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Universal Algebra in UniMath
arXiv - CS - Logic in Computer Science Pub Date : 2020-07-09 , DOI: arxiv-2007.04840
Gianluca Amato, Marco Maggesi, Maurizio Parton, Cosimo Perini Brogi

We present an ongoing effort to implement Universal Algebra in the UniMath system. Our aim is to develop a general framework for formalizing and studying Universal Algebra in a proof assistant. By constituting a formal system for isolating the invariants of the theory we are interested in -- that is, general algebraic structures modulo isomorphism -- Univalent Mathematics seems to provide a suitable environment to carry on our endeavour.

中文翻译:

UniMath 中的通用代数

我们目前正在努力在 UniMath 系统中实施通用代数。我们的目标是开发一个通用框架,用于在证明助手中形式化和研究通用代数。通过构造一个形式系统来隔离我们感兴趣的理论的不变量——即一般代数结构模同构——单价数学似乎提供了一个合适的环境来继续我们的努力。
更新日期:2020-07-10
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