HIS
2003
14 years 1 months ago
2003
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...
FCS
2006
14 years 1 months ago
2006
: 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 ...
BIRTHDAY
2008
Springer
14 years 2 months ago
2008
Springer
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...
CIE
2006
Springer
14 years 4 months ago
2006
Springer
G
TACS
1994
Springer
14 years 4 months ago
1994
Springer
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 ...
TABLEAUX
1998
Springer
14 years 4 months ago
1998
Springer
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 ...
LICS
2002
IEEE
14 years 5 months ago
2002
IEEE
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...
CSL
2004
Springer
14 years 5 months ago
2004
Springer
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...
LICS
2007
IEEE
14 years 6 months ago
2007
IEEE
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...
RSFDGRC
2009
Springer
14 years 7 months ago
2009
Springer
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 ...