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src/ZF/Constructible/README.html

author | ballarin |

Thu Dec 11 18:30:26 2008 +0100 (2008-12-11) | |

changeset 29223 | e09c53289830 |

parent 15582 | 7219facb3fd0 |

child 36862 | 952b2b102a0a |

permissions | -rw-r--r-- |

Conversion of HOL-Main and ZF to new locales.

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9 <title>ZF/Constructible/README</title>

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12 <body>

13 <h1>Constructible--Relative Consistency of the Axiom of Choice</h1>

15 Gödel's proof of the relative consistency of the axiom of choice is

16 mechanized using Isabelle/ZF. The proof builds upon a previous mechanization

17 of the

18 <a href="http://www.cl.cam.ac.uk/users/lcp/papers/Sets/reflection.pdf">reflection

19 theorem</a>. The heavy reliance on metatheory in the original proof makes the

20 formalization unusually long, and not entirely satisfactory: two parts of the

21 proof do not fit together. It seems impossible to solve these problems

22 without formalizing the metatheory. However, the present development follows

23 a standard textbook, Kunen's <strong>Set Theory</strong>, and could support the

24 formalization of further material from that book. It also serves as an

25 example of what to expect when deep mathematics is formalized.

27 A paper describing this development is

28 <a href="http://www.cl.cam.ac.uk/TechReports/UCAM-CL-TR-551.pdf">available</a>.

30 <hr>

32 <p>

34 Last modified $Date$

36 <address>

37 <a href="http://www.cl.cam.ac.uk/users/lcp/">Larry Paulson</a>,

38 <a href="mailto:lcp@cl.cam.ac.uk">lcp@cl.cam.ac.uk</a>

39 </address>

40 </body>

41 </html>