Jump to content
Wikipedia The Free Encyclopedia

Peter B. Andrews

From Wikipedia, the free encyclopedia
(Redirected from Theorem Proving System)
American mathematician (1937–2025)
For other people named Peter Andrews, see Peter Andrews (disambiguation).
Peter Bruce Andrews
Peter Andrews presenting lecture at IJCAR 2012
Born(1937年11月01日)November 1, 1937
DiedApril 21, 2025(2025年04月21日) (aged 87)
Known forQ0 (mathematical logic), TPS
SpouseCatherine Clair "Cate" Andrews
ChildrenLyle, Bruce (Tobi)
Parent(s)Frank Emerson, Edith Lilian Severance[4]
AwardsHerbrand Award, 2003 [5]
Academic background
EducationPh.D. in Mathematics [1]
Alma mater Princeton University
Thesis A Transfinite Type Theory with Type Variables (1964)
Doctoral advisor Alonzo Church
Academic work
DisciplineMathematical logic
Sub-disciplineType theory
InstitutionsCarnegie Mellon University [2]
Doctoral studentsFrank Pfenning, Dale Miller (academic)
InfluencedWolfgang Bibel [3]
WebsitePeter B. Andrews, archived from the original on 2022年01月19日, retrieved 2025年06月06日

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

[edit ]

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

[edit ]

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

[edit ]
  1. ^ "Peter Bruce Andrews - The Mathematics Genealogy Project" . Retrieved 2025年06月06日.
  2. ^ Peter Bruce Andrews Faculty Page, archived from the original on 2024年12月09日, retrieved 2025年06月06日
  3. ^ Bibel, Wolfgang (1983). "Matings in matrices". Communications of the ACM . 26 (11): 844–852. doi:10.1145/182.183.
  4. ^ Saxon, Wolfgang (1978年08月09日). "F. E. ANDREWS DIES; FOUNDATION EXPERT". New York Times . Retrieved 2025年06月08日.
  5. ^ Andrews, Peter B. (2003年10月01日). "Herbrand Award Acceptance Speech". Journal of Automated Reasoning. 31 (2): 169–187. CiteSeerX 10.1.1.69.5121 . doi:10.1023/b:jars.0000009552.54063.f3. ISSN 0168-7433. S2CID 9542444.
  6. ^ Peter Bruce Andrews Obituary, archived from the original on 2025年06月06日, retrieved 2025年06月06日
  7. ^ US granted US11324638B2, Peter B. Andrews, "Bandage which enables examining or treating a wound without removing the adhesive", published 2021年05月28日, issued 2022年05月10日 
  8. ^ TPS and ETPS, archived from the original on 2022年03月27日, retrieved 2025年06月06日
  9. ^ TPS source code , retrieved 2025年06月06日
  10. ^ Peter B. Andrews, archived from the original on 2022年01月19日, retrieved 2025年06月06日
Flag of United States Scientist icon

This article about an American mathematician is a stub. You can help Wikipedia by expanding it.

AltStyle によって変換されたページ (->オリジナル) /