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Soundness theorem for propositional logic
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Mathematics
Area of mathematics
Foundations of mathematics
Mathematical logic
Propositional logic
Created
2026-09-24
Updated
2026-10-14
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If
Γ
⊢
t
, every
valuation
that satisfies all formulae in
Γ
also satisfies
t
.
This is
soundness
for the
propositional proof system
and
valuation
semantics
.
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(6)
Propositional logic
Mathematical logic
Foundations of mathematics
Area of mathematics
Mathematics
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Completeness theorem for propositional logic
Hilbert proof system
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Solution
Soundness
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