unsatisfiable's Usage Examples:

The opposites of these concepts are unsatisfiability and invalidity, that is, a formula is unsatisfiable if none of the interpretations make the formula.

interpretation, and thus a tautology is a formula whose negation is unsatisfiable.

conjunction is proved to be unsatisfiable.

If all conjunctions are proved unsatisfiable, the original set of formulae is unsatisfiable.

generalize first-order logic, in the sense that, in a certain limit, all unsatisfiable statements have a probability of zero, and all tautologies have probability.

given an unsatisfiable Boolean propositional formula in conjunctive normal form, a subset of clauses whose conjunction is still unsatisfiable is called.

unsatisfiable.

In the figure to the right, the left circuit can be satisfied by setting both inputs to be 1, but the right circuit is unsatisfiable.

Moreover, Herbrand's theorem states that if S is unsatisfiable then there is a finite unsatisfiable set of ground instances from the Herbrand universe.

If this set is found out to be unsatisfiable, the interpreter backtracks, trying to use other clauses for proving.

an unsatisfiable formula has an unsatisfiable ground instance, and on the fact that a formula is valid if and only if its negation is unsatisfiable.

proving that a first-order formula is unsatisfiable.

Attempting to prove a satisfiable first-order formula as unsatisfiable may result in a nonterminating computation;.

formula is FALSE for all possible variable assignments and the formula is unsatisfiable.

incomplete in general, that is, they may solve the problem or prove it unsatisfiable, but not always.

mathematical proof) that the algorithm achieves 7/8 of optimal even on unsatisfiable MAX-3SAT instances.

({\text{shaves}}(x,y)\iff \neg {\text{shaves}}(y,y))))} This sentence is unsatisfiable (a contradiction) because of the universal quantifier ( ∀ ) {\displaystyle.

He established complexity results for detecting minimally unsatisfiable formulas.

Synonyms:

unsatiable; insatiable; insatiate;

Antonyms:

gormandise; eat; glut; satiate;