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Applications of Propositional Reasoning Systems

Applications of Propositional Reasoning Systems. CSE 473 – Autumn 2003. Testing Circuit Equivalence. Do two circuits compute the same function? Circuit optimization Is there input for which the two circuits compute different values?. C. C’. nand. A. B. A. B.

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Applications of Propositional Reasoning Systems

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  1. Applications of Propositional Reasoning Systems CSE 473 – Autumn 2003

  2. Testing Circuit Equivalence • Do two circuits compute the same function? • Circuit optimization • Is there input for which the two circuits compute different values? C C’ nand A B A B

  3. Testing Circuit Equivalence C C’ nand D E A B A B

  4. Symbolic Model Checking • Any finite state machine is characterized by a transition function • CPU • Networking protocol • Wish to prove some invariant holds for any possible inputs • Bounded model checking: formula is sat iff invariant fails k steps in the future

  5. The SAT Competition strikes back… In Italia What is a good SAT solver ? One that participates !

  6. The hidden faceof the Italian coast! • Thanks to • LRI (Orsay, France) • DIST (Genoa, Italia) • 522 cpu days (2 clusters, 2 phases) • 34 solvers (4 incomplete), 993 benchmarks, • 15 Athlon 1800+ and 8 P4 2.4 Ghz 1Gb RAM

  7. The competition: why? ? • Provide a (regular) picture of current state-of-the-art SAT solvers • “Measure” the progress each year • Motivate (again and again) the field! • Visibility • One (important) question last year : • Would submitters be able to made substantial progress in only one year?

  8. The Benchmarks (industrial) 323 benchmarks, 45 series • Hard_eq_check (E. Goldberg) [16,1] • Addm (J. Kukula) [6, 1] Equivalence check of two randomly structured adders with multiple addends • Li-exam, test (R. Li) [12, 2] : formulated from unit covering problem of logic minimization of logic ircuit benchmark test4 • Ferry, gripper, hanoi [24,3] : based on TSP (tunable satplan). A DIMACS generator for planing problems in PDDL format • 'l2s‘ [11,1]: (V. Schuppan) Bounded model checking of Bwolen Yangs collection of benchmarks for SMV in conjunction with a method to convert liveness to safety.  And a lot of E. Zarpas BMC formulae…

  9. Complete Industrial Industrial,Sat + Unsat

  10. Complete handmade HandMade,Sat + Unsat

  11. Incomplete Random Random,Sat

  12. The solvers (5/8) • saturn (S. Prestwich) [IR]: Saturn performs local search in a space of partial truth assignments that are consistent under unit propagation. It is a DPLL procedure with depth-first search replaced by an incomplete form of backtracking (Incomplete Dynamic Backtracking). The difference between version 2 and version 1 is a form of conflict diagnosis: variables are selected for unassignment by analysing the causes of dead-ends during search. • satzilla (K. Leyton-Brown, E. Nudelman, G. Andrew, C. Gomes, J. McFadden, B. Selman, Y. Shoham) [CD, CD-HC] : Portfollio of algorithms: 2clseq, Limmat, JeruSat, OKsolver, Relsat, Sato, Satzrand, and Zchaff. Satzilla2 also contains eqsatz and Heerhugo. 

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