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Indexed Coinduction in a Fibrational Setting

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Algorithms and Architectures for Parallel Processing (ICA3PP 2018)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11338))

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Abstract

This paper provided some logical structures over fibration including comprehension and equation functor, then described semantic behavior by corecursion, also represented universal coinductive rule in a fibrational setting. Comparing the traditional methods, our works do not rely on special semantics computation context, which can analyze semantics elaborately of indexed coinductive data type and described its coinductive rule.

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Acknowledgements

This study is supported by Guangdong Province High School Outstanding Young Teacher Training Project, China (Grant No. YQ2014155) and Guangdong Provincial Natural Science Foundation, China (Grant No. 2018A0303130274).

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Authors and Affiliations

  1. Shaoguan University, Shaoguan, 512005, Guangdong, China

    Decheng Miao

  2. South China University of Technology, Guangzhou, 510640, Guangdong, China

    Jianqing Xi

Authors
  1. Decheng Miao
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  2. Jianqing Xi
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Corresponding author

Correspondence to Decheng Miao .

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Editors and Affiliations

  1. Memorial University, St. John’s, NL, Canada

    Ting Hu

  2. Wuhan University, Wuhan, China

    Feng Wang

  3. University of Electronic Science and Technology of China, Chengdu, China

    Hongwei Li

  4. School of Cyber Science and Engineering, Wuhan, China

    Qian Wang

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Miao, D., Xi, J. (2018). Indexed Coinduction in a Fibrational Setting. In: Hu, T., Wang, F., Li, H., Wang, Q. (eds) Algorithms and Architectures for Parallel Processing. ICA3PP 2018. Lecture Notes in Computer Science(), vol 11338. Springer, Cham. https://doi.org/10.1007/978-3-030-05234-8_2

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  • DOI: https://doi.org/10.1007/978-3-030-05234-8_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-05233-1

  • Online ISBN: 978-3-030-05234-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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