Explore Satisfiability through 10+ example sentences from English, with an explanation of the meaning. Ideal for language learners, writers and word enthusiasts.
Satisfiability in a sentence
Satisfiability meaning
The property of being able to be satisfied.
Using Satisfiability
- The main meaning on this page is: The property of being able to be satisfied.
- In the example corpus, satisfiability often appears in combinations such as: satisfiability problem, boolean satisfiability, the satisfiability.
Context around Satisfiability
- Average sentence length in these examples: 22 words
- Position in the sentence: 6 start, 3 middle, 1 end
- Sentence types: 10 statements, 0 questions, 0 exclamations
Corpus analysis for Satisfiability
- In this selection, "satisfiability" usually appears near the start of the sentence. The average example has 22 words, and this corpus slice is mostly made up of statements.
- Around the word, boolean, recent, applications, problem and modulo stand out and add context to how "satisfiability" is used.
- Recognizable usage signals include more recent satisfiability modulo theories and of the satisfiability of 2cnf. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "satisfiability" sits close to words such as aadi, aayush and abbottabad, which helps place it inside the broader word index.
Example types with satisfiability
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
The Boolean satisfiability problem is one of many such NP-complete problems. (12 words)
It can be seen as P's version of the Boolean satisfiability problem. (13 words)
The Boolean satisfiability problem (SAT) is, given a formula, to check whether it is satisfiable. (15 words)
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). (33 words)
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. (30 words)
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. (27 words)
Example sentences (10)
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.
It can be seen as P's version of the Boolean satisfiability problem.
More recent Satisfiability Modulo Theories solvers use complete integer programming techniques to handle quantifier-free fragment of Presburger arithmetic theory (King, Barrett, Tinelli 2014).
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.
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.
The membership in P of the satisfiability of 2CNF, Horn, and XOR-SAT formulae are special cases of this theorem.
The satisfiability problem is the problem of whether there are assignments of truth values to variables that make a Boolean expression true.
XOR-satisfiability Another special case is the class of problems where each clause contains XOR (i.e. exclusive or ) rather than (plain) OR operators.
Common combinations with satisfiability
These word pairs occur most frequently in English texts: