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Dissipative Arithmetic

Langdon, WB; (2022) Dissipative Arithmetic. Complex Systems , 31 (3) pp. 287-309. 10.25088/ComplexSystems.31.3.287. Green open access

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Abstract

Large arithmetic expressions are dissipative: they lose information and are robust to perturbations. Lack of conservation gives resilience to fluc-tuations. The limited precision of floating point and the mixture of linear and nonlinear operations make such functions anti-fragile and give a largely stable locally flat plateau a rich fitness landscape. This slows long-term evolution of complex programs, suggesting a need for depth-aware crossover and mutation operators in tree-based genetic program-ming. It also suggests that deeply nested computer program source code is error tolerant because disruptions tend to fail to propagate, and there-fore the optimal placement of test oracles is as close to software defects as practical.

Type: Article
Title: Dissipative Arithmetic
Open access status: An open access version is available from UCL Discovery
DOI: 10.25088/ComplexSystems.31.3.287
Publisher version: https://doi.org/10.25088/ComplexSystems.31.3.287
Language: English
Additional information: This article is published under the most flexible reuse standard—the CC BY license (https://creativecommons.org/licenses/by/4.0).
Keywords: information loss; irreversible computing; entropy; evolvability; arithmetic; software mutational robustness; optimal test oracle placement; evolution of complexity; data dependent computational irreducibility; effective computational equivalence; experimental mathematics; algorithmic information dynamics
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science
URI: https://discovery.ucl.ac.uk/id/eprint/10159883
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