT) • Details: MyPhD • Analysis: Math+Simulation • Conclusion: Expected 10000 (SPC) • Full work on the web: URL=http://home.etf.rs/~vm/os/vlsi/predavanja/maxeler.html

  3. The SATisfiability Problem • Essence of SAT The problem of determining if there exists an interpretation,which satisfies the formula. • Formula for SATF = (x11·x12·x13) +(x21·x22·x23)+(x31·x32·x33)+… • Applications of SAT • VLSI Design

  4. Implementation of SAT • Bad: Limited scalability. • Good: No data interdependencies among loop iterations. • Excellent: The best potentials for acceleration on DataFlow machines.

  5. Kernel(S) Generation of variables permutations Function calculation Results checking

  6. Performance • Run time on MAX 2 and MAX 3 = Z2 and Z3 • Run time on i7 = Z7 • Speedup on MAX 2 and MAX 3 = X2 and X3 • Power reduction: SasaStojanovic is our expert!

  7. Q+A: zika@etf.bg.ac.rs

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