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• Boolean_satisfiability_problem abstract "In computer science, Boolean, or propositional, satisfiability (often written SATISFIABILITY or abbreviated SAT) is the problem of determining if there exists an interpretation that satisfies a given Boolean formula. In other words, it establishes if the variables of a given Boolean formula can be assigned in such a way as to make the formula evaluate to TRUE. If no such assignments exist, the function expressed by the formula is identically FALSE for all possible variable assignments. In this latter case, it is called unsatisfiable, otherwise satisfiable. For example, the formula "a AND NOT b" is satisfiable because one can find the values a = TRUE and b = FALSE, which make (a AND NOT b) = TRUE. In contrast, "a AND NOT a" is unsatisfiable.SAT was the first known example of an NP-complete problem. That briefly means that there is no known algorithm that efficiently solves all instances of SAT, and it is generally believed (but not proven, see P versus NP problem) that no such algorithm can exist. Further, a wide range of other naturally occurring decision and optimization problems can be transformed into instances of SAT. A class of algorithms called SAT solvers can efficiently solve a large enough subset of SAT instances to be useful in various practical areas such as circuit design and automatic theorem proving, by solving SAT instances made by transforming problems that arise in those areas. Extending the capabilities of SAT solving algorithms is an ongoing area of research. However, no current such methods can efficiently solve all SAT instances.".
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• Boolean_satisfiability_problem wikiPageID "4715".
• Boolean_satisfiability_problem wikiPageRevisionID "606502483".
• Boolean_satisfiability_problem date "September 2013".
• Boolean_satisfiability_problem hasPhotoCollection Boolean_satisfiability_problem.
• Boolean_satisfiability_problem reason "3".
• Boolean_satisfiability_problem subject Category:Boolean_algebra.
• Boolean_satisfiability_problem subject Category:Electronic_design_automation.
• Boolean_satisfiability_problem subject Category:Formal_methods.
• Boolean_satisfiability_problem subject Category:Logic_in_computer_science.
• Boolean_satisfiability_problem subject Category:NP-complete_problems.
• Boolean_satisfiability_problem subject Category:Satisfiability_problems.
• Boolean_satisfiability_problem type Ability105616246.
• Boolean_satisfiability_problem type Abstraction100002137.
• Boolean_satisfiability_problem type Attribute100024264.
• Boolean_satisfiability_problem type Cognition100023271.
• Boolean_satisfiability_problem type Condition113920835.
• Boolean_satisfiability_problem type Difficulty114408086.
• Boolean_satisfiability_problem type FormalMethods.
• Boolean_satisfiability_problem type Know-how105616786.
• Boolean_satisfiability_problem type Method105660268.
• Boolean_satisfiability_problem type NP-completeProblems.
• Boolean_satisfiability_problem type Problem114410605.
• Boolean_satisfiability_problem type PsychologicalFeature100023100.
• Boolean_satisfiability_problem type SatisfiabilityProblems.
• Boolean_satisfiability_problem type State100024720.
• Boolean_satisfiability_problem comment "In computer science, Boolean, or propositional, satisfiability (often written SATISFIABILITY or abbreviated SAT) is the problem of determining if there exists an interpretation that satisfies a given Boolean formula. In other words, it establishes if the variables of a given Boolean formula can be assigned in such a way as to make the formula evaluate to TRUE. If no such assignments exist, the function expressed by the formula is identically FALSE for all possible variable assignments.".
• Boolean_satisfiability_problem label "Boolean satisfiability problem".
• Boolean_satisfiability_problem label "Erfüllbarkeitsproblem der Aussagenlogik".
• Boolean_satisfiability_problem label "Problem spełnialności".
• Boolean_satisfiability_problem label "Problema de satisfacibilidad booleana".
• Boolean_satisfiability_problem label "Problema de satisfatibilidade booliana".
• Boolean_satisfiability_problem label "Problème SAT".
• Boolean_satisfiability_problem label "Soddisfacibilità booleana".
• Boolean_satisfiability_problem label "Vervulbaarheidsprobleem".
• Boolean_satisfiability_problem label "Задача выполнимости булевых формул".
• Boolean_satisfiability_problem label "قابلية الإرضاء".
• Boolean_satisfiability_problem label "充足可能性問題".
• Boolean_satisfiability_problem label "布尔可满足性问题".
• Boolean_satisfiability_problem sameAs Erfüllbarkeitsproblem_der_Aussagenlogik.
• Boolean_satisfiability_problem sameAs Problema_de_satisfacibilidad_booleana.
• Boolean_satisfiability_problem sameAs Problème_SAT.
• Boolean_satisfiability_problem sameAs Soddisfacibilità_booleana.
• Boolean_satisfiability_problem sameAs 充足可能性問題.
• Boolean_satisfiability_problem sameAs 충족_가능성_문제.
• Boolean_satisfiability_problem sameAs Vervulbaarheidsprobleem.
• Boolean_satisfiability_problem sameAs Problem_spełnialności.
• Boolean_satisfiability_problem sameAs Problema_de_satisfatibilidade_booliana.
• Boolean_satisfiability_problem sameAs m.01hmj.
• Boolean_satisfiability_problem sameAs Q875276.

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