4SAT (Boolean Satisfiability)

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Revision as of 11:27, 15 February 2023 by Admin (talk | contribs) (Created page with "{{DISPLAYTITLE:4SAT (Boolean Satisfiability)}} == 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]...")
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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