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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 [15]. 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,... (Update)
Context of citations to this paper: More
...Based Queueing (CBQ) style router. The tools used included two publicly available load generators: for TCP traffic, ttcp [Stine90, CCCI99] and for UDP traffic, netperf [HP99] The commonly avail73 able network tracing tool tcpdump [Jacobson99a] was used as the principle...
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BibTeX entry: (Update)
Computer science dept. technical report, UniversityofTennessee, Knoxville, TN, January 1993. http://citeseer.ist.psu.edu/article/paulson02relative.html More
@misc{ dept93technical,
author = "C. dept",
title = "technical report",
text = "Computer science dept. technical report, UniversityofTennessee, Knoxville,
TN, January 1993.",
year = "1993",
url = "citeseer.ist.psu.edu/article/paulson02relative.html" }
Citations (may not include all citations):509 Introduction to Lattices and Order (context) - Davey, Priestley - 1990
200 Introduction to Mathematical Logic (context) - Mendelson - 1997
143 Proving properties of security protocols by induction - Paulson - 1997
129 The foundation of a generic theorem prover - Paulson - 1989
116 Ideas and results in proof theory (context) - Prawitz - 1971
106 Lambda calculus notation with nameless dummies (context) - de Bruijn - 1972
81 Isabelle: A Generic Theorem Prover (context) - Paulson - 1994
69 IsabelleHOL Proof Assistant Higher Order Logic (context) - Lawrence, Markus et al. - 2002
58 Naive Set Theory (context) - Halmos - 1960
39 From foundations to functions (context) - Paulson, for - 1993
35 Set Theory: An Introduction to Independence Proofs (context) - Kunen - 1980
26 Set theory for verification: II (context) - Paulson - 1995
17 Mechanizing set theory: Cardinal arithmetic and the axiom of.. - Paulson, Grabczewski - 1996
9 A fixedpoint approach to (context) - Paulson - 2000
9 Formal verification of a java compiler in isabelle - Strecker
7 The consistency of the axiom of choice and of the generalize.. (context) - odel - 1990
2 Locales: A sectioning concept for Isabelle - uller, Wenzel et al. - 1999
1 The reflection theorem: A study in meta-theoretic reasoning - Paulson
1 Automated Deduction --- CADE-18 International Conference (context) - Voronkov - 2002
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