Peter Aczel
Peter Aczel | |
|---|---|
 Peter Aczel (left) with Michael Rathjen, Oberwolfach 2004 | |
| Born | Peter Henry George Aczel 31 October 1941 |
| Alma mater | University of Oxford |
| Known for | Aczel's anti-foundation axiom |
| Scientific career | |
| Institutions | |
| Thesis | Mathematical problems in logic (1967) |
| Doctoral advisor | John Newsome Crossley |
| Doctoral students | |
| Website | www |
Peter Henry George Aczel (/ˈæksəl/; born October 31, 1941) is a British mathematician, logician and Emeritus joint Professor in the School of Computer Science and the School of Mathematics at the University of Manchester.[7] He is known for his work in non-well-founded set theory,[8] constructive set theory,[9][10] and Frege structures.[11][12]
Education
Aczel completed his Bachelor of Arts in Mathematics in 1963[13] followed by a DPhil at the University of Oxford in 1966 under the supervision of John Crossley.[7][14]
Career and research
After two years of visiting positions at the University of Wisconsin–Madison and Rutgers University Aczel took a position at the University of Manchester. He has also held visiting positions at the University of Oslo, California Institute of Technology, Utrecht University, Stanford University and Indiana University Bloomington.[13] He was a visiting scholar at the Institute for Advanced Study in 2012.[15]
Aczel is on the editorial board of the Notre Dame Journal of Formal Logic[16] and the Cambridge Tracts in Theoretical Computer Science, having previously served on the editorial boards of the Journal of Symbolic Logic and the Annals of Pure and Applied Logic.[13][17]
References
- ^ Belo, Joao Filipe Castel-Branco (2008). Foundations of dependently sorted logic (PhD thesis). University of Manchester. Archived from the original on 2012-12-23.
{{cite thesis}}: Unknown parameter|dead-url=ignored (|url-status=suggested) (help) - ^ Fox, Christopher Martin (2005). Point-set and point-free topology in constructive set theory (PhD thesis). University of Manchester.[dead link]
- ^ Gambino, Nicolas (2002). Sheaf interpretations for generalised predicative intuitionistic systems (PhD thesis). University of Manchester.[dead link]
- ^ Barthe, Gilles Jacques (1993). Term declaration logic and generalised composita (PhD thesis). University of Manchester.[dead link]
- ^ Koletsos, George (1980). Functional interpretation and β-logic (PhD thesis). University of Manchester.[dead link]
- ^ Väänänen, Jouko Antero (1977). Applications of set theory to generalised quantifiers (PhD thesis). University of Manchester.[dead link]
- ^ a b Peter Aczel at the Mathematics Genealogy Project
- ^ plato.stanford.edu
- ^ Aczel, P. (1977). "An Introduction to Inductive Definitions". Handbook of Mathematical Logic. Studies in Logic and the Foundations of Mathematics. Vol. 90. pp. 739–201. doi:10.1016/S0049-237X(08)71120-0. ISBN 9780444863881.
- ^ Aczel, P.; Mendler, N. (1989). "A final coalgebra theorem". Category Theory and Computer Science. Lecture Notes in Computer Science. Vol. 389. p. 357. doi:10.1007/BFb0018361. ISBN 3-540-51662-X.
- ^ Aczel, P. (1980). "Frege Structures and the Notions of Proposition, Truth and Set". The Kleene Symposium. Studies in Logic and the Foundations of Mathematics. Vol. 101. pp. 31–32. doi:10.1016/S0049-237X(08)71252-7. ISBN 9780444853455.
- ^ Peter Aczel at DBLP Bibliography Server
- ^ a b c Peter Aczel page the University of Manchester
- ^ Aczel, Peter (1966). Mathematical problems in logic (DPhil thesis). University of Oxford.(subscription required)
- ^ Institute for Advanced Study: A Community of Scholars
- ^ Notre Dame Journal of Formal Logic
- ^ Annals of Pure and Applied Logic
