# Peter Aczel

**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]

Peter Aczel | |
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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 |

Website | www |

## Education

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

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]

## References

- 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.**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. - Peter Aczel at DBLP Bibliography Server
- 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