JSYML
2002
14 years 3 months ago
2002
In this article we provide wellordering proofs for metapredicative systems of explicit mathematics and admissible set theory featuring suitable axioms about the Mahloness of the u...
APAL
2002
14 years 3 months ago
2002
In this paper we discuss extensions of Feferman's theory T0 for explicit mathematics by the so-called limit and Mahlo axioms and present a novel approach to constructing natu...
APAL
2005
14 years 3 months ago
2005
Systems of explicit mathematics provide an axiomatic framework to represent programs and to prove properties of them. We introduce such a system with a new form of power types usi...
APAL
2005
14 years 3 months ago
2005
We give a broad discussion of reflection principles in explicit mathematics, thereby addressing various kinds of universe existence principles. The proof-theoretic strength of the...