Percolation of satisfiability in finite dimensions

Details Percolation of satisfiability in finite dimensions Percolation of satisfiability in finite dimensions

2003-09-10

arxiv.org/abs/cond-mat/0309240v1

Physical Review E 70, 035103 (R) (2004) [4 pages]

Physics

Condensed Matter

4 pages, 4 figs

Scientific paper

10.1103/PhysRevE.70.035103

The satisfiability and optimization of finite-dimensional Boolean formulas are studied using percolation theory, rare region arguments, and boundary effects. In contrast with mean-field results, there is no satisfiability transition, though there is a logical connectivity transition. In part of the disconnected phase, rare regions lead to a divergent running time for optimization algorithms. The thermodynamic ground state for the NP-hard two-dimensional maximum-satisfiability problem is typically unique. These results have implications for the computational study of disordered materials.

Affiliated with

Also associated with

No associations

Rating

Percolation of satisfiability in finite dimensions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Percolation of satisfiability in finite dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Percolation of satisfiability in finite dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-348639