Sciweavers

HIS
2003
14 years 16 days 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
FCS
2006
14 years 17 days ago
Naming and its Regularities in Distributed Environments
: Many of the Internet's problems are related to names. There are many empirical ideas of the further development of naming on the Internet. However, there are no theoretical ...
Mark Burgin, Anshul Taldon
BIRTHDAY
2008
Springer
14 years 1 months ago
Why Sets?
Sets play a key role in foundations of mathematics. Why? To what extent is it an accident of history? Imagine that you have a chance to talk to mathematicians from a far-away plane...
Andreas Blass
TACS
1994
Springer
14 years 3 months ago
An Operational Approach to Combining Classical Set Theory and Functional Programming Languages
Abstract. We have designed a programming logic based on an integration of functional programming languages with classical set theory. The logic merges a classical view of equality ...
Douglas J. Howe, Scott D. Stoller
TABLEAUX
1998
Springer
14 years 3 months ago
A Tableau Calculus for Quantifier-Free Set Theoretic Formulae
Abstract. Set theory is the common language of mathematics. Therefore, set theory plays an important r^ole in many important applications of automated deduction. In this paper, we ...
Bernhard Beckert, Ulrike Hartmer
LICS
2002
IEEE
14 years 4 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
CSL
2004
Springer
14 years 4 months ago
A Dependent Type Theory with Names and Binding
We consider the problem of providing formal support for working tract syntax involving variable binders. Gabbay and Pitts have shown in their work on Fraenkel-Mostowski (FM) set th...
Ulrich Schöpp, Ian Stark
LICS
2007
IEEE
14 years 5 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
RSFDGRC
2009
Springer
14 years 5 months ago
Fuzzy Sets and Rough Sets for Scenario Modelling and Analysis
Abstract. Both fuzzy set theory and rough set theory play an important role in data-driven, systems modelling and analysis. They have been successfully applied to building various ...
Qiang Shen