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...
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...
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...
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...