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CSL
2001
Springer
14 years 4 months ago
Life without the Terminal Type
We introduce a method of extending arbitrary categories by a terminal object and apply this method in various type theoretic settings. In particular, we show that categories that a...
Lutz Schröder
CIE
2010
Springer
14 years 4 months ago
Higher-Order Containers
Containers are a semantic way to talk about strictly positive types. In previous work it was shown that containers are closed under various constructions including products, coprod...
Thorsten Altenkirch, Paul Levy, Sam Staton
ICCS
2004
Springer
14 years 4 months ago
A Cartesian Closed Category of Approximable Concept Structures
Abstract. Infinite contexts and their corresponding lattices are of theoretical and practical interest since they may offer connections with and insights from other mathematical ...
Pascal Hitzler, Guo-Qiang Zhang
ICEIS
2005
IEEE
14 years 5 months ago
Conditions for Interoperability
Abstract: Interoperability for information systems remains a challenge both at the semantic and organisational levels. The original three-level architecture for local databases nee...
B. Nick Rossiter, Michael A. Heather
TLCA
2007
Springer
14 years 5 months ago
Weakly Distributive Domains
In our previous work [17] we have shown that for any ω-algebraic meet-cpo D, if all higher-order stable function spaces built from D are ω-algebraic, then D is finitary. This ac...
Ying Jiang, Guo-Qiang Zhang
MFCS
2009
Springer
14 years 6 months ago
A General Class of Models of
Abstract. We recently introduced an extensional model of the pure λcalculus living in a cartesian closed category of sets and relations. In this paper, we provide sufficient condi...
Giulio Manzonetto