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» Experiments with ZF Set Theory in HOL and Isabelle
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TPHOL
1995
IEEE
13 years 8 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 9 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 5 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
13 years 11 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 9 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