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Information Mathematics (Tsukada) Lab
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Expressing the meaning of programs in mathematics and automatically verifying that they are correct.
AboutAbout the lab
The meaning of programs, in the language of mathematics.
Prof. Tsukada studies programming language theory.
Using tools such as mathematical logic, category theory, and machine learning, the lab treats programs as mathematical objects.
A particular recent interest is game semantics and related models.
Another pillar is automated verification, in which machines check whether programs run correctly.
Key terms
- programming language theory
- A field that studies the mechanisms and meaning of programming languages as mathematics
- game semantics
- An approach that represents the meaning of a program as an interaction in a game in which two players move alternately
- category theory
- A theory that grasps mathematical structures in a unified way by looking only at objects and the arrows between them
NewsLab news
Paper by Prof. Tsukada and co-authors published in Proceedings of the ACM on Programming Languages
Paper by Prof. Tsukada and co-authors receives the Distinguished Paper Award at POPL 2025
Prof. Tsukada receives the "Distinguished Paper Award" (POPL 2025)
Prof. Tsukada receives the Chiba University Advanced Academic Award (Chiba University)
ResearchResearch themes
The lab studies programming language theory. Using tools from mathematical logic, category theory, and machine learning, it focuses on two pillars: game semantics and the automated verification of programs.
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MembersFaculty
- ProfessorTakeshi Tsukada
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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: “Fractal tree01” TR / CC BY-SA 4.0 (cropped)
- Programming Language Theory: “Lambda calculus-Church numerals” Isaac David / Public domain (cropped)
- Related lab (Mathematical Informatics Lab): “Atari 800 XL home computer with TV monitor and tape program recorder XC12 (cropped)” winkelnkemper / CC BY-SA 2.0 (cropped)
- Related lab (Algebra (Otsubo) Lab): “Ulam Spiral Divisors 100000” Cortexd / CC BY-SA 3.0 (cropped)
- Related lab (Algebra (Matsuda) Lab): “Abox - Sphere 4D 8K HQ OpenCL 20200323 klein” PantheraLeo1359531 / CC BY 4.0 (cropped)
- Related lab (Algebra Lab (Kenta Sato)): “Chatelet surface” Claudio Rocchini / CC BY-SA 3.0 (cropped)
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