… We show that the threshold for random quantum 3-SAT is at most 3.594. For comparison, …
classical 3-SAT threshold is αc ≈ 4.267. For larger k, we show that the quantum threshold is a …

… = 0 (in which case the system is satisfiable) or < 0 (in which … quantity for k-SAT, k-NAE-SAT,
and k-BALANCED-SAT. Very … a random graph, for both k-SAT and k-NAE-SAT [6] insofar as …

… to obtain detailed predictions for the satisfiability threshold suggesting that rk = 2 k ln 2− O(1).
(… random k-SAT threshold satisfies rk ∼ 2 k ln2. In particular, we proved that random k-SAT …

… the threshold for regular random k-SAT for any k ≥ 3 and show that for large k the threshold
… We also derive upper bounds on the threshold for Not-All-Equal (NAE) satisfiability for k ≥ 3 …

… the random K-SAT studied earlier [14], but also for two variants of the random K-SAT, which
we solve on a d-ary rooted tree. We find in all cases that, for K = 2, the threshold obtained via …

… As we shall see, there exist two other thresholds of the bond density at which more … An
important difference of the SAT/ UNSAT transition in hSAT compared to K-SAT 25 is the …

… whether or not there is a poly-time algorithm for SAT. I am in a tiny minority in being … SAT.
But I find the heuristic arguments against the existence of a very inefficient algorithm for SAT …

… One of the most intriguing aspects of random k-CNF formulas is the Satisfiability Threshold
… that a random k-CNF formula with n variables and m ¼ An clauses is whp satisfiable if Doak …

… N) and in the large-N limit—indeed the case of interest also in the fields of computer
science and artificial intelligence 15,17—the K-SAT problem exhibits a striking threshold …

… in the study of thresholds and sharp thresholds in random … recent proof of the satisfiability
conjecture for large k by Ding, Sly, … the random k-SAT model, the satisfiability conjecture, and …