Document Type

Article

Date

9-10-2003

Language

English

Disciplines

Physics

Description/Abstract

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.

Additional Information

4 pages, 4 figs More information at http://arxiv.org/abs/cond-mat/0309240

Source

Harvested from Arxiv.org

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This work is licensed under a Creative Commons Attribution 3.0 License.

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