4SAT (Boolean Satisfiability)

From Algorithm Wiki
Revision as of 07:53, 10 April 2023 by Admin (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search

Description

4SAT restricts the boolean formula to CNF with (at most) 4 literals per clause

Related Problems

Generalizations: k-SAT

Related: SAT, Conjunctive Normal Form SAT, Disjunctive Normal Form SAT, 1-in-3SAT, 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, 3SAT-5, 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 $O({1.46899}^n)$ $O(kn)$ Exact Randomized Time