Hirokazu Anai

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About

Hirokazu Anai is a leading figure in the symbiosis of mathematics and computation, whose work bridges pure theory and practical automation. His research centers on computer algebra, symbolic computation, and the formalization of mathematical reasoning—areas where he explores how machines can not only compute but also prove and discover mathematical truths. Anai’s most influential contribution is his 2014 paper "Mathematics by Machine," which has garnered 18 citations and provides a compelling historical and philosophical framework for automated mathematics. In this work, he traces the lineage from Hilbert’s program—which sought to formalize all mathematical reasoning—through Gödel’s incompleteness theorems, to modern computational approaches that can still automate significant portions of mathematical practice. This paper has become a touchstone for researchers in symbolic computation and automated theorem proving, offering both a cautionary tale and an optimistic roadmap. Anai’s broader impact lies in demonstrating that despite theoretical limits, practical automation of mathematics is not only possible but transformative, inspiring a generation of researchers to pursue the dream of machines that think mathematically.