Published September 7, 2022 | Version v1
Journal article Open

The Turing Degrees and Keisler's Order

  • 1. University of Chicago
  • 2. Hebrew University of Jerusalem

Description

There is a Turing functional Φ taking A′ to a theory TA whose complexity is exactly that of the jump of A, and which has the property that A ≤ TB if and only if TA ⊴ TB in Keisler's order. In fact, by more elaborate means and related theories, we may keep the complexity at the level of A without using the jump.

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Additional details

Identifiers

DOI
10.1017/jsl.2022.63
Other
oai:uchicago.tind.io:6347

Funding

National Science Foundation
2051825
BSF
3013005232

UChicago Information

Division(s)
Physical Sciences Division
Department(s)
Mathematics