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The Use of Convolutional Polycategories in Problems of Artificial Intelligence

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Book cover Advances in Artificial Systems for Medicine and Education III (AIMEE 2019)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1126))

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Abstract

Convolutional polycategories introduced by the author find application in the general theory of systems, in the theory of artificial neural networks, in other areas of artificial intelligence. The report gives further applications of convolutional polycategories in algebraic biology and logical calculi, covering the classical and intuitionistic predicate calculus. Based on the formalism of convolutional polycategories, a new categorical definition of information is given, reflecting its semantic component. This definition finds application in algebraic biology with a basic code example of DNA and RNA molecules in a cell. A polycategorical model is given for the method of typical quantifiers used in AI and stronger than the Robinson method and the inverse Maslov method. The model reveals the categorical basis of calculus and is used to study the properties of the calculus of typical quantifiers. The main results are of a fundamental theoretical nature for algebraic biology and AI.

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Authors and Affiliations

  1. Federal Scientific Agro-Engineering Center VIM, Russian Academy of Sciences, 1st Institute Passage, 5, Moscow, Russia

    Georgy K. Tolokonnikov

Authors
  1. Georgy K. Tolokonnikov
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Correspondence to Georgy K. Tolokonnikov .

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Editors and Affiliations

  1. School of Educational Information Technology, Central China Normal University, Wuhan, Hubei, China

    Zhengbing Hu

  2. Mechanical Engineering Research Institute, Russian Academy of Sciences, Moscow, Russia

    Sergey Petoukhov

  3. Halmos College of Natural Sciences and Oceanography, Nova Southeastern University, Davie, FL, USA

    Matthew He

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Tolokonnikov, G.K. (2020). The Use of Convolutional Polycategories in Problems of Artificial Intelligence. In: Hu, Z., Petoukhov, S., He, M. (eds) Advances in Artificial Systems for Medicine and Education III. AIMEE 2019. Advances in Intelligent Systems and Computing, vol 1126. Springer, Cham. https://doi.org/10.1007/978-3-030-39162-1_3

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