soundness

noun

1. 1

   The state or quality of being sound.

2. 2

   The result or product of being sound.

3. 3

   The property (of an argument) of not only being valid, but also of having true premises.

4. 4

   The property of a logical theory that whenever a wff is a theorem then it must also be valid. Symbolically, letting T represent a theory within logic L, this can be represented as the property that whenever T \vdash \phi is true, then T \vDash \phi must also be true, for any wff φ of logic L.