Peter Aczel
| Peter Aczel | |
|---|---|
 Peter Aczel (left) with Michael Rathjen, Oberwolfach 2004 | |
| Born |
Peter Henry George Aczel 31 October 1941 |
| Institutions | |
| Alma mater | University of Oxford |
| Thesis | Mathematical problems in logic (1967) |
| Doctoral advisor | John Newsome Crossley |
| Doctoral students | |
| Known for | Aczel's anti-foundation axiom |
|
Website www | |
Peter Henry George Aczel (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][13]
Education
Aczel completed his Bachelor of Arts in Mathematics in 1963[14] followed by a DPhil at the University of Oxford in 1966 under the supervision of John Crossley.[7][15]
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.[14] He was a visiting scholar at the Institute for Advanced Study in 2012.[16]
Aczel is on the editorial board of the Notre Dame Journal of Formal Logic[17] 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.[14][18]
References
- ↑ Belo, Joao Filipe Castel-Branco (2008). Foundations of dependently sorted logic (PhD thesis). University of Manchester.
- ↑ Fox, Christopher Martin (2005). Point-set and point-free topology in constructive set theory (PhD thesis). University of Manchester.
- ↑ Gambino, Nicolas (2002). Sheaf interpretations for generalised predicative intuitionistic systems (PhD thesis). University of Manchester.
- ↑ Barthe, Gilles Jacques (1993). Term declaration logic and generalised composita (PhD thesis). University of Manchester.
- ↑ Koletsos, George (1980). Functional interpretation and β-logic (PhD thesis). University of Manchester.
- ↑ Väänänen, Jouko Antero (1977). Applications of set theory to generalised quantifiers (PhD thesis). University of Manchester.
- 1 2 Peter Aczel at the Mathematics Genealogy Project
- ↑ http://plato.stanford.edu/entries/nonwellfounded-set-theory/index.html
- ↑ Aczel, P. (1977). "An Introduction to Inductive Definitions". Handbook of Mathematical Logic. Studies in Logic and the Foundations of Mathematics. 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. 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. 101. pp. 31–32. doi:10.1016/S0049-237X(08)71252-7. ISBN 9780444853455.
- ↑ http://scholar.google.com/scholar?q=peter+aczel Peter Aczel publications in Google Scholar
- ↑ Peter Aczel at DBLP Bibliography Server
- 1 2 3 http://www.manchester.ac.uk/research/Peter.Aczel/ 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
- ↑ http://ndjfl.nd.edu/ Notre Dame Journal of Formal Logic
- ↑ http://www.journals.elsevier.com/annals-of-pure-and-applied-logic/ Annals of Pure and Applied Logic