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» Experiments with ZF Set Theory in HOL and Isabelle
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TPHOL
1995
IEEE
13 years 11 months ago
Experiments with ZF Set Theory in HOL and Isabelle
Sten Agerholm, Michael J. C. Gordon
ITP
2010
165views Mathematics» more  ITP 2010»
13 years 11 months ago
A Mechanized Translation from Higher-Order Logic to Set Theory
Abstract. In order to make existing formalizations available for settheoretic developments, we present an automated translation of theories from Isabelle/HOL to Isabelle/ZF. This c...
Alexander Krauss, Andreas Schropp
JAPLL
2006
87views more  JAPLL 2006»
13 years 7 months ago
Is ZF a hack?: Comparing the complexity of some (formalist interpretations of) foundational systems for mathematics
This paper presents Automath encodings (which also are valid in LF/P) of various kinds of foundations of mathematics. Then it compares these encodings according to their size, to f...
Freek Wiedijk
TPHOL
2008
IEEE
14 years 1 months ago
The Isabelle Framework
g to the well-known “LCF approach” of secure inferences as abstract datatype constructors in ML [16]; explicit proof terms are also available [8]. Isabelle/Isar provides sophis...
Makarius Wenzel, Lawrence C. Paulson, Tobias Nipko...
TYPES
1994
Springer
13 years 11 months ago
A Concrete Final Coalgebra Theorem for ZF Set Theory
A special final coalgebra theorem, in the style of Aczel's [2], is proved within standard Zermelo-Fraenkel set theory. Aczel's AntiFoundation Axiom is replaced by a varia...
Lawrence C. Paulson