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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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Logic without disjunction
I'm working on a small proof system, which in principle only has equality as predicate. This equality has some axioms which make them sort of a structural equality: two terms are equal iff their const …