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first-order and higher-order logic, model theory, set theory, proof theory, computability theory, formal languages, definability, interplay of syntax and semantics, constructive logic, intuitionism, philosophical logic, modal logic, completeness, Gödel incompleteness, decidability, undecidability, theories of truth, truth revision, consistency.
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MIP*=RE theorem and its impact on logic and proof theory
MIP* = RE does not imply that a model of quantum computation can solve undecidable problems, as you correctly intuit. Instead, it establishes the existence of (a type of) interactive proofs for the Ha …