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- Ones_classification_theorems abstract "In computational complexity theory, a branch of computer science, the Max/min CSP/Ones classification theorems state necessary and sufficient conditions that determine the complexity classes of problems about satisfying a subset S of boolean relations. They are similar to Schaefer's dichotomy theorem, which classifies the complexity of satisfying finite sets of relations; however, the Max/min CSP/Ones classification theorems give information about the complexity of approximating an optimal solution to a problem defined by S.Given a set S of clauses, the Max constraint satisfaction problem (CSP) is to find the maximum number of satisfiable (possibly weighted) clauses in S. Similarly, the Min CSP problem is to minimize this number of clauses. The Max Ones problem is to maximize the number of boolean variables in S that are set to 1 when all clauses are satisfied, and the Min Ones problem is to minimize this number.When using the classifications below, the problem's complexity class is determined by the topmost classification that it satisfies.".
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- Ones_classification_theorems wikiPageRevisionID "637407000".
- Ones_classification_theorems wikiPageWikiLink 2-satisfiability.
- Ones_classification_theorems wikiPageWikiLink APX.
- Ones_classification_theorems wikiPageWikiLink Approximation_algorithm.
- Ones_classification_theorems wikiPageWikiLink Boolean_satisfiability_problem.
- Ones_classification_theorems wikiPageWikiLink Category:Approximation_algorithms.
- Ones_classification_theorems wikiPageWikiLink Category:Constraint_programming.
- Ones_classification_theorems wikiPageWikiLink Category:Theorems_in_computational_complexity_theory.
- Ones_classification_theorems wikiPageWikiLink Computational_complexity_theory.
- Ones_classification_theorems wikiPageWikiLink Computer_science.
- Ones_classification_theorems wikiPageWikiLink Conjunctive_normal_form.
- Ones_classification_theorems wikiPageWikiLink Disjunctive_normal_form.
- Ones_classification_theorems wikiPageWikiLink Horn_clause.
- Ones_classification_theorems wikiPageWikiLink NP-hardness.
- Ones_classification_theorems wikiPageWikiLink Schaefers_dichotomy_theorem.
- Ones_classification_theorems wikiPageWikiLink Time_complexity.
- Ones_classification_theorems wikiPageWikiLinkText "Max/min CSP/Ones classification theorems".
- Ones_classification_theorems wikiPageUsesTemplate Template:Reflist.
- Ones_classification_theorems subject Category:Approximation_algorithms.
- Ones_classification_theorems subject Category:Constraint_programming.
- Ones_classification_theorems subject Category:Theorems_in_computational_complexity_theory.
- Ones_classification_theorems comment "In computational complexity theory, a branch of computer science, the Max/min CSP/Ones classification theorems state necessary and sufficient conditions that determine the complexity classes of problems about satisfying a subset S of boolean relations.".
- Ones_classification_theorems label "Max/min CSP/Ones classification theorems".
- Ones_classification_theorems sameAs m.012dvc_q.
- Ones_classification_theorems wasDerivedFrom Ones_classification_theorems?oldid=637407000.
- Ones_classification_theorems isPrimaryTopicOf Ones_classification_theorems.