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Tuesday 10 June 2008, 13:00-14:00
The Relative Consistency of the Axiom of Choice, Mechanized Using Isabelle/ZF
- 👤 Speaker: Lawrence Paulson (University of Cambridge)
- 📅 Date & Time: Tuesday 10 June 2008, 13:00 - 14:00
- 📍 Venue: Computer Laboratory, William Gates Building, Room SS03
Abstract
The proof of the relative consistency of the axiom of choice has been mechanized using Isabelle/ZF. The proof builds upon 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, Kunen’s Set Theory, 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.
Series This talk is part of the Computer Laboratory Automated Reasoning Group Lunches series.
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