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Authors: Jerzy Król ; Andrew Schumann and Krzysztof Bielas

Affiliation: Chair of Cognitive Science and Mathematical Modelling, University of Information Technology and Management in Rzeszów, Sucharskiego 2, 35-225 Rzeszów, Poland

Keyword(s): Swarm Intelligence, Category Theory, Yoneda Embedding, Emergency.

Abstract: We propose the model approaching the problems of organisation, computing and emergent behavior of certain swarms from category theory point of view. In this model the Yoneda embedding to the category of presheaves spanned over the basic category of partial recursive functions, is activated by external stimuli and the resulting excited domains carry collective self-organising processes. We find that the intuitionistic logic of the presheaf topos becomes a primary logic for a way how swarms act and how they should be described algorithmically.

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Paper citation in several formats:
Król, J.; Schumann, A. and Bielas, K. (2021). Categorical Approach to Swarm Computations. In Proceedings of the 14th International Joint Conference on Biomedical Engineering Systems and Technologies - Paradigms-Methods-Approaches; ISBN 978-989-758-490-9; ISSN 2184-4305, SciTePress, pages 218-224. DOI: 10.5220/0010389502180224

@conference{paradigms-methods-approaches21,
author={Jerzy Król. and Andrew Schumann. and Krzysztof Bielas.},
title={Categorical Approach to Swarm Computations},
booktitle={Proceedings of the 14th International Joint Conference on Biomedical Engineering Systems and Technologies - Paradigms-Methods-Approaches},
year={2021},
pages={218-224},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0010389502180224},
isbn={978-989-758-490-9},
issn={2184-4305},
}

TY - CONF

JO - Proceedings of the 14th International Joint Conference on Biomedical Engineering Systems and Technologies - Paradigms-Methods-Approaches
TI - Categorical Approach to Swarm Computations
SN - 978-989-758-490-9
IS - 2184-4305
AU - Król, J.
AU - Schumann, A.
AU - Bielas, K.
PY - 2021
SP - 218
EP - 224
DO - 10.5220/0010389502180224
PB - SciTePress