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math.LO2025
A Variant Of Chaitin's Omega function
Yuxuan Li, Shuheng Zhang, Xiaoyan Zhang +1
We investigate the continuous function defined by as a variant of Chaitin's Omega from the perspective of analysis, computability, and al…
math.LO2025
When is
Jinhe Ye, Liang Yu, Xuanheng zhao
We show that there is an additive subgroup of and such that and . However, if $A \…