satisfiability
Noun
Meaning
satisfiability (countable and uncountable, plural satisfiabilities)
(mathematics, of a proposition or formula) The property of being able to be satisfied.
Examples
As noted above, this is the Cook–Levin theorem ; its proof that satisfiability is NP-complete contains technical details about Turing machines as they relate to the definition of NP.
Note that the tautology problem for positive Boolean formulae remains co-NP complete, even though the satisfiability problem is trivial, as every positive Boolean formula is satisfiable.
It can be seen as P's version of the Boolean satisfiability problem.
Particularly in hardware design and verification applications, satisfiability and other logical properties of a given propositional formula are sometimes decided based on a representation of the formula as a binary decision diagram (BDD).
The Boolean satisfiability problem is one of many such NP-complete problems.
The Boolean satisfiability problem (SAT) is, given a formula, to check whether it is satisfiable.