The Countdown Problem

Hutton, Graham (2002) The Countdown Problem. Journal of Functional Programming, 12 (6). pp. 609-616.

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Abstract

We systematically develop a functional program that solves the countdown problem, a numbers game in which the aim is to construct arithmetic expressions satisfying certain constraints. Starting from a formal specification of the problem, we present a simple but inefficient program that solves the problem, and prove that this program is correct. We then use program fusion to calculate an equivalent but more efficient program, which is then further improved by exploiting arithmetic properties.

Item Type:Article
Schools/Departments:Faculty of Science > School of Computer Science and Information Technology
ID Code:226
Deposited By:Hutton, Graham
Deposited On:26 Oct 2005
Last Modified:09 Oct 2007 16:50

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