Peter B. Andrews Explained
Peter Bruce Andrews (born 1937) is an American mathematician and Professor of Mathematics, Emeritus at Carnegie Mellon University in Pittsburgh, Pennsylvania,[1] and the creator of the mathematical logic Q0. He received his Ph.D. from Princeton University in 1964 under the tutelage of Alonzo Church.[2] He received the Herbrand Award in 2003.[3] His research group designed the TPS automated theorem prover. A subsystem ETPS (Educational Theorem Proving System) of TPS is used to help students learn logic by interactively constructing natural deduction proofs.
Publications
- 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. . 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. . Kluwer Academic Publishers, Dordrecht.
External links
Notes and References
- Web site: Peter B. Andrews. gtps.math.cmu.edu. 2018-03-10.
- Web site: Alonzo Church - The Mathematics Genealogy Project. www.genealogy.math.ndsu.nodak.edu. 2018-03-10.
- Andrews. Peter B.. 2003-10-01. Herbrand Award Acceptance Speech. Journal of Automated Reasoning. en. 31. 2. 169–187. 10.1023/b:jars.0000009552.54063.f3. 0168-7433. 10.1.1.69.5121. 9542444.