English

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

Computational Complexity 2015-03-19 v1

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.

Keywords

Cite

@article{arxiv.1105.3454,
  title  = {Computing in the fractal cloud: modular generic solvers for SAT and Q-SAT variants},
  author = {Denys Duchier and Jérôme Durand-Lose and Maxime Senot},
  journal= {arXiv preprint arXiv:1105.3454},
  year   = {2015}
}
R2 v1 2026-06-21T18:08:42.939Z