Welcome to my home page. I am a professor in the Department of Philosophy and the Department of Mathematical Sciences at Carnegie Mellon University, and associated with Carnegie Mellon's interdisciplinary program in Pure and Applied Logic. You can also read my CV.
Mathematical logic, proof theory, philosophy of mathematics, formal verification, automated reasoning, history of mathematics.
Baker Hall 135E
Department of Philosophy
Baker Hall 161
Carnegie Mellon University
Pittsburgh, PA 15213
I was the co-organizer of the Big Proof program this summer at the Isaac Newton Institute in Cambridge, England. Most of the talks and seminars were recorded and are available online.
I have started maintaining a web page listing resources for using formal methods in education.
Minchao Wu has successfully defended his MS thesis: A formally verified proof of Kruskal's tree theorem in Lean, pdf.
I am on the editorial boards of the Journal of Automated Reasoning, Computability, Logical Methods in Computer Science, the Journal of Logic and Analysis, and the Journal of Formalized Reasoning. The last three are open access journals.
I am contributing to the development of a new theorem prover, Lean. There is a tutorial introduction here: online version, pdf.
Rob Lewis, Floris van Doorn, and I have prepared materials based on Lean for an undergraduate course: online version, pdf.