Peter B. Andrews

For other people named Peter Andrews, see Peter Andrews (disambiguation).

Peter Bruce Andrews
Peter Andrews presenting lecture at IJCAR 2012
Born	(1937-11-01)November 1, 1937 New York City
Died	April 21, 2025(2025-04-21) (aged 87) Burlington, NC
Known for	Q0 (mathematical logic), TPS
Spouse	Catherine Clair “Cate” Andrews
Children	Lyle, Bruce (Tobi)
Parent(s)	Frank Emerson, Edith Lilian Severance
Awards	Herbrand Award, 2003
Academic background
Education	Ph.D. in Mathematics
Alma mater	Princeton University
Thesis	A Transfinite Type Theory with Type Variables (1964)
Doctoral advisor	Alonzo Church
Academic work
Discipline	Mathematical logic
Sub-discipline	Type theory
Institutions	Carnegie Mellon University
Doctoral students	Frank Pfenning Dale Miller Michael Kohlhase
Influenced	Wolfgang Bibel
Website	Peter B. Andrews, archived from the original on 2022-01-19, retrieved 2025-06-06

Peter Bruce Andrews (November 1, 1937 – April 21, 2025) was an American mathematical logician. He is the creator of the mathematical logic Q₀. He also received a patent for a bandage system that allows access to wounds without the need to remove the bandage completely.

Theorem Proving System

His research group designed the TPS, an automated theorem proving system for first-order and higher-order logic. A subsystem ETPS of TPS is used to help students learn logic by interactively constructing natural deduction proofs. Source code of TPS is available on the Internet Archive.

Selected publications

A list is available on his personal web page.

• Andrews, Peter B. (1965). A Transfinite Type Theory with Type Variables. North Holland Publishing Company, Amsterdam.
• Andrews, Peter B. (1971). "Resolution in type theory". Journal of Symbolic Logic 36, 414–432.
• Andrews, Peter B. (1981). "Theorem proving via general matings". J. Assoc. Comput. March. 28, no. 2, 193–214.
• Andrews, Peter B. (1986). An introduction to mathematical logic and type theory: to truth through proof. Computer Science and Applied Mathematics. ISBN 978-0-1205-8535-9. Academic Press, Inc., Orlando, FL.
• Andrews, Peter B. (1989). "On connections and higher-order logic". J. Automat. Reason. 5, no. 3, 257–291.
• Andrews, Peter B.; Bishop, Matthew; Issar, Sunil; Nesmith, Dan; Pfenning, Frank; Xi, Hongwei (1996). "TPS: a theorem-proving system for classical type theory". J. Automat. Reason. 16, no. 3, 321–353.
• Andrews, Peter B. (2002). An introduction to mathematical logic and type theory: to truth through proof. Second edition. Applied Logic Series, 27. ISBN 978-1-4020-0763-7. Kluwer Academic Publishers, Dordrecht.