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• W2049204972 abstract "In this paper we analyze the structure of the UNSAT-phase of the overconstrained 3-SAT model by studying the low temperature phase of the associated disordered spin model. We derive the $infty$ Replica Symmetry Broken equations for a general class of disordered spin models which includes the Sherrington - Kirkpatrick model, the Ising $p$-spin model as well as the overconstrained 3-SAT model as particular cases. We have numerically solved the $infty$ Replica Symmetry Broken equations using a pseudo-spectral code down to and including zero temperature. We find that the UNSAT-phase of the overconstrained 3-SAT model is of the $infty$-RSB kind: in order to get a stable solution the replica symmetry has to be broken in a continuous way, similarly to the SK model in external magnetic field." @default.
• W2049204972 created "2016-06-24" @default.
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• W2049204972 date "2002-01-14" @default.
• W2049204972 modified "2023-10-14" @default.
• W2049204972 title "The 3-SAT problem with large number of clauses in the ∞-replica symmetry breaking scheme" @default.
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• W2049204972 doi "https://doi.org/10.1088/0305-4470/35/3/303" @default.
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