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  Categorical data types (1993) [8 citations — 1 self]

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by D. B. Skillicorn
In Second Workshop on Abstract Models for Parallel Computation
ftp://ftp.qucis.queensu.ca/pub/skill/molecules.ps.Z
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Abstract:

An ideal abstract model for parallel computation must carefully balance requirements for effective software engineering with requirements for efficient implementation. Models based on sets of fixed communication/computation patterns satisfy these requirements but, in general, the sets of patterns are chosen arbitrarily. Categorical data types are a way of building such models while automatically generating operations, equations, and a guarantee of completeness. We illustrate this construction, and its usefulness for practical problems, by building the type of chemical molecules and showing how molecular properties can be computed in parallel.

Citations

694 Parallel Program Design: A Foundation – Chandy, Misra - 1988
328 Algorithmic Skeletons: structured management of parallel computation – Cole - 1989
241 Vector Models for Data-Parallel Computing – Blelloch - 1990
207 An Introduction to the Theory of Lists – Bird - 1986
138 Parallel programming using skeleton functions – Darlington, Field, et al. - 1993
95 The Implementation of Functional Programming Languages – Peyton-Jones - 1987
94 Architecture-Independent Parallel Computation – Skillicorn - 1990
78 Algebraic data types and program transformation – Malcolm - 1990
65 The Paralation Model: Architecture-Independent Parallel Programming – Sabot - 1988
55 A cost calculus for parallel functional programming – Skillicorn, Cai - 1995
54 Algebraic identities for program calculation – Bird - 1989
39 A methodology for the development and support of massively parallel programs – Danelutto, Meglio, et al. - 1992
38 Parallel programming in Maude – Meseguer, Winkler - 1992
27 Algebras for Tree Algorithms – Gibbons - 1991
19 Formal derivation of a pattern matching algorithm – Bird, Gibbons, et al. - 1989
2 Equational Code Generation – Skillicorn, Cai - 1992
1 Flat arrays as a categorical data type. submitted – Banger, Skillicorn