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- Satisfiability abstract "In mathematical logic, satisfiability and validity are elementary concepts of semantics. A formula is satisfiable if it is possible to find an interpretation (model) that makes the formula true. A formula is valid if all interpretations make the formula true. The opposites of these concepts are unsatisfiability and invalidity, that is, a formula is unsatisfiable if none of the interpretations make the formula true, and invalid if some such interpretation makes the formula false. These four concepts are related to each other in a manner exactly analogous to Aristotle's square of opposition.The four concepts can be raised to apply to whole theories: a theory is satisfiable (valid) if one (all) of the interpretations make(s) each of the axioms of the theory true, and a theory is unsatisfiable (invalid) if all (one) of the interpretations make(s) each of the axioms of the theory false.It is also possible to consider only interpretations that make all of the axioms of a second theory true. This generalization is commonly called satisfiability modulo theories.The question whether a sentence in propositional logic is satisfiable is a decidable problem. In general, the question whether sentences in first-order logic are satisfiable is not decidable. In universal algebra and equational theory, the methods of term rewriting, congruence closure and unification are used to attempt to decide satisfiability. Whether a particular theory is decidable or not depends whether the theory is variable-free or on other conditions.".
- Satisfiability wikiPageID "23401166".
- Satisfiability wikiPageLength "9567".
- Satisfiability wikiPageOutDegree "64".
- Satisfiability wikiPageRevisionID "664143695".
- Satisfiability wikiPageWikiLink 2-satisfiability.
- Satisfiability wikiPageWikiLink Aristotle.
- Satisfiability wikiPageWikiLink Atomic_formula.
- Satisfiability wikiPageWikiLink Atomic_sentence.
- Satisfiability wikiPageWikiLink Axiom.
- Satisfiability wikiPageWikiLink Boolean_satisfiability_problem.
- Satisfiability wikiPageWikiLink Category:Concepts_in_logic.
- Satisfiability wikiPageWikiLink Category:Logical_truth.
- Satisfiability wikiPageWikiLink Category:Model_theory.
- Satisfiability wikiPageWikiLink Category:Philosophy_of_logic.
- Satisfiability wikiPageWikiLink Circuit_satisfiability.
- Satisfiability wikiPageWikiLink Circuit_satisfiability_problem.
- Satisfiability wikiPageWikiLink Classical_logic.
- Satisfiability wikiPageWikiLink Classical_propositional_logic.
- Satisfiability wikiPageWikiLink Closure_(mathematics).
- Satisfiability wikiPageWikiLink Co-NP-complete.
- Satisfiability wikiPageWikiLink Computational_complexity_theory.
- Satisfiability wikiPageWikiLink Congruence_closure.
- Satisfiability wikiPageWikiLink Constraint_satisfaction.
- Satisfiability wikiPageWikiLink Decidability_(logic).
- Satisfiability wikiPageWikiLink Decidable_problem.
- Satisfiability wikiPageWikiLink Decision_problem.
- Satisfiability wikiPageWikiLink Entscheidungsproblem.
- Satisfiability wikiPageWikiLink Equational_theory.
- Satisfiability wikiPageWikiLink Finite_model_property.
- Satisfiability wikiPageWikiLink Finite_model_theory.
- Satisfiability wikiPageWikiLink First-order_logic.
- Satisfiability wikiPageWikiLink Formula_(mathematical_logic).
- Satisfiability wikiPageWikiLink Ground_expression.
- Satisfiability wikiPageWikiLink Hilberts_tenth_problem.
- Satisfiability wikiPageWikiLink Integer_programming.
- Satisfiability wikiPageWikiLink Interpretation_(logic).
- Satisfiability wikiPageWikiLink Karps_21_NP-complete_problems.
- Satisfiability wikiPageWikiLink Linear_inequality.
- Satisfiability wikiPageWikiLink Linear_programming.
- Satisfiability wikiPageWikiLink List_of_logic_systems.
- Satisfiability wikiPageWikiLink Logical_conjunction.
