Manufacturing Datatypes

Manufacturing Datatypes (1999)

by Ralf Hinze

Citations:

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Datum	Value	Source
TITLE	Manufacturing Datatypes	user correction - Legacy Corrections
AUTHOR NAME	Ralf Hinze	SVM HeaderParse 0.1
AUTHOR AFFIL	Institut fur Informatik III, Universitat Bonn	SVM HeaderParse 0.2
AUTHOR ADDR	Romerstra��e 164, 53117 Bonn, Germany	SVM HeaderParse 0.1
ABSTRACT	This paper describes a general framework for designing purely functional datatypes that automatically satisfy given size or structural constraints. Using the framework we develop implementations of different matrix types (eg square matrices) and implementations of several tree types (eg Braun trees, 2-3 trees). Consider, for instance, representing square n \Theta n matrices. The usual representation using lists of lists fails to meet the structural constraints: there is no way to ensure that the outer list and the inner lists have the same length. The main idea of our approach is to solve in a first step a related, but simpler problem, namely to generate the multiset of all square numbers. In order to describe this multiset we employ recursion equations involving finite multisets, multiset union, addition and multiplication lifted to multisets. In a second step we mechanically derive datatype definitions from these recursion equations which enforce the `squareness' constraint. The tra...	user correction - Legacy Corrections
YEAR	1999	user correction - Legacy Corrections
CITATIONS	16 found	ParsCit 1.0