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- Schaefer's_dichotomy_theorem abstract "In computational complexity theory, a branch of computer science, Schaefer's dichotomy theorem states necessary and sufficient conditions under which a finite set S of relations over the Boolean domain yields polynomial-time or NP-complete problems when the relations of S are used to constrain some of the propositional variables.It is called a dichotomy theorem because the complexity of the problem defined by S is either in P or NP-complete as opposed to one of the classes of intermediate complexity that is known to exist (assuming P ≠ NP) by Ladner's theorem.Special cases of Schaefer's dichotomy theorem include the NP-completeness of SAT (the Boolean satisfiability problem) and its two popular variants 1-in-3 SAT and Not-All-Equal 3SAT (often denoted by NAE-3SAT). In fact, for these two variants of SAT, Schaefer's dichotomy theorem shows that their monotone versions (where negations of variables are not allowed) are also NP-complete.".
- Schaefer's_dichotomy_theorem wikiPageID "4638322".
- Schaefer's_dichotomy_theorem wikiPageRevisionID "595754943".
- Schaefer's_dichotomy_theorem hasPhotoCollection Schaefer's_dichotomy_theorem.
- Schaefer's_dichotomy_theorem subject Category:Constraint_programming.
- Schaefer's_dichotomy_theorem subject Category:Theorems_in_computational_complexity_theory.
- Schaefer's_dichotomy_theorem type Abstraction100002137.
- Schaefer's_dichotomy_theorem type Communication100033020.
- Schaefer's_dichotomy_theorem type Message106598915.
- Schaefer's_dichotomy_theorem type Proposition106750804.
- Schaefer's_dichotomy_theorem type Statement106722453.
- Schaefer's_dichotomy_theorem type Theorem106752293.
- Schaefer's_dichotomy_theorem type TheoremsInDiscreteMathematics.
- Schaefer's_dichotomy_theorem comment "In computational complexity theory, a branch of computer science, Schaefer's dichotomy theorem states necessary and sufficient conditions under which a finite set S of relations over the Boolean domain yields polynomial-time or NP-complete problems when the relations of S are used to constrain some of the propositional variables.It is called a dichotomy theorem because the complexity of the problem defined by S is either in P or NP-complete as opposed to one of the classes of intermediate complexity that is known to exist (assuming P ≠ NP) by Ladner's theorem.Special cases of Schaefer's dichotomy theorem include the NP-completeness of SAT (the Boolean satisfiability problem) and its two popular variants 1-in-3 SAT and Not-All-Equal 3SAT (often denoted by NAE-3SAT). ".
- Schaefer's_dichotomy_theorem label "Schaefer's dichotomy theorem".
- Schaefer's_dichotomy_theorem sameAs m.0cdxv1.
- Schaefer's_dichotomy_theorem sameAs Q7430892.
- Schaefer's_dichotomy_theorem sameAs Q7430892.
- Schaefer's_dichotomy_theorem sameAs Schaefer's_dichotomy_theorem.
- Schaefer's_dichotomy_theorem wasDerivedFrom Schaefer's_dichotomy_theorem?oldid=595754943.
- Schaefer's_dichotomy_theorem isPrimaryTopicOf Schaefer's_dichotomy_theorem.