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AMAST
2010
Springer
13 years 6 months ago
Type Fusion
Fusion is an indispensable tool in the arsenal of techniques for program derivation. Less well-known, but equally valuable is type fusion, which states conditions for fusing an app...
Ralf Hinze
ENTCS
2002
109views more  ENTCS 2002»
13 years 11 months ago
Induction, Coinduction, and Adjoints
We investigate the reasons for which the existence of certain right adjoints implies the existence of some final coalgebras, and vice-versa. In particular we prove and discuss the...
J. Robin B. Cockett, Luigi Santocanale
ENTCS
2002
136views more  ENTCS 2002»
13 years 11 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...
ITA
2007
13 years 11 months ago
Recursive coalgebras of finitary functors
Abstract For finitary set functors preserving inverse images several concepts of coalgebras A are proved to be equivalent: (i) A has a homomorphism into the initial algebra, (ii) ...
Jirí Adámek, Dominik Lücke, Ste...
SAS
1993
Springer
104views Formal Methods» more  SAS 1993»
14 years 3 months ago
Strictness Properties of Lazy Algebraic Datatypes
A new construction of a finite set of strictness properties for any lazy algebraic datatype is presented. The construction is based on the categorical view of the solutions to the...
P. N. Benton