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Mathematical Logic Lab (Matthew Debrecht)
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A lab that studies how computation works, starting from logic and topological spaces.

AboutAbout the lab
Connecting the shape of spaces with the theory of computation.
The Debrecht Lab works in mathematical logic, topology, the theory of computation, and machine learning.
Its main papers deal with topological spaces that admit computation (computable topology) and with quasi-Polish spaces.
Undergraduates are assigned to the Division of Mathematical and Information Sciences and carry out graduation research there (for graduate students, this is the Division of Mathematical and Information Sciences in the Department of Human and Environmental Studies, Graduate School of Human and Environmental Studies).
Key terms
- Topological space
- A space that retains only the notion of "nearness" between points
- Computable topology
- A field that treats the properties and constructions of topological spaces in a form that a computer can compute
ResearchResearch themes
The lab studies the theory of computation using methods from mathematical logic and topology.
View More ↗MembersFaculty
- ProfessorDEBRECHT Matthew
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Cantor set radial phoenix” Cmglee / CC BY-SA 4.0 (cropped)
- A Theory of Computable Spaces: “Cantor set binary tree” Sam Derbyshire / CC BY-SA 4.0 (cropped)
- Related lab (計算理論
(THIES Holger) ): “Coq plus comm screenshot” Hugo Herbelin / CC BY-SA 3.0 (cropped) - Related lab (森成物性理論研究室): “Tile levitates by Meissner effect” Garrett Pennell / CC BY-SA 3.0 (cropped)
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