4 search results - page 1 / 1 » A Concrete Final Coalgebra Theorem for ZF Set Theory |
TYPES
1994
Springer
13 years 9 months ago
1994
Springer
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...
JSYML
2007
13 years 4 months ago
2007
The paper uses the formalism of indexed categories to recover the proof of a standard final coalgebra theorem, thus showing existence of final coalgebras for a special class of ...
AML
2011
12 years 12 months ago
2011
In this paper we prove three theorems about the theory of Borel sets in models of ZF without any form of the axiom of choice. We prove that if B ⊆ 2ω is a Gδσ-set then either...
LICS
2002
IEEE
13 years 9 months ago
2002
IEEE
This paper provides a unifying axiomatic account of the interpretation of recursive types that incorporates both domain-theoretic and realizability models as concrete instances. O...