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Gödel's completeness theorem
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Gödel's completeness theorem
Gödel's completeness theorem
is a fundamental theorem in
mathematical logic
that establishes a correspondence between
semantic
truth and syntactic
provability
in
first-order logic
. It makes a close link between
model theory
that deals with what is true in different models, and
proof theory
that studies what can be formally proven in particular
formal systems
.
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