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CIE
2010
Springer
14 years 12 days 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
APAL
2007
104views more  APAL 2007»
13 years 7 months ago
Non-well-founded trees in categories
Non-well-founded trees are used in mathematics and computer science, for modelling non-well-founded sets, as well as non-terminating processes or infinite data structures. Catego...
Benno van den Berg, Federico De Marchi
CSL
2001
Springer
14 years 3 days 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
FUZZIEEE
2007
IEEE
14 years 1 months ago
A Generalized Class of T-norms From a Categorical Point of View
Abstract— Triangular norms or t-norms, in short, and automorphisms are very useful to fuzzy logics in the narrow sense. However, these notions are usually limited to the set [0, ...
Benjamín C. Bedregal, Hélida S. Sant...
IMPERIAL
1993
13 years 11 months ago
Deriving Category Theory from Type Theory
This work expounds the notion that (structured) categories are syntax free presentations of type theories, and shows some of the ideas involved in deriving categorical semantics f...
Roy L. Crole