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» Recursive coalgebras from comonads
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IANDC
2006
99views more  IANDC 2006»
13 years 11 months ago
Recursive coalgebras from comonads
We discuss Osius's [22] concept of a recursive coalgebra of a functor from the perspective of programming semantics and give some new sufficient conditions for the recursiven...
Venanzio Capretta, Tarmo Uustalu, Varmo Vene
CALCO
2011
Springer
205views Mathematics» more  CALCO 2011»
12 years 11 months ago
Bases as Coalgebras
Abstract. The free algebra adjunction, between the category of algebras of a monad and the underlying category, induces a comonad on the category of algebras. The coalgebras of thi...
Bart Jacobs
FOSSACS
2010
Springer
14 years 5 months ago
CIA Structures and the Semantics of Recursion
Final coalgebras for a functor serve as semantic domains for state based systems of various types. For example, formal languages, streams, nonwell-founded sets and behaviors of CCS...
Stefan Milius, Lawrence S. Moss, Daniel Schwencke
ENTCS
2006
125views more  ENTCS 2006»
13 years 11 months ago
Monads and Adjunctions for Global Exceptions
In this paper, we look at two categorical accounts of computational effects (strong monad as a model of the monadic metalanguage, adjunction as a model of call-bypush-value with s...
Paul Blain Levy
SBMF
2009
Springer
14 years 5 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