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Theory and Applications of Models of Computation (TAMC 2012), Beijing : Chine (2012)
Computing in the fractal cloud: modular generic solvers for SAT and Q-SAT variants.
Denys Duchier 1, Jérôme Durand-Lose 1, Maxime Senot 1
(2012-05-21)

Abstract geometrical computation can solve hard combinatorial problems efficiently: we showed previously how Q-SAT (the satisfiability problem of quantified boolean formulae) can be solved in bounded space and time using instance-specific signal machines and fractal parallelization. In this article, we propose an approach for constructing a particular generic machine for the same task. This machine deploies the Map/Reduce paradigm over a discrete fractal structure. Moreover our approach is modular: the machine is constructed by combining modules. In this manner, we can easily create generic machines for solving satisfiability variants, such as SAT, #SAT, MAX-SAT.
1:  Laboratoire d'Informatique Fondamentale d'Orléans (LIFO)
Université d'Orléans : EA4022 – Ecole Nationale Supérieure d'Ingénieurs de Bourges
CA
GAMoC
Computer Science/Logic in Computer Science

Computer Science/Computational Complexity
Abstract geometrical computation – Signal machine – Fractal – Satisfiability problems – Massive parallelism – Model of computation.
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