Peter Aczel

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Peter Aczel
Aczel Rathjen.jpg
Peter Aczel (left) with Michael Rathjen, Oberwolfach 2004
Born Peter Henry George Aczel
(1941-10-31) 31 October 1941 (age 76)
Alma mater University of Oxford
Known for Aczel's anti-foundation axiom
Scientific career
Thesis Mathematical problems in logic (1967)
Doctoral advisor John Newsome Crossley

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.[1] He is known for his work in non-well-founded set theory,[2] constructive set theory,[3][4] and Frege structures.[5][6]


Aczel completed his Bachelor of Arts in Mathematics in 1963[7] followed by a DPhil at the University of Oxford in 1966 under the supervision of John Crossley.[1][8]

Career and research[edit]

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.[7] He was a visiting scholar at the Institute for Advanced Study in 2012.[9]

Aczel is on the editorial board of the Notre Dame Journal of Formal Logic[10] 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.[7][11]


  1. ^ a b Peter Aczel at the Mathematics Genealogy Project
  2. ^
  3. ^ 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. 
  4. ^ 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. 
  5. ^ 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. 
  6. ^ Peter Aczel at DBLP Bibliography Server Edit this at Wikidata
  7. ^ a b c Peter Aczel page the University of Manchester
  8. ^ Aczel, Peter (1966). Mathematical problems in logic (DPhil thesis). University of Oxford. (subscription required)
  9. ^ Institute for Advanced Study: A Community of Scholars
  10. ^ Notre Dame Journal of Formal Logic
  11. ^ Annals of Pure and Applied Logic