- Satisfiability wikiPageWikiLink Logical_constant.
- Satisfiability wikiPageWikiLink Mathematical_logic.
- Satisfiability wikiPageWikiLink Mathematical_optimization.
- Satisfiability wikiPageWikiLink Model_theory.
- Satisfiability wikiPageWikiLink NP-complete.
- Satisfiability wikiPageWikiLink NP-completeness.
- Satisfiability wikiPageWikiLink PTIME.
- Satisfiability wikiPageWikiLink P_(complexity).
- Satisfiability wikiPageWikiLink Propositional_calculus.
- Satisfiability wikiPageWikiLink Propositional_logic.
- Satisfiability wikiPageWikiLink Rewriting.
- Satisfiability wikiPageWikiLink Satisfiability_modulo_theories.
- Satisfiability wikiPageWikiLink Satisficing.
- Satisfiability wikiPageWikiLink Semantics.
- Satisfiability wikiPageWikiLink Square_of_opposition.
- Satisfiability wikiPageWikiLink Structure_(logic).
- Satisfiability wikiPageWikiLink Structure_(mathematical_logic).
- Satisfiability wikiPageWikiLink System_of_linear_equations.
- Satisfiability wikiPageWikiLink Term_rewriting.
- Satisfiability wikiPageWikiLink Theory_(logic).
- Satisfiability wikiPageWikiLink Theory_(mathematical_logic).
- Satisfiability wikiPageWikiLink Undecidable_problem.
- Satisfiability wikiPageWikiLink Unification_(computer_science).
- Satisfiability wikiPageWikiLink Universal_algebra.
- Satisfiability wikiPageWikiLink Validity.
- Satisfiability wikiPageWikiLink Variable-free.
- Satisfiability wikiPageWikiLink Well-formed_formula.
- Satisfiability wikiPageWikiLinkText "Satisfiability".
- Satisfiability wikiPageWikiLinkText "Satisfiability#Finite_satisfiability".
- Satisfiability wikiPageWikiLinkText "has a solution".
- Satisfiability wikiPageWikiLinkText "satisfaction".
- Satisfiability wikiPageWikiLinkText "satisfiability".
- Satisfiability wikiPageWikiLinkText "satisfiable".
- Satisfiability wikiPageWikiLinkText "satisfied".
- Satisfiability wikiPageWikiLinkText "satisfies".
- Satisfiability wikiPageWikiLinkText "satisfy".
- Satisfiability wikiPageWikiLinkText "unsatisfiable".
- Satisfiability hasPhotoCollection Satisfiability.
- Satisfiability wikiPageUsesTemplate Template:Cite_book.
- Satisfiability wikiPageUsesTemplate Template:Further.
- Satisfiability wikiPageUsesTemplate Template:Main.
- Satisfiability wikiPageUsesTemplate Template:Metalogic.
- Satisfiability wikiPageUsesTemplate Template:Rp.
- Satisfiability subject Category:Concepts_in_logic.
- Satisfiability subject Category:Logical_truth.
- Satisfiability subject Category:Model_theory.
- Satisfiability subject Category:Philosophy_of_logic.
- Satisfiability hypernym Concepts.
- Satisfiability type Automobile.
- Satisfiability type Concept.
- Satisfiability comment "In mathematical logic, satisfiability and validity are elementary concepts of semantics. A formula is satisfiable if it is possible to find an interpretation (model) that makes the formula true. A formula is valid if all interpretations make the formula true. The opposites of these concepts are unsatisfiability and invalidity, that is, a formula is unsatisfiable if none of the interpretations make the formula true, and invalid if some such interpretation makes the formula false.".
- Satisfiability label "Satisfiability".
- Satisfiability sameAs قابلية_الإرضاء.
- Satisfiability sameAs Splnitelnost.
- Satisfiability sameAs Erfüllbarkeit.
- Satisfiability sameAs Toteutuvuus.
- Satisfiability sameAs Satisfaisabilité.
- Satisfiability sameAs Vervulbaarheid.