3SAT (Boolean Satisfiability)
Jump to navigation
Jump to search
Description
3SAT restricts the boolean formula to CNF with (at most) 3 literals per clause
Related Problems
Generalizations: k-SAT
Subproblem: 1-in-3SAT, Not-All-Equal 3-SAT (NAE 3SAT), 3SAT-5, Monotone 3SAT
Related: SAT, Conjunctive Normal Form SAT, Disjunctive Normal Form SAT, Monotone 1-in-3SAT, Monotone Not-Exactly-1-in-3SAT, All-Equal-SAT, Not-All-Equal 3-SAT (NAE 3SAT), Monotone Not-All-Equal 3-SAT (Monotone NAE 3SAT), 2SAT, 3SAT-5, 4SAT, Monotone 3SAT, XOR-SAT, Horn SAT, Dual-Horn SAT, Renamable Horn, MaxSAT
Parameters
$n$: number of variables
Table of Algorithms
| Name | Year | Time | Space | Approximation Factor | Model | Reference |
|---|---|---|---|---|---|---|
| Hertli (Modified PPSZ) | 2014 | $O({1.30704}^n)$ | $O(kn)$ | Exact | Randomized | Time |
| Shi | 2009 | $O({12}m*t_extract + {2}m*t_discard + {2}n*t_append + (n+{2}m)$*t_merge + (n-{1})*t_amplify) | $O(n)$ tubes or $O({2}^n)$ library strands | Exact | Deterministic | Time & Space |