: The distribution of overlaps of solutions of a random constraint satisfaction problem (CSP) is an indicator of the overall geometry of its solution space. For random k-SAT, nonri...
We present a simple probabilistic algorithm for solving kSAT, and more generally, for solving constraint satisfaction problems (CSP). The algorithm follows a simple localsearch pa...
Abstract. This paper discusses an NP-complete constraint satisfaction problem which appears to share many of the threshold characteristics of SAT but is similar to XOR-SAT and so i...
We study the approximability of two natural Boolean constraint satisfaction problems: Horn satisfiability and exact hitting set. Under the Unique Games conjecture, we prove the fo...
We prove a parameterized analog of Schaefer’s Dichotomy Theorem: we show that for every finite boolean constraint family F, deciding whether a formula containing constraints fr...