3 problems
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Conservativity conjecture for the restricted-induction theory CD^-
Let be the theory obtained by restricting induction to formulae in the base language, rather than allowing induction for formulae containing the truth predicate…
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Kahle's conjecture on the proof-theoretic strength of supervaluational Frege structure with universes
The supervaluational Frege-structure theory extends Peano arithmetic with a supervaluation truth predicate, and a theory obtained by adding universes is understood an…
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Conjecture that the structural properties of models of UTB fail for CT^-
Let and denote the classes of models of the corresponding theories of truth. The structural properties under consideration are: having an element…