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Acceleration of the SAT Problem

Learn about moving SAT to Maxeler for improved performance. Explore the essence of SAT, existing solutions, and detailed analysis. Discover the synergy of logic and computer science in solving SAT efficiently.

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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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