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Hasegawa Lab
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The lab explores the mathematical structures that underlie programming languages.
AboutAbout the lab
The mathematical structures beneath programs
The Hasegawa Lab studies the foundational frameworks of programming languages, mainly from a theoretical standpoint.
Its central theme is analyzing the mathematical structures that appear in type theory and, through them, exploring how computation works.
Type theory adds the notion of types to the lambda calculus, and it has long been studied as a theoretical foundation for designing programming languages.
In particular, investigating the properties of type theories with polymorphism is one of the lab's central challenges.
Key terms
- Type theory
- A theory that uses the kinds of data (types) as a guide to examine the structure and correctness of programs
- Lambda calculus
- A fundamental model of computation that expresses computation using only the creation of functions and the application of functions to values
- Polymorphism
- A property that allows a single program to be used with data of various types
ResearchResearch themes
The lab's field is theoretical computer science, with type theory and programming language theory as its themes. It conducts research to establish the theoretical foundations of more powerful type theories.
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MembersFaculty
- Associate ProfessorRyu HasegawaPublications ↗
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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: “Lambda cube” Денис Москвин / Public domain (cropped)
- Type Theory and Programming Language Theory: “A lambda-term with links” PIerre.Lescanne / CC BY-SA 4.0 (cropped)
- Related lab (Kashiwabara Lab): “Karmansche Wirbelstr kleine Re” Jürgen Wagner / CC BY-SA 4.0 (cropped)
- Related lab (Saito Lab): “Example finite element mesh, for illustrating the concept” SamitchSandia / CC BY-SA 4.0 (cropped)
- Related lab (Sakai Lab): “Cantor's theorem visual” Electro blob / CC BY-SA 4.0 (cropped)
- Related lab (Shimomura Lab): “Traveling wave” P.wormer / CC BY-SA 3.0 (cropped)
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