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Computing in the fractal cloud: modular generic solvers for SAT and Q-SAT variants

Research paper by Denys Duchier, Jérôme Durand-Lose, Maxime Senot

Indexed on: 17 May '11Published on: 17 May '11Published in: Computer Science - Computational Complexity



Abstract

Abstract geometrical computation can solve hard combinatorial problems efficiently: we showed previously how Q-SAT 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 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 satifiability variants, such as SAT, #SAT, MAX-SAT.