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In computer science, 2-satisfiability, 2-SAT or just 2SAT is a computational problem of assigning values to variables, each of which has two possible values, in order to satisfy a system of constraints on pairs of variables. It is a special case of the general Boolean satisfiability problem, which can involve constraints on more than two variables, and of constraint satisfaction problems, which can allow more than two choices for the value of each variable. But in contrast to those more general problems, which are NP-complete, 2-satisfiability can be solved in polynomial time.

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  • قابلية الإرضاء الثنائية (ar)
  • 2-satisfiability (en)
  • 2-satisfiability (it)
  • Problème 2-SAT (fr)
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  • En informatique théorique, le problème 2-SAT est un problème de décision. C'est une restriction du problème SAT qui peut être résolu en temps polynomial, alors que le problème général est NP complet. Le problème 2-SAT consiste à décider si une formule booléenne en forme normale conjonctive, dont toutes les clauses sont de taille 2, est satisfaisable. De telles formules sont appelées 2-CNF ou formules de Krom. (fr)
  • تعرّف قابلية الإرضاء الثنائية، 2-إس إيه تي، في علوم الحاسوب، بأنها مسألة حاسوبية لتعيين قيم لمتغيرات، لكل منها قيمتان محتملتان، لإرضاء نظام القيود على أزواج المتغيرات. وتعد حالة خاصة من مسألة قابلية الإرضاء المنطقية العامة، التي يمكن أن تتضمن قيودًا على أكثر من متغيرين، ومن مسألة إرضاء القيد، التي يمكن أن تسمح بأكثر من خيارين لقيمة كل متغير. ولكن على عكس هذه المسائل الأكثر عمومية، التي تعد مسائل كثيرة حدود غير قطعية كاملة، يمكن حل قابلية الإرضاء الثنائية في زمن متعدد الحدود. (ar)
  • In computer science, 2-satisfiability, 2-SAT or just 2SAT is a computational problem of assigning values to variables, each of which has two possible values, in order to satisfy a system of constraints on pairs of variables. It is a special case of the general Boolean satisfiability problem, which can involve constraints on more than two variables, and of constraint satisfaction problems, which can allow more than two choices for the value of each variable. But in contrast to those more general problems, which are NP-complete, 2-satisfiability can be solved in polynomial time. (en)
  • In informatica, 2-satisfiability, 2-SAT o semplicemente 2SAT è un problema di soddisfacibilità booleana con clausole composte da coppie di letterali. È un caso particolare (il più semplice) del problema n-SAT, ed è l'unico di cui è stata dimostrata la risolubilità in tempo polinomiale e spazio logaritmico. Più precisamente, si tratta di un problema . Al contrario, i problemi di soddisfacibilità con sono tutti NP-completi, essendo tali sia il generico SAT (per il teorema di Cook) che 3-SAT (poiché ogni problema n-SAT è riducibile a 3-SAT in tempo polinomiale). (it)
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