# A variational description of the ground state structure in random satisfiability problems

@article{Biroli1999AVD, title={A variational description of the ground state structure in random satisfiability problems}, author={Giulio Biroli and R{\'e}mi Monasson and Martin Weigt}, journal={CoRR}, year={1999}, volume={cond-mat/9907343} }

- Published 1999 in ArXiv
DOI:10.1007/s100510051065

A variational approach to finite connectivity spin-glass-like models is developed and applied to describe the structure of optimal solutions in random satisfiability problems. Our variational scheme accurately reproduces the known replica symmetric results and also allows for the inclusion of replica symmetry breaking effects. For the 3-SAT problem, we find two transitions as the ratio α of logical clauses per Boolean variables increases. At the first one αs ' 3.96, a non-trivial organization… CONTINUE READING

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