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» Semi-Contraction: Axioms and Construction
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NDJFL
1998
85views more  NDJFL 1998»
13 years 5 months ago
Semi-Contraction: Axioms and Construction
Eduardo L. Fermé, Ricardo Oscar Rodrí...
RML
2006
134views Business» more  RML 2006»
13 years 5 months ago
A Note on Transitive Sets without the Foundation Axiom
We construct a model of set theory without the foundation axiom in which there exists a transitive set whose intersection is not transitive.
Marcin Kysiak
TYPES
2000
Springer
13 years 9 months ago
Constructive Reals in Coq: Axioms and Categoricity
We describe a construction of the real numbers carried out in the Coq proof assistant. The basis is a set of axioms for the constructive real numbers as used in the FTA (Fundamenta...
Herman Geuvers, Milad Niqui
AML
2010
102views more  AML 2010»
13 years 5 months ago
Kripke models for subtheories of CZF
In this paper a method to construct Kripke models for subtheories of constructive set theory is introduced that uses constructions from classical model theory such as constructibl...
Rosalie Iemhoff
TYPES
2000
Springer
13 years 9 months ago
A Tour with Constructive Real Numbers
Abstract. The aim of this work is to characterize constructive real numbers through a minimal axiomatization. We introduce, discuss and justify 16 constructive axioms. Then we addr...
Alberto Ciaffaglione, Pietro Di Gianantonio