Richard Shore

Richard Arnold Shore is a professor of mathematics at Cornell University who works in recursion theory. He is particularly known for his work on $\text{[math]}$ , the partial order of the Turing degrees.

Shore settled the Rogers homogeneity conjecture by showing that there are Turing degrees $\text{[math]}$ and $\text{[math]}$ such that $\text{[math]}$ and $\text{[math]}$ , the structures of the degrees above $\text{[math]}$ and $\text{[math]}$ respectively, are not isomorphic.
In joint work with Theodore Slaman, Shore showed that the Turing jump is definable in $\text{[math]}$ .

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18 de agosto, 1946

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