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SLOGICA
2010
138views more  SLOGICA 2010»
13 years 5 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
14 years 12 days 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»
13 years 7 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»
13 years 7 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»
13 years 7 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