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Multidimensional infinite data in the language Lucid

Published online by Cambridge University Press:  10 November 2014

JARRYD P. BECK ,
JOHN PLAICE  and
WILLIAM W. WADGE
JARRYD P. BECK
Affiliation:
Computer Science and Engineering, University of New South Wales, Australia Email: johnplaice@gmail.com
JOHN PLAICE
Affiliation:
Computer Science and Engineering, University of New South Wales, Australia Email: johnplaice@gmail.com
WILLIAM W. WADGE
Affiliation:
Department of Computer Science, University of Victoria, Canada
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Abstract

Although the language Lucid was not originally intended to support computing with infinite data structures, the notion of (infinite) sequence quickly came to the fore, together with a demand-driven computation model in which demands are propagated for the values of particular values at particular index points. This naturally generalized to sequences of multiple dimensions so that a programmer could, for example, write a program that could be understood as a (nonterminating) loop in which one of the loop variables is an infinite vector.

Programmers inevitably found use for more and more dimensions, which led to a problem which is fully solved for the first time in this paper. The problem is that the implementation's cache requires some estimate of the dimensions actually used to compute a value being fetched. This estimate can be difficult or (if dimensions are passed as parameters) impossible to obtain, and the demand-driven evaluation model for Lucid breaks down.

We outline the evolution of Lucid which gave rise to this problem, and outline the solution, as used for the implementation of TransLucid, the latest descendant of Lucid.

Type
Paper
Information
Mathematical Structures in Computer Science , Volume 25 , Special Issue 7: Computing with Infinite Data: Topological and Logical Foundations Part 1 , October 2015 , pp. 1546 - 1568
Copyright
Copyright © Cambridge University Press 2014 

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