CORDIS Project
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This project explores the algorithmic complexity of mathematical structures, focusing on computable structure theory and its relationship with descriptive set theory. It aims to connect the descriptive complexity of sets with their realizability as degree spectra, enhancing understanding in both fields.
We will investigate the algorithmic complexity of mathematical structures and its connection with notions of complexity studied in descriptive set theory at.
The main subject area of the planned research is computable structure theory — an area of logic concerning itself with the computational complexity of countable mathematical structures.
Mathematicians usually consider structures up to some equivalence relation.
For example, a number theorists works in the standard model of arithmetic, the n…
TECHNISCHE UNIVERSITAET WIEN
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LOS ANGELES UCLA SANTA BARBARA UCSB DAVIS UCD RIVERSIDE UCR SAN DIEGO UCSD SANTA CRUZ UCSC IRVIN
United States, Berkeley
Type: University / higher education
Activity type: Higher or Secondary Education Establishments
SME: No
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