-

 

 

 




Optimization Online





 

Maxwell-Boltzmann and Bose-Einstein Distributions for the SAT Problem

Claudio Angione(claudio.angione***at***cl.cam.ac.uk)
Annalisa Occhipinti(annalisa.occhipinti***at***studium.unict.it)
Giuseppe Nicosia(nicosia***at***dmi.unict.it)

Abstract: Recent studies in theoretical computer science have exploited new algorithms and methodologies based on statistical physics for investigating the structure and the properties of the Satisfiability problem. We propose a characterization of the SAT problem as a physical system, using both quantum and classical statistical-physical models. We associate a graph to a SAT instance and we prove that a Bose-Einstein condensation occurs in the instance with higher probability if the quantum distribution is adopted in the generation of the graph. Our method allows a comprehensive analysis of the SAT problem based on a new definition of entropy of an instance, without requiring the computation of its truth assignments. Finally, we develop four new SAT solvers based on quantum and classical statistical distributions, and we test them on both random and real life SAT instances. As a result, our method can be readily used to develop fast and efficient solvers of large-scale computational problems, namely AI planning, model checking, and hardware and software verification.

Keywords: Satisfiability, SAT Solvers, Physics-inspired Computing, Condensation Phase Transitions

Category 1: Combinatorial Optimization (Other )

Category 2: Applications -- Science and Engineering (Other )

Citation: University of Cambridge, University of Catania, March 2013

Download: [PDF]

Entry Submitted: 04/03/2013
Entry Accepted: 04/04/2013
Entry Last Modified: 04/03/2013

Modify/Update this entry


  Visitors Authors More about us Links
  Subscribe, Unsubscribe
Digest Archive
Search, Browse the Repository

 

Submit
Update
Policies
Coordinator's Board
Classification Scheme
Credits
Give us feedback
Optimization Journals, Sites, Societies
Mathematical Optimization Society