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EUSFLAT
2007
125views Fuzzy Logic» more  EUSFLAT 2007»
13 years 9 months ago
Representations of Archimedean t-norms in Interval-valued Fuzzy Set Theory
In this paper the Archimedean property and the nilpotency of t-norms on the lattice LI is investigated, where LI is the underlying lattice of interval-valued fuzzy set theory (Sam...
Glad Deschrijver
CSL
2003
Springer
14 years 21 days ago
A Strongly Normalising Curry-Howard Correspondence for IZF Set Theory
We propose a method for realising the proofs of Intuitionistic Zermelo-Fraenkel set theory (IZF) by strongly normalising λ-terms. This
Alexandre Miquel
MLQ
2006
84views more  MLQ 2006»
13 years 7 months ago
A note on Bar Induction in Constructive Set Theory
Bar Induction occupies a central place in Brouwerian mathematics. This note is concerned with the strength of Bar Induction on the basis of Constructive ZermeloFraenkel Set Theory...
Michael Rathjen
LICS
2007
IEEE
14 years 1 months ago
A Dependent Set Theory
Set theories are traditionally based on first-order logic. We show that in a constructive setting, basing a set theory on a dependent logic yields many benefits. To this end, we...
Wojciech Moczydlowski
HIS
2003
13 years 8 months ago
On a Set Theory With Uncertain Membership Relations
We logically model uncertainty by expanding language without changing logical reasoning rules. We expand the language of set theory by adding new predicate symbols, uncertain membe...
Shunsuke Yatabe, Yuzuru Kakuda, Makoto Kikuchi