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International Conference on Sensing and Imaging

ICSI 2022: Advances in Swarm Intelligence pp 261–271Cite as

Reasoning About Order Crossover in Genetic Algorithms

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 13344))

Abstract

The formal modeling and verification of algorithms is a challenging task, but it is a necessary requirement for the proof of correctness. Evolutionary computation and theorem proving approach of formal methods are two different domains in theoretical computer science. Using Prototype Verification System (PVS), this paper presents a method of formal specification, reasoning and verification for order crossover operator in Genetic Algorithms (GAs) and their rudimentary properties. Order crossover operator is first formally specified in PVS specification language. Some other operators used in the definitions of order crossover are also specified. PVS theorem prover is then used to prove some properties of order crossover and operators.

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Notes

  1. 1.

    We have used the symbol o for concatenation according to PVS syntax.

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Author information

Authors and Affiliations

  1. School of Computer Science and Software Engineering, Shenzhen University, Shenzhen, China

    M. Saqib Nawaz & Philippe Fournier-Viger

  2. School of Information Science and Engineering, East China University of Science and Technology, Shanghai, China

    Saleha Noor

Authors
  1. M. Saqib Nawaz
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  2. Saleha Noor
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  3. Philippe Fournier-Viger
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Corresponding author

Correspondence to Philippe Fournier-Viger .

Editor information

Editors and Affiliations

  1. Peking University, Beijing, China

    Ying Tan

  2. Southern University of Science and Technology, Shenzhen, China

    Yuhui Shi

  3. Shenzhen University, Shenzhen, China

    Ben Niu

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Nawaz, M.S., Noor, S., Fournier-Viger, P. (2022). Reasoning About Order Crossover in Genetic Algorithms. In: Tan, Y., Shi, Y., Niu, B. (eds) Advances in Swarm Intelligence. ICSI 2022. Lecture Notes in Computer Science, vol 13344. Springer, Cham. https://doi.org/10.1007/978-3-031-09677-8_22

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  • DOI: https://doi.org/10.1007/978-3-031-09677-8_22

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-09676-1

  • Online ISBN: 978-3-031-09677-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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