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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > The relative consistency of the axiom of choice mechanized using Isabelle/ZF

## The relative consistency of the axiom of choice mechanized using Isabelle/ZFAdd to your list(s) Download to your calendar using vCal - Paulson, L (University of Cambridge)
- Thursday 22 March 2012, 13:30-15:00
- Discussion Room, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Semantics and Syntax: A Legacy of Alan Turing The proof of the relative consistency of the axiom of choice has been mechanized using Isabelle/ZF, building on a previous mechanization of the reflection theorem. The heavy reliance on metatheory in the original proof makes the formalization unusually long, and not entirely satisfactory: two parts of the proof do not fit together. It seems impossible to solve these problems without formalizing the metatheory. However, the present development follows a standard textbook, Kenneth Kunen’s Set theory: an introduction to independence proofs, and could support the formalization of further material from that book. It also serves as an example of what to expect when deep mathematics is formalized. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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