Biography:Peter B. Andrews

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Short description: American mathematician (1937–2025)
Peter Bruce Andrews
Peter Andrews presenting lecture at IJCAR 2012
Born(1937-11-01)November 1, 1937
New York City
DiedApril 21, 2025(2025-04-21) (aged 87)
Burlington, NC
Known forQ0 (mathematical logic), TPS
Spouse(s)Catherine Clair “Cate” Andrews
ChildrenLyle, Bruce (Tobi)
Parent(s)Frank Emerson, Edith Lilian Severance[1]
AwardsHerbrand Award, 2003 [2]
Academic background
EducationPh.D. in Mathematics [3]
Alma materPrinceton University
ThesisA Transfinite Type Theory with Type Variables (1964)
Doctoral advisorAlonzo Church
Academic work
DisciplineMathematical logic
Sub-disciplineType theory
InstitutionsCarnegie Mellon University[4]
Doctoral studentsFrank Pfenning, Dale Miller (academic)
InfluencedWolfgang Bibel[5]
Website Peter B. Andrews, http://gtps.math.cmu.edu/andrews.html, retrieved 2025-06-06 

Peter Bruce Andrews (November 1, 1937 – April 21, 2025)[6] was an American mathematical logician. He is the creator of the mathematical logic Q0. He also received a patent on bandage for critical wounds.[7]

Theorem Proving System

His research group designed the TPS,[8] 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.[9]

Selected publications

A list is available on his personal web page.[10]

  • 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.

References

  1. Saxon, Wolfgang (1978-08-09). "F. E. ANDREWS DIES; FOUNDATION EXPERT". New York Times. https://www.nytimes.com/1978/08/09/archives/fe-andrews-dies-foundation-expert-author-of-30-books-was-head-of-a.html. 
  2. Andrews, Peter B. (2003-10-01). "Herbrand Award Acceptance Speech" (in en). Journal of Automated Reasoning 31 (2): 169–187. doi:10.1023/b:jars.0000009552.54063.f3. ISSN 0168-7433. 
  3. "Peter Bruce Andrews - The Mathematics Genealogy Project". https://www.genealogy.math.ndsu.nodak.edu/id.php?id=8034. 
  4. Peter Bruce Andrews Faculty Page, https://www.cmu.edu/math/people/faculty/andrews.html, retrieved 2025-06-06 
  5. Bibel, Wolfgang (1983). "Matings in matrices". Communications of the ACM 26 (11): 844–852. doi:10.1145/182.183. 
  6. Peter Bruce Andrews Obituary, https://www.lowefuneralhome.com/obituaries/peter-andrews, retrieved 2025-06-06 
  7. Peter B. Andrews, "Bandage which enables examining or treating a wound without removing the adhesive", US patent granted US11324638B2, published 2021-05-28, issued 2022-05-10
  8. TPS and ETPS, https://gtps.math.cmu.edu/tps.html, retrieved 2025-06-06 
  9. TPS source code, https://archive.org/details/theorem_proving_system_peter_bruce_andrews.tar, retrieved 2025-06-06 
  10. Peter B. Andrews, http://gtps.math.cmu.edu/andrews.html, retrieved 2025-06-06