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Computer Algebra and Symbolic Computation Lab (Ryoya Fukasaku)
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A lab that studies computer algebra, the handling of mathematical expressions on computers.
AboutAbout the lab
Research on computer algebra, handling mathematical expressions by computer.
Associate Professor Ryoya Fukasaku's lab studies the development and application of algebraic computation methods.
Its main research area is computer algebra. The lab has made quantifier elimination more efficient and implemented it in the computer algebra system Maple.
Quantifier elimination is a method that, given a first-order formula, computes a quantifier-free formula that is equivalent to it over the real field.
Recently, the lab has also begun applying computer algebra methods over the real numbers to the mathematical sciences.
Key terms
- Quantifier elimination
- A computational method that finds a quantifier-free formula equivalent to a given first-order formula over the real field.
- First-order formula
- A logical formula that states a mathematical claim using symbols for "for all" and "there exists." It can express many mathematical problems.
- Maple
- A computer algebra system. In this research, it is used to implement quantifier elimination.
ResearchResearch themes
Many real-world mathematical problems are problems over the real numbers, and quantifier elimination can solve a variety of them. This lab works on making quantifier elimination, a computer algebra method, more efficient and on applying it to the mathematical sciences.
View More ↗MembersFaculty
- Associate ProfessorRyoya Fukasaku
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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: “Polynomial expansion” Min666645 / CC BY-SA 3.0 (cropped)
- Related lab (Computer Algebra and Symbolic Computation Lab): “Roots of polynomial and its derivative” Illustr / CC BY-SA 4.0 (cropped)
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- Related lab (Magnitude Theory and Algebraic Topology Lab (Yasuhiko Asao)): “I heart algebraic topology ( )” Quinn Dombrowski from Berkeley, USA / CC BY-SA 2.0 (cropped)
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