# Theodore Slaman

Theodore Allen Slaman | |
---|---|

Born | April 17, 1954 (age 62) |

Citizenship | United States |

Fields | Mathematics |

Institutions | University of California, Berkeley |

Alma mater | Harvard |

Doctoral advisor | Gerald E. Sacks |

**Theodore Allen Slaman** (born April 17, 1954) is a professor of mathematics at the University of California, Berkeley who works in recursion theory.

Slaman and W. Hugh Woodin formulated the Bi-interpretability Conjecture for the Turing degrees, which conjectures that the partial order of the Turing degrees is logically equivalent to second order arithmetic. They showed that the Bi-interpretability Conjecture is equivalent to there being no nontrivial automorphism of the Turing degrees. They also exhibited limits on the possible automorphisms of the Turing degrees by showing that any automorphism will be arithmetically definable.

## References

- Slaman, Theodore A. (1991). "Degree structures".
*Proceedings of the International Congress of Mathematicians, Vol. I, II (Kyoto, 1990)*. pp. 303–316. MR 93b:03074.

## External links

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