1.5 Quantifiers & Predicate Logic | 1.5 Quantifiers & Predicate Logic | Unit 1: Proofs | Mathematics for Computer Science | Electrical Engineering and Computer Science

Satisfiability

Select all of the options that guarantee that predicate \(P(x)\) is satisfiable:

\(\forall x. P(x)\)

\(\exists x. P(x)\)

\(\forall x. \text{NOT}(P(x))\)

\(\text{NOT}(\forall x. \text{NOT}(P(x)))\)

\(\exists x. \text{NOT}(P(x))\)

\(\text{NOT}(\exists x. \text{NOT}(P(x))\)