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math.LO2019
Self-full ceers and the uniform join operator
Uri Andrews, Noah Schweber, Andrea Sorbi
A computably enumerable equivalence relation (ceer) is called self-full if whenever is a reduction of to then the range of intersects all -equivalence classe…
math.LO2019
The Theory of Ceers Computes True Arithmetic
Uri Andrews, Noah Schweber, Andrea Sorbi
We show that the theory of the partial order of computably enumerable equivalence relations (ceers) under computable reduction is 1-equivalent to true arithmetic. We show the same…