completesa — meaning in English
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English meaning
- completeness noun The state or condition of being complete.
- soundness noun The state or quality of being sound.
Senses
completesa is used for these senses in English:
- completeness The state or condition of being complete.
- soundness (logic) 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 \varphi is true, then T \vDash \varphi must also be true, for any wff φ of logic L.
completeness — full definition
- noun The state or condition of being complete.
- noun The property of a logical theory that whenever a wff is valid then it must also be a theorem. Symbolically, letting T represent a theory within logic L, this can be represented as the property that whenever T⊨ϕ is true, then T⊢ϕ must also be true, for any wff φ of logic L.
soundness — full definition
- noun The state or quality of being sound.
- noun The result or product of being sound.
- noun The property (of an argument) of not only being valid, but also of having true premises.
- noun 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⊢φ is true, then T⊨φ must also be true, for any wff φ of logic L.