Abstract. Recently Schuler [17] presented a randomized algorithm that solves SAT in expected time at most 2n(1−1/ log2(2m)) up to a polynomial factor, where n and m are, respecti...
: k-SAT is one of the best known among a wide class of random constraint satisfaction problems believed to exhibit a threshold phenomenon where the control parameter is the ratio, ...
: A local search algorithm operating on an instance of a Boolean constraint satisfaction problem (in particular, k-SAT) can be viewed as a stochastic process traversing successive ...
Quantum k-SAT is the problem of deciding whether there is a n-qubit state which is perpendicular to a set of vectors, each of which lies in the Hilbert space of k qubits. Equivale...
Sergey Bravyi, Cristopher Moore, Alexander Russell
We show that for k ≥ 3 even the Ω(n) level of the Lasserre hierarchy cannot disprove a random k-CSP instance over any predicate type implied by k-XOR constraints, for example ...