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SLOGICA
2010
138views more  SLOGICA 2010»
14 years 8 months ago
Extensionality and Restriction in Naive Set Theory
Abstract. The naive set theory problem is to begin with a full comprehension axiom, and to find a logic strong enough to prove theorems, but weak enough not to prove everything. T...
Zach Weber
LICS
2002
IEEE
15 years 2 months ago
Computational Adequacy for Recursive Types in Models of Intuitionistic Set Theory
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...
Alex K. Simpson
APAL
2008
95views more  APAL 2008»
14 years 9 months ago
The associated sheaf functor theorem in algebraic set theory
Abstract. We prove a version of the associated sheaf functor theorem in Algebraic Set Theory. The proof is established working within a Heyting pretopos equipped with a system of s...
Nicola Gambino
APAL
2007
83views more  APAL 2007»
14 years 9 months ago
On Feferman's operational set theory OST
We study OST and some of its most important extensions primarily from a proof-theoretic perspective, determine their consistency strengths by exhibiting equivalent systems in the ...
Gerhard Jäger
JSC
2006
122views more  JSC 2006»
14 years 9 months ago
An automated prover for Zermelo-Fraenkel set theory in Theorema
This paper presents some fundamental aspects of the design and the implementation of an automated prover for Zermelo-Fraenkel set theory within the well-known Theorema system. The...
Wolfgang Windsteiger