# how to pronounce soundness

## meanings of soundness

noun:

1. The state or quality of being sound.
2. 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.
3. The property (of an argument) of not only being valid, but also of having true premises.
4. The result or product of being sound.