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FCT
2001
Springer
14 years 1 days ago
Universal Algebra and Computer Science
Abstract. Generalising modules over associative rings, the notion of modules for an endofunctor of any category is well established and useful in large parts of mathematics includi...
Boris I. Plotkin, Tanya Plotkin
TLCA
1993
Springer
13 years 11 months ago
A Logic for Parametric Polymorphism
In this paper we introduce a logic for parametric polymorphism. Just as LCF is a logic for the simply-typed λ-calculus with recursion and arithmetic, our logic is a logic for Sys...
Gordon D. Plotkin, Martín Abadi
ACS
2008
13 years 7 months ago
Fundamental Constructions for Coalgebras, Corings, and Comodules
We study the various categories of corings, coalgebras, and comodules from a categorical perspective. Emphesis is given to the question which properties of these categories can be...
Hans-E. Porst
CALCO
2009
Springer
159views Mathematics» more  CALCO 2009»
14 years 2 months ago
Complete Iterativity for Algebras with Effects
Abstract. Completely iterative algebras (cias) are those algebras in which recursive equations have unique solutions. In this paper we study complete iterativity for algebras with ...
Stefan Milius, Thorsten Palm, Daniel Schwencke
CORR
2006
Springer
120views Education» more  CORR 2006»
13 years 7 months ago
Logic Column 15: Coalgebras and Their Logics
of proposed research. A short bibliography is optional. Domain theory has been developed around 40 years since 1970s by D. Scott, and S. Abramsky revealed the "junction betwee...
Alexander Kurz