Peter B. Andrews
(Redirected from Theorem Proving System)
Peter Bruce Andrews | |
|---|---|
| File:Peter Andrews IMG 0397.jpg Peter Andrews presenting lecture at IJCAR 2012 | |
| Born | November 1, 1937 |
| Died | April 21, 2025 (aged 87) |
| Known for | Q0 (mathematical logic), TPS |
| Spouse | Catherine Clair “Cate” Andrews |
| Children | Lyle, Bruce (Tobi) |
| Parent(s) | Frank Emerson, Edith Lilian Severance[4] |
| Awards | Herbrand Award, 2003 [5] |
| Academic background | |
| Education | Ph.D. in Mathematics [1] |
| 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[2] |
| Doctoral students | Frank Pfenning, Dale Miller (academic) |
| Influenced | Wolfgang Bibel[3] |
| Website | Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value). |
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 | edit source]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 | edit source]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. Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).. 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. Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).. Kluwer Academic Publishers, Dordrecht.
References
[edit | edit source]- ^ Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
- ^ Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
- ^ Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
- ^ Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
- ^ Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
- ^ Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
- ^ US granted US11324638B2, Peter B. Andrews, "Bandage which enables examining or treating a wound without removing the adhesive", published Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value)., issued Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
- ^ Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
- ^ Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
- ^ Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
Lua error in Module:Authority_control at line 153: attempt to index field 'wikibase' (a nil value).
