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JACM
2007
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14 years 10 days ago
The rational numbers as an abstract data type
onal Numbers as an Abstract Data Type1 J A Bergstra2 University of Amsterdam, Informatics Institute, Kruislaan 403, 1098 SJ Amsterdam, The Netherlands J V Tucker3 Department of Com...
Jan A. Bergstra, J. V. Tucker
APLAS
2004
ACM
14 years 5 months ago
Build, Augment and Destroy, Universally
Abstract. We give a semantic footing to the fold/build syntax of programming with inductive types, covering shortcut deforestation, based on a universal property. Specifically, we...
Neil Ghani, Tarmo Uustalu, Varmo Vene
TLCA
2007
Springer
14 years 6 months ago
Initial Algebra Semantics Is Enough!
Initial algebra semantics is a cornerstone of the theory of modern functional programming languages. For each inductive data type, it provides a fold combinator encapsulating struc...
Patricia Johann, Neil Ghani
POPL
2008
ACM
15 years 23 days ago
Foundations for structured programming with GADTs
GADTs are at the cutting edge of functional programming and become more widely used every day. Nevertheless, the semantic foundations underlying GADTs are not well understood. In ...
Patricia Johann, Neil Ghani