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JLP
2006
138views more  JLP 2006»
13 years 7 months ago
Algebraic-coalgebraic specification in CoCasl
We introduce CoCasl as a light-weight but expressive coalgebraic extension of the algebraic specification language Casl. CoCasl allows the nested combination of algebraic datatype...
Till Mossakowski, Lutz Schröder, Markus Rogge...
CALCO
2011
Springer
205views Mathematics» more  CALCO 2011»
12 years 7 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
ACMMPC
2000
Springer
236views Mathematics» more  ACMMPC 2000»
13 years 12 months ago
Calculating Functional Programs
Abstract. Functional programs are merely equations; they may be manipulated by straightforward equational reasoning. In particular, one can use this style of reasoning to calculate...
Jeremy Gibbons
ACS
2008
13 years 7 months ago
Algebras Versus Coalgebras
Algebras and coalgebras are fundamental notions for large parts of mathematics. The basic constructions from universal algebra are now expressed in the language of categories and ...
Robert Wisbauer
ENTCS
2002
136views more  ENTCS 2002»
13 years 7 months ago
Final Coalgebras And a Solution Theorem for Arbitrary Endofunctors
Every endofunctor F of Set has an initial algebra and a final coalgebra, but they are classes in general. Consequently, the endofunctor F of the category of classes that F induces...
Jirí Adámek, Stefan Milius, Jiri Vel...