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idris-ct: a library to do category theory in Idris. (English) Zbl 07453982

Baez, John (ed.) et al., Proceedings of the applied category theory 2019, ACT 2019, University of Oxford, UK, July 15–19, 2019. Waterloo: Open Publishing Association (OPA). Electron. Proc. Theor. Comput. Sci. (EPTCS) 323, 246-254 (2020).
Summary: We introduce idris-ct, a Idris library providing verified type definitions of categorical concepts. idris-ct strives to be a bridge between academy and industry, catering both to category theorists who want to implement and try their ideas in a practical environment and to businesses and engineers who care about formalization with category theory: It is inspired by similar libraries developed for theorem proving but remains very practical, being aimed at software production in business. Nevertheless, the use of dependent types allows for a formally correct implementation of categorical concepts, so that guarantees can be made on software properties.
For the entire collection see [Zbl 1466.68006].

MSC:

68-XX Computer science
18-XX Category theory; homological algebra
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References:

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