k-SAT (for k ≥ 3, optimization version)

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf theoretical computer science
mathematical optimization
gptkbp:approximation has known approximation algorithms
gptkbp:complexity APX-complete (for k ≥ 3)
gptkbp:distinctFrom decision version of k-SAT
gptkbp:goal maximize the number of satisfied clauses
gptkbp:hasSpecialCase gptkb:MAX-SAT
https://www.w3.org/2000/01/rdf-schema#label k-SAT (for k ≥ 3, optimization version)
gptkbp:input Boolean formula in conjunctive normal form with k literals per clause
gptkbp:notableFor greedy algorithms
randomized approximation algorithms
gptkbp:NP-hardness gptkb:NP-hard
gptkbp:output assignment of variables maximizing satisfied clauses
gptkbp:relatedTo gptkb:k-SAT
gptkb:MAX-3SAT
Boolean satisfiability problem
MAX-2SAT
gptkbp:studiedBy 1970s
gptkbp:usedIn gptkb:complexity_theory
theoretical computer science
algorithm design
gptkbp:bfsParent gptkb:NP-hard_problems
gptkbp:bfsLayer 7