Targeting Clause Type Distributions: a Picklock for Random Satisfiability Problems
Optimization problems such as the NP-complete 3-SAT provide an important benchmark for the difficult task of finding ground-states in strongly correlated many-body systems with rugged energy landscapes. The study of random 3-SAT problems as Ising spin Hamiltonians in statistical physics has yielded major insights including the existence of a satisfiability phase transition, and the prediction of a critical parameter line of particularly hard instances. Yet, progress on solving those instances has been scarce for several decades. Here, introducing the Target-SAT (TSAT) algorithm, we roughly triple the tractable problem sizes in the hardest regime, with an even greater improvement in a vast...
| Authors | J. Schwardt, J. C. Budich |
|---|---|
| Primary category | cond-mat.stat-mech |
| Published | 19 May 2026 |
| Last updated at source | 19 May 2026 |
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