Better algorithms for satisfiability problems for formulas of bounded rank-width
| Authors | |
|---|---|
| Year of publication | 2013 |
| Type | Article in Periodical |
| Magazine / Source | Fundamenta Informaticae |
| MU Faculty or unit | |
| Citation | |
| Doi | http://dx.doi.org/10.3233/FI-2013-800 |
| Field | Informatics |
| Keywords | propositional model counting; satisfiability; rank-width; clique-width; parameterized complexity |
| Description | We provide a parameterized polynomial algorithm for the propositional model counting problem #SAT, the runtime of which is single-exponential in the rank-width of a formula. Previously, analogous algorithms have been known -- e.g.~[Fischer, Makowsky, and Ravve] -- with a single-exponential dependency on the clique-width of a formula. Our algorithm thus presents an exponential runtime improvement (since clique-width reaches up to exponentially higher values than rank-width), and can be of practical interest for small values of rank-width. We also provide an algorithm for the MAX-SAT problem along the same lines. |
| Related projects: |