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» Algebras and Coalgebras
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SBMF
2009
Springer
14 years 2 months ago
Corecursive Algebras: A Study of General Structured Corecursion
Motivated by issues in designing practical total functional programming languages, we are interested in structured recursive equations that uniquely describe a function not because...
Venanzio Capretta, Tarmo Uustalu, Varmo Vene
LICS
2009
IEEE
14 years 2 months ago
An Algebra for Kripke Polynomial Coalgebras
Several dynamical systems, such as deterministic automata and labelled transition systems, can be described as coalgebras of so-called Kripke polynomial functors, built up from co...
Marcello M. Bonsangue, Jan J. M. M. Rutten, Alexan...
ENTCS
2007
116views more  ENTCS 2007»
13 years 7 months ago
Co-Algebraic Models for Quantitative Spatial Logics
We introduce a class of coalgebraic models and a family of modal logics that support the specication of spatial properties of distributed applications. The evaluation of a formul...
Vincenzo Ciancia, Gian Luigi Ferrari
FOSSACS
2008
Springer
13 years 9 months ago
The Microcosm Principle and Concurrency in Coalgebra
Abstract. Coalgebras are categorical presentations of state-based systems. In investigating parallel composition of coalgebras (realizing concurrency), we observe that the same alg...
Ichiro Hasuo, Bart Jacobs, Ana Sokolova
CALCO
2007
Springer
118views Mathematics» more  CALCO 2007»
14 years 1 months ago
Free Modal Algebras: A Coalgebraic Perspective
In this paper we discuss a uniform method for constructing free modal and distributive modal algebras. This method draws on works by (Abramsky 2005) and (Ghilardi 1995). We revisit...
Nick Bezhanishvili, Alexander Kurz