Welcome to my home page. I am a professor in the Department of Philosophy at Carnegie Mellon University, and (by courtesy) in the Department of Mathematical Sciences. I am associated with Carnegie Mellon's interdisciplinary program in Pure and Applied Logic. You can read my CV.
Mathematical logic, proof theory, philosophy of mathematics, formal verification, automated reasoning, history of mathematics.
Office: Baker Hall 135E
Department of Philosophy
Baker Hall 161
Carnegie Mellon University
Pittsburgh, PA 15213
Robert Lewis and I are organizing a meeting, Formal Methods in Mathematics / Lean Together 2020. It will take place January 6-10, 2020.
Lean's mathlib community has written an overview of the library: arXiv. It has been accepted to Certified Proofs and Programs (CPP) 2019.
I am honored to have been interviewed by Richard Marshall in his 3:16 series, and also to have been interviewed by the High School Journal of Mathematics, an online journal staffed entirely by high school students.
Kevin Buzzard has given an inspiring talk on interactive theorem proving: slides, video.
My article, "The mechanization of mathematics," has been reprinted in the Best Writing on Mathematics in 2019.
I have written a draft of a paper on the reliability of mathematical inference: philsci archive.
I recently gave a talk on automated reasoning for mathematics: pdf. Here is a repository I set up to gather data: github.
An article I wrote on the relationship between philosophy and mathematics, with some reflection on the state of the philosophy of mathematics today, has appeared in Aeon: html.
I have contributed to the development of a new theorem prover, Lean, and its library. There is a tutorial introduction here: online version, pdf. You can meet the Lean community on a Zulip channel.
Rob Lewis, Floris van Doorn, and I have prepared materials based on Lean for an undergraduate introduction to logic and mathematical proof: online version, pdf. You can read about the course here: pdf. I also maintain a web page with additional resources for using formal methods in education.
I am on the editorial boards of the Journal of Automated Reasoning and Logical Methods in Computer Science.