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COMPUTABILITY THEORY

MATH 773
Course Description

Turing degree and jump, strong reducibilities, arithmetic hierarchy, index sets, simple and (hyper)hypersimple sets, easy forcing arguments in computability theory, finite and infinite injury, Friedberg-Muchnik and Sacks Splitting Theorem, Sacks Jump and Sacks Density Theorems, computable ordinals. Familiarity with the topics in a basic Foundations course such asMATH 770is strongly recommended.

Prerequisites

Graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program

Satisfies

This course does not satisfy any prerequisites.

Credits

Not Reported

Offered

Not Reported

Grade Point Average
3.21

-7.02% from Historical

Completion Rate
100%

8% from Historical

A Rate
42.86%

-34.5% from Historical

Class Size
7

46.91% from Historical

Cumulative Grade Distribution

Instructors (2026 Summr)

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