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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.
2
votes
Strongly reducible but not effectively interpretable
There are a lot of such examples (may be not so natural). The easiest example is established here https://link.springer.com/article/10.1007/s10469-009-9037-1
(instead of effective interpretability we …