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» Algebras and Coalgebras
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CIE
2010
Springer
14 years 10 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
SBMF
2010
Springer
164views Formal Methods» more  SBMF 2010»
13 years 2 months ago
A Decision Procedure for Bisimilarity of Generalized Regular Expressions
A notion of generalized regular expressions for a large class of systems modeled as coalgebras, and an analogue of Kleene's theorem and Kleene algebra, were recently proposed ...
Marcello M. Bonsangue, Georgiana Caltais, Eugen-Io...
ACS
2008
13 years 7 months ago
Group Corings
We introduce group corings, and study functors between categories of comodules over group corings, and the relationship to graded modules over graded rings. Galois group corings ar...
Stefaan Caenepeel, K. Janssen, S. H. Wang
CALCO
2007
Springer
95views Mathematics» more  CALCO 2007»
14 years 1 months ago
Higher Dimensional Trees, Algebraically
In formal language theory, James Rogers published a series of innovative papers generalising strings and trees to higher dimensions.Motivated by applications in linguistics, his go...
Neil Ghani, Alexander Kurz
MPC
2010
Springer
177views Mathematics» more  MPC 2010»
14 years 9 days ago
Adjoint Folds and Unfolds
Abstract. Folds and unfolds are at the heart of the algebra of programming. They allow the cognoscenti to derive and manipulate programs rigorously and effectively. Fundamental la...
Ralf Hinze