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How do you use Satisfiable in a sentence? See 10+ example sentences showing how this word appears in different contexts, including synonyms like satiate or satiated, plus the exact meaning.

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Satisfiable in a sentence

Satisfiable meaning

Capable of being satisfied.

Synonyms of Satisfiable

satiable satiate satiated

Related words

Other words often associated with Satisfiable or its synonyms:

sated gorged jaded ingest replete take consume sate fill

Using Satisfiable

  • The main meaning on this page is: Capable of being satisfied.
  • Useful related words include: satiable, satiate, satiated.
  • In the example corpus, satisfiable often appears in combinations such as: or satisfiable, is satisfiable, satisfiable if.

Context around Satisfiable

  • Average sentence length in these examples: 23.1 words
  • Position in the sentence: 1 start, 6 middle, 9 end
  • Sentence types: 16 statements, 0 questions, 0 exclamations

Often before:

indeed 1× either 1×

Often after:

conjunction 1× true 1×

Sentence patterns with Satisfiable

These short patterns come directly from the example sentences and show how the word is often embedded:

refutable or satisfiable 3× ambiguity are satisfiable true false 1× conjunction is satisfiable if and 1× conjunctions is satisfiable and a 1× formula is satisfiable 1× is called satisfiable 1× is either satisfiable or refutable 1× is indeed satisfiable if and 1×

Sentence openings and endings

Common sentence openings:

an initial problem 1× however suppose that 1× if every formula 1× let us call 1× note that the 1× now is a 1×

Common sentence endings:

refutable or satisfiable 3× cardinal and ordinal 1× conjunction of constraints 1× degree k 1 1× formula is satisfiable 1× in linear time 1×

Words around Satisfiable

Just before it in the word index:

satisfiability 11 satisfi 3 satisfactory 342 satisfactorily 69 satisfactions 10 satisfaction 1.061

Just after it in the word index:

satisfied 1.316 satisfiers 2 satisfies 173 satisfy 905 satisfying 774 satisfyingly 22

Similar in corpus frequency:

aav 21 abdicating 21 abductor 21 abet 21 abh 21 abhorred 21

Corpus analysis for Satisfiable

  • In this selection, "satisfiable" usually appears near the end of the sentence. The average example has 23.1 words, and this corpus slice is mostly made up of statements.
  • Around the word, indeed, either, conjunction and true stand out and add context to how "satisfiable" is used.
  • Recognizable usage signals include refutable or satisfiable and ambiguity are satisfiable true false. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "satisfiable" sits close to words such as aav, abdicating and abductor, which helps place it inside the broader word index.

Example types with satisfiable

The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:

Short example sentences

So φ is satisfiable, and we are done. (8 words)

If this is the case, the formula is called satisfiable. (10 words)

Therefore, model theorists often use "consistent" as a synonym for "satisfiable". (11 words)

Longer example sentences

Such a formula is indeed satisfiable if and only if at least one of its conjunctions is satisfiable, and a conjunction is satisfiable if and only if it does not contain both x and NOT x for some variable x. This can be checked in linear time. (47 words)

Then, once this claim (expressed in the previous sentence) is proved, it will suffice to prove " is either refutable or satisfiable" only for φ's belonging to the class C. Note also that if φ is provably equivalent to ψ (i. (41 words)

If on the other hand Theorem 2 holds and φ is valid in all structures, then ¬φ is not satisfiable in any structure and therefore refutable; then ¬¬φ is provable and then so is φ, thus Theorem 1 holds. (39 words)

Example sentences (16)

Such a formula is indeed satisfiable if and only if at least one of its conjunctions is satisfiable, and a conjunction is satisfiable if and only if it does not contain both x and NOT x for some variable x. This can be checked in linear time.

However, suppose that for every formula φ there is some formula ψ taken from a more restricted class of formulas C, such that " is either refutable or satisfiable" → " is either refutable or satisfiable".

An initial problem is solved by reducing it to a satisfiable conjunction of constraints.

If every formula in R of degree k is either refutable or satisfiable, then so is every formula in R of degree k+1.

If on the other hand Theorem 2 holds and φ is valid in all structures, then ¬φ is not satisfiable in any structure and therefore refutable; then ¬¬φ is provable and then so is φ, thus Theorem 1 holds.

If this is the case, the formula is called satisfiable.

Let us call the class of all such formulas R. We are faced with proving that every formula in R is either refutable or satisfiable.

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.

Advertentie

Now is a formula of degree k and therefore by assumption either refutable or satisfiable.

Other terms with this type of ambiguity are: satisfiable, true, false, function, property, class, relation, cardinal, and ordinal.

So φ is satisfiable, and we are done.

The Boolean satisfiability problem (SAT) is, given a formula, to check whether it is satisfiable.

Then, once this claim (expressed in the previous sentence) is proved, it will suffice to prove " is either refutable or satisfiable" only for φ's belonging to the class C. Note also that if φ is provably equivalent to ψ (i.

Therefore, model theorists often use "consistent" as a synonym for "satisfiable".

We have proved that φ is either satisfiable or refutable, and this concludes the proof of the Lemma.

We immediately restate it in a form more convenient for our purposes: Theorem 2. Every formula is either refutable or satisfiable in some structure.

Advertentie

Common combinations with satisfiable

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "satisfiable" in a sentence?
An example: "Such a formula is indeed satisfiable if and only if at least one of its conjunctions is satisfiable, and a conjunction is satisfiable if and only if it does not contain both x and NOT x for some variable x. This can be checked in linear time." This page contains 10+ example sentences with the word "satisfiable" from authentic English texts.
What does "satisfiable" mean?
Satisfiable means: Capable of being satisfied.
What are synonyms of "satisfiable"?
Common synonyms of "satisfiable" include: satiable, satiate, satiated.
How many example sentences with "satisfiable" are there?
Voorbeeldzinnen.info contains at least 10+ example sentences with "satisfiable", drawn from a database of millions of English sentences